{{asɛmtiNe Ɔkyerɛwfo}} | Nhomakorabea | Nneɛma a ɛma wotumi yɛ ade

1

What is the value of $x$, in inches?

$7\sqrt{3}$

$14$

$14\sqrt{3}$

$21$

1

Rocky’s Tunnel Company makes tunnels for playgrounds. Each tunnel has a circular opening with a diameter of 36 in. Which diagram shows a tunnel opening with a diameter of 36 in.?

A.

Circle with radius labeled 36 inches.

B.

Circle with diameter labeled 36 inches.

C.

Circle with a chord labeled 36 inches.

D.

Circle with circumference labeled 36 inches.

1

Which diagram shows the letter F transformed by only a slide?

A.

Two letters F, one above the other. Transformed letter F for choice A.

B.

Top letter F for choice B. Bottom transformed letter F for choice B.

C.

Top letter F for choice C. Bottom transformed letter F for choice C.

D.

Top letter F for choice D. Bottom transformed letter F for choice D.

1

In the figure below, $\overline{PR}$ and $\overline{SR}$ are tangent to circle $O$.
If $OT = 11 \text{ cm}$ and $PR = 60 \text{ cm}$, what is the length of $\overline{OR}$?

61 cm

59 cm

50 cm

48 cm

1

Which theorem of congruence should be used to prove $\triangle QRS \cong \triangle TUV$?

Angle-Side-Angle (ASA)

Angle-Angle-Side (AAS)

Side-Angle-Side (SAS)

Side-Side-Side (SSS)

1

A flagpole casts a shadow 27 feet long. Larry is 6 feet tall and casts a 5-foot shadow.
Note: The figure is not drawn to scale.
How tall is the flagpole? Round the answer to the nearest foot.

18 feet

25 feet

28 feet

32 feet

1

This diagram represents a tower. The tower is in the shape of a cone on top of a cylinder.
Which measurement is closest to the total volume of the tower?

2,200 cubic meters

2,600 cubic meters

9,400 cubic meters

10,500 cubic meters

1

Which of the following is equivalent to the expression below?
$(3x + 6y) + (2x - y)$

$5x - y$

$5x + 7y$

$6x - 6y$

$5x + 5y$

1

What is the distance between $(4, 7)$ and $(-3, 9)$ on a coordinate grid?

$\sqrt{5}$

$\sqrt{45}$

$\sqrt{53}$

$\sqrt{305}$

1

In the diagram below, hexagon $LMNPQR$ is congruent to hexagon $STUVWX$.
Which side is the same length as $\overline{MN}$?

$\overline{NP}$

$\overline{TU}$

$\overline{UV}$

$\overline{WX}$

1

Which polynomial represents $(3x^{2} + x - 4)(2x - 5)$?

$6x^{3} - 13x^{2} - 13x - 20$

$6x^{3} - 13x^{2} - 13x + 20$

$6x^{3} + 13x^{2} + 3x - 20$

$6x^{3} + 13x^{2} + 3x + 20$

1

Which parts must be congruent to prove $\triangle PQR \cong \triangle PSR$ by SAS?

$\angle Q \cong \angle S$ and $\overline{QP} \cong \overline{SP}$

$\angle Q \cong \angle S$ and $\overline{QR} \cong \overline{SR}$

$\angle QRP \cong \angle SRP$ and $\overline{QP} \cong \overline{SP}$

$\angle QPR \cong \angle SPR$ and $\overline{QP} \cong \overline{SP}$

1

Mr. Lui wants to build a bridge across the creek that runs through his property. He made measurements and drew the map shown below.
Based on this map, what is the distance across the creek at the place where Mr. Lui wants to put the bridge?

9 feet

12 feet

18 feet

24 feet

1

The right circular cylinder represented below has a base radius of 3 centimeters and a height of 12 centimeters.
What is the volume of the right circular cylinder in cubic centimeters?

$36\pi\ \text{cm}^3$

$72\pi\ \text{cm}^3$

$108\pi\ \text{cm}^3$

$432\pi\ \text{cm}^3$

1

What is the approximate volume of the cone below?

$70\ \text{cm}^3$

$183\ \text{cm}^3$

$549\ \text{cm}^3$

$733\ \text{cm}^3$

1

Triangle $ABC$ is shown below.
What is the cosine of angle $B$?

$\dfrac{3}{5}$

$\dfrac{4}{5}$

$\dfrac{5}{4}$

$\dfrac{5}{3}$

1

Use the diagram to answer the question.
Note: Not to scale
Diana looks up at an angle of $57^\circ$ and sees a hot air balloon 150 meters away. To the nearest meter, what is the value of $x$, the height of the hot air balloon above Diana’s head?

82 meters

126 meters

179 meters

231 meters

1

Given: $\overline{AB}$ and $\overline{CD}$ intersect at point $E$;
$\angle 1 \cong \angle 2$
Which theorem or postulate can be used to prove $\triangle AED \sim \triangle BEC$?

AA

SSS

ASA

SAS

1

In circle $P$, which of the following create a secant?

$\overline{QR}$

$\overline{PT}$

$\overline{US}$

$\overline{RT}$

1

Tawana is flying her kite, which is at the end of a 100-ft string. The angle the string makes with the ground is $50^\circ$.
Which equation below can be used to find the height, $x$, of the kite above the ground?

$\cos 50^\circ = \dfrac{x}{100}$

$\sin 50^\circ = \dfrac{x}{100}$

$\sin 50^\circ = \dfrac{100}{x}$

$\tan 50^\circ = \dfrac{x}{100}$

1

What is the volume of the rectangular pyramid?

72 cubic inches

200 cubic inches

320 cubic inches

960 cubic inches

1

Points A, B, and C are on circle P.
What is the $m\widehat{ACB}$?

$280^\circ$

$220^\circ$

$160^\circ$

$80^\circ$

1

$\overline{UV}$ is parallel to $\overline{WX}$. Which proportion is not true? Use the figure.

$\dfrac{UV}{WX} = \dfrac{UA}{WA}$

$\dfrac{UW}{VX} = \dfrac{WA}{XA}$

$\dfrac{UW}{WA} = \dfrac{UV}{WX}$

all

1

Which term describes $\angle 1$ and $\angle 2$?

supplementary

complementary

vertical

congruent

1

Use the figure below to answer the following question(s).
Which of the following statements gives enough additional information about the figure above to prove that $\triangle ABC$ is similar to $\triangle EDC$?

$\overline{BC}$ is the same length as $\overline{EC}$.

$\overline{BC}$ is twice as long as $\overline{CD}$.

$\angle B$ is congruent to $\angle D$.

$\angle BCA$ is congruent to $\angle CED$.

1

In the diagram below, line $l$ is parallel to line $m$, and line $k$ intersects both lines.
Based on the angle measure in the diagram, what is the value of $x$?

37

53

127

143

1

Which figure contains two congruent triangles?
A.
Quadrilateral
B.
Trapezoid
C.
Parallelogram
D.
Triangle

Quadrilateral

Trapezoid

Parallelogram

Triangle

1

Circle $J$ is inscribed in isosceles trapezoid $ABCD$, as shown below.
Points $E$, $F$, $G$, and $H$ are points of tangency. The length of $\overline{AB}$ is 10 cm. The length of $\overline{DC}$ is 20 cm. What is the length, in cm, of $\overline{BC}$?

5

10

15

30

1

Which of the following best describes what $\angle SVT$ and $\angle ZVU$ have in common?

$\overrightarrow{VT}$

$\over{VT}$

$\overleftrightarrow{VT}$

$V, T$

1

Given $\overline{RS} \parallel \overline{TU}$, $m\angle 7 = 3x - 10$, and $m\angle 3 = (2x + 5)$
What is $m\angle 1$?

145

75

35

15

1

Simplify: $(x + 2)(x^2 + 2x + 3)$

$x^3 + 7x + 6$

$5x^2 + 7x + 6$

$2x^3 + x^2 + x + 6$

$x^3 + 4x^2 + 7x + 6$

1

Which theorem can be used to prove that the triangles in the figure below are congruent?

side-by-side (SSS)

side-angle-side (SAS)

angle-side-angle (ASA)

angle-angle-side (AAS)

1

In the accompanying diagram of right triangle $ABC$, $AB = 4$ and $BC = 7$. What is the length of $AC$ to the nearest hundredth?

5.74

5.75

8.06

8.08

1

Find the measure in degrees, of the smallest angle in this triangle.

20

40

60

80

1

What is 120 degrees in radians?

2π/3

π/3

5π/3

4π/3

Geometry Final Exam Sp'26

Geometry Final Exam Sp'26

What is the value of $x$, in inches?

Rocky’s Tunnel Company makes tunnels for playgrounds. Each tunnel has a circular opening with a diameter of 36 in. Which diagram shows a tunnel opening with a diameter of 36 in.?

Which diagram shows the letter F transformed by only a slide?

In the figure below, $\overline{PR}$ and $\overline{SR}$ are tangent to circle $O$.If $OT = 11 \text{ cm}$ and $PR = 60 \text{ cm}$, what is the length of $\overline{OR}$?

Which theorem of congruence should be used to prove $\triangle QRS \cong \triangle TUV$?

A flagpole casts a shadow 27 feet long. Larry is 6 feet tall and casts a 5-foot shadow.Note: The figure is not drawn to scale.How tall is the flagpole? Round the answer to the nearest foot.

This diagram represents a tower. The tower is in the shape of a cone on top of a cylinder.Which measurement is closest to the total volume of the tower?

Which of the following is equivalent to the expression below?$(3x + 6y) + (2x - y)$

What is the distance between $(4, 7)$ and $(-3, 9)$ on a coordinate grid?

In the diagram below, hexagon $LMNPQR$ is congruent to hexagon $STUVWX$.Which side is the same length as $\overline{MN}$?

Which polynomial represents $(3x^{2} + x - 4)(2x - 5)$?

Which parts must be congruent to prove $\triangle PQR \cong \triangle PSR$ by SAS?

Mr. Lui wants to build a bridge across the creek that runs through his property. He made measurements and drew the map shown below.Based on this map, what is the distance across the creek at the place where Mr. Lui wants to put the bridge?

The right circular cylinder represented below has a base radius of 3 centimeters and a height of 12 centimeters.What is the volume of the right circular cylinder in cubic centimeters?

What is the approximate volume of the cone below?

Triangle $ABC$ is shown below.What is the cosine of angle $B$?

Use the diagram to answer the question.Note: Not to scaleDiana looks up at an angle of $57^\circ$ and sees a hot air balloon 150 meters away. To the nearest meter, what is the value of $x$, the height of the hot air balloon above Diana’s head?

Given: $\overline{AB}$ and $\overline{CD}$ intersect at point $E$;$\angle 1 \cong \angle 2$Which theorem or postulate can be used to prove $\triangle AED \sim \triangle BEC$?

In circle $P$, which of the following create a secant?

Tawana is flying her kite, which is at the end of a 100-ft string. The angle the string makes with the ground is $50^\circ$.Which equation below can be used to find the height, $x$, of the kite above the ground?

What is the volume of the rectangular pyramid?

Points A, B, and C are on circle P.What is the $m\widehat{ACB}$?

$\overline{UV}$ is parallel to $\overline{WX}$. Which proportion is not true? Use the figure.

Which term describes $\angle 1$ and $\angle 2$?

Use the figure below to answer the following question(s).Which of the following statements gives enough additional information about the figure above to prove that $\triangle ABC$ is similar to $\triangle EDC$?

In the diagram below, line $l$ is parallel to line $m$, and line $k$ intersects both lines.Based on the angle measure in the diagram, what is the value of $x$?

Which figure contains two congruent triangles?A.QuadrilateralB.TrapezoidC.ParallelogramD.Triangle

Circle $J$ is inscribed in isosceles trapezoid $ABCD$, as shown below.Points $E$, $F$, $G$, and $H$ are points of tangency. The length of $\overline{AB}$ is 10 cm. The length of $\overline{DC}$ is 20 cm. What is the length, in cm, of $\overline{BC}$?

Which of the following best describes what $\angle SVT$ and $\angle ZVU$ have in common?

Given $\overline{RS} \parallel \overline{TU}$, $m\angle 7 = 3x - 10$, and $m\angle 3 = (2x + 5)$What is $m\angle 1$?

Simplify: $(x + 2)(x^2 + 2x + 3)$

Which theorem can be used to prove that the triangles in the figure below are congruent?

In the accompanying diagram of right triangle $ABC$, $AB = 4$ and $BC = 7$. What is the length of $AC$ to the nearest hundredth?

Find the measure in degrees, of the smallest angle in this triangle.

What is 120 degrees in radians?

What is the value of $x$, in inches?

Rocky’s Tunnel Company makes tunnels for playgrounds. Each tunnel has a circular opening with a diameter of 36 in. Which diagram shows a tunnel opening with a diameter of 36 in.?

Which diagram shows the letter F transformed by only a slide?

In the figure below, $\overline{PR}$ and $\overline{SR}$ are tangent to circle $O$.If $OT = 11 \text{ cm}$ and $PR = 60 \text{ cm}$, what is the length of $\overline{OR}$?

Which theorem of congruence should be used to prove $\triangle QRS \cong \triangle TUV$?

A flagpole casts a shadow 27 feet long. Larry is 6 feet tall and casts a 5-foot shadow.Note: The figure is not drawn to scale.How tall is the flagpole? Round the answer to the nearest foot.

This diagram represents a tower. The tower is in the shape of a cone on top of a cylinder.Which measurement is closest to the total volume of the tower?

Which of the following is equivalent to the expression below?$(3x + 6y) + (2x - y)$

What is the distance between $(4, 7)$ and $(-3, 9)$ on a coordinate grid?

In the diagram below, hexagon $LMNPQR$ is congruent to hexagon $STUVWX$.Which side is the same length as $\overline{MN}$?

Which polynomial represents $(3x^{2} + x - 4)(2x - 5)$?

Which parts must be congruent to prove $\triangle PQR \cong \triangle PSR$ by SAS?

Mr. Lui wants to build a bridge across the creek that runs through his property. He made measurements and drew the map shown below.Based on this map, what is the distance across the creek at the place where Mr. Lui wants to put the bridge?

The right circular cylinder represented below has a base radius of 3 centimeters and a height of 12 centimeters.What is the volume of the right circular cylinder in cubic centimeters?

What is the approximate volume of the cone below?

Triangle $ABC$ is shown below.What is the cosine of angle $B$?

Use the diagram to answer the question.Note: Not to scaleDiana looks up at an angle of $57^\circ$ and sees a hot air balloon 150 meters away. To the nearest meter, what is the value of $x$, the height of the hot air balloon above Diana’s head?

Given: $\overline{AB}$ and $\overline{CD}$ intersect at point $E$;$\angle 1 \cong \angle 2$Which theorem or postulate can be used to prove $\triangle AED \sim \triangle BEC$?

In circle $P$, which of the following create a secant?

Tawana is flying her kite, which is at the end of a 100-ft string. The angle the string makes with the ground is $50^\circ$.Which equation below can be used to find the height, $x$, of the kite above the ground?

What is the volume of the rectangular pyramid?

Points A, B, and C are on circle P.What is the $m\widehat{ACB}$?

$\overline{UV}$ is parallel to $\overline{WX}$. Which proportion is not true? Use the figure.

Which term describes $\angle 1$ and $\angle 2$?

Use the figure below to answer the following question(s).Which of the following statements gives enough additional information about the figure above to prove that $\triangle ABC$ is similar to $\triangle EDC$?

In the diagram below, line $l$ is parallel to line $m$, and line $k$ intersects both lines.Based on the angle measure in the diagram, what is the value of $x$?

Which figure contains two congruent triangles?A.QuadrilateralB.TrapezoidC.ParallelogramD.Triangle

Circle $J$ is inscribed in isosceles trapezoid $ABCD$, as shown below.Points $E$, $F$, $G$, and $H$ are points of tangency. The length of $\overline{AB}$ is 10 cm. The length of $\overline{DC}$ is 20 cm. What is the length, in cm, of $\overline{BC}$?

Which of the following best describes what $\angle SVT$ and $\angle ZVU$ have in common?

Given $\overline{RS} \parallel \overline{TU}$, $m\angle 7 = 3x - 10$, and $m\angle 3 = (2x + 5)$What is $m\angle 1$?

Simplify: $(x + 2)(x^2 + 2x + 3)$

Which theorem can be used to prove that the triangles in the figure below are congruent?

In the accompanying diagram of right triangle $ABC$, $AB = 4$ and $BC = 7$. What is the length of $AC$ to the nearest hundredth?

Find the measure in degrees, of the smallest angle in this triangle.

What is 120 degrees in radians?

In the figure below, $\overline{PR}$ and $\overline{SR}$ are tangent to circle $O$.
If $OT = 11 \text{ cm}$ and $PR = 60 \text{ cm}$, what is the length of $\overline{OR}$?

A flagpole casts a shadow 27 feet long. Larry is 6 feet tall and casts a 5-foot shadow.
Note: The figure is not drawn to scale.
How tall is the flagpole? Round the answer to the nearest foot.

This diagram represents a tower. The tower is in the shape of a cone on top of a cylinder.
Which measurement is closest to the total volume of the tower?

Which of the following is equivalent to the expression below?
$(3x + 6y) + (2x - y)$

In the diagram below, hexagon $LMNPQR$ is congruent to hexagon $STUVWX$.
Which side is the same length as $\overline{MN}$?

Mr. Lui wants to build a bridge across the creek that runs through his property. He made measurements and drew the map shown below.
Based on this map, what is the distance across the creek at the place where Mr. Lui wants to put the bridge?

The right circular cylinder represented below has a base radius of 3 centimeters and a height of 12 centimeters.
What is the volume of the right circular cylinder in cubic centimeters?

Triangle $ABC$ is shown below.
What is the cosine of angle $B$?

Use the diagram to answer the question.
Note: Not to scale
Diana looks up at an angle of $57^\circ$ and sees a hot air balloon 150 meters away. To the nearest meter, what is the value of $x$, the height of the hot air balloon above Diana’s head?

Given: $\overline{AB}$ and $\overline{CD}$ intersect at point $E$;
$\angle 1 \cong \angle 2$
Which theorem or postulate can be used to prove $\triangle AED \sim \triangle BEC$?

Tawana is flying her kite, which is at the end of a 100-ft string. The angle the string makes with the ground is $50^\circ$.
Which equation below can be used to find the height, $x$, of the kite above the ground?

Points A, B, and C are on circle P.
What is the $m\widehat{ACB}$?

Use the figure below to answer the following question(s).
Which of the following statements gives enough additional information about the figure above to prove that $\triangle ABC$ is similar to $\triangle EDC$?

In the diagram below, line $l$ is parallel to line $m$, and line $k$ intersects both lines.
Based on the angle measure in the diagram, what is the value of $x$?

Which figure contains two congruent triangles?
A.
Quadrilateral
B.
Trapezoid
C.
Parallelogram
D.
Triangle

Circle $J$ is inscribed in isosceles trapezoid $ABCD$, as shown below.
Points $E$, $F$, $G$, and $H$ are points of tangency. The length of $\overline{AB}$ is 10 cm. The length of $\overline{DC}$ is 20 cm. What is the length, in cm, of $\overline{BC}$?

Given $\overline{RS} \parallel \overline{TU}$, $m\angle 7 = 3x - 10$, and $m\angle 3 = (2x + 5)$
What is $m\angle 1$?

In the figure below, $\overline{PR}$ and $\overline{SR}$ are tangent to circle $O$.
If $OT = 11 \text{ cm}$ and $PR = 60 \text{ cm}$, what is the length of $\overline{OR}$?

A flagpole casts a shadow 27 feet long. Larry is 6 feet tall and casts a 5-foot shadow.
Note: The figure is not drawn to scale.
How tall is the flagpole? Round the answer to the nearest foot.

This diagram represents a tower. The tower is in the shape of a cone on top of a cylinder.
Which measurement is closest to the total volume of the tower?

Which of the following is equivalent to the expression below?
$(3x + 6y) + (2x - y)$

In the diagram below, hexagon $LMNPQR$ is congruent to hexagon $STUVWX$.
Which side is the same length as $\overline{MN}$?

Mr. Lui wants to build a bridge across the creek that runs through his property. He made measurements and drew the map shown below.
Based on this map, what is the distance across the creek at the place where Mr. Lui wants to put the bridge?

The right circular cylinder represented below has a base radius of 3 centimeters and a height of 12 centimeters.
What is the volume of the right circular cylinder in cubic centimeters?

Triangle $ABC$ is shown below.
What is the cosine of angle $B$?

Use the diagram to answer the question.
Note: Not to scale
Diana looks up at an angle of $57^\circ$ and sees a hot air balloon 150 meters away. To the nearest meter, what is the value of $x$, the height of the hot air balloon above Diana’s head?

Given: $\overline{AB}$ and $\overline{CD}$ intersect at point $E$;
$\angle 1 \cong \angle 2$
Which theorem or postulate can be used to prove $\triangle AED \sim \triangle BEC$?

Tawana is flying her kite, which is at the end of a 100-ft string. The angle the string makes with the ground is $50^\circ$.
Which equation below can be used to find the height, $x$, of the kite above the ground?

Points A, B, and C are on circle P.
What is the $m\widehat{ACB}$?

Use the figure below to answer the following question(s).
Which of the following statements gives enough additional information about the figure above to prove that $\triangle ABC$ is similar to $\triangle EDC$?

In the diagram below, line $l$ is parallel to line $m$, and line $k$ intersects both lines.
Based on the angle measure in the diagram, what is the value of $x$?

Which figure contains two congruent triangles?
A.
Quadrilateral
B.
Trapezoid
C.
Parallelogram
D.
Triangle

Circle $J$ is inscribed in isosceles trapezoid $ABCD$, as shown below.
Points $E$, $F$, $G$, and $H$ are points of tangency. The length of $\overline{AB}$ is 10 cm. The length of $\overline{DC}$ is 20 cm. What is the length, in cm, of $\overline{BC}$?

Given $\overline{RS} \parallel \overline{TU}$, $m\angle 7 = 3x - 10$, and $m\angle 3 = (2x + 5)$
What is $m\angle 1$?