NAFCS Q3 Geometry Benchmark 24-25 (11/21/2024)

Last updated over 1 year ago

18 questions

Required

G.T.9

Required

G.T.9

Required

G.T.9

Required

G.T.9

Required

G.T.9

Required

G.T.9

Required

G.T.9

Required

G.T.9

Required

G.T.9

Required

G.T.9

Required

G.QP.1

Required

G.QP.1

Required

G.QP.1

Required

G.QP.5

Required

G.QP.5

Required

G.QP.5

Required

G.QP.5

Required

G.QP.5

NAFCS Q3 Geometry Benchmark 24-25 (11/21/2024)

Last updated over 1 year ago

18 questions

Required

What is the value of x in simplest radical form?

x = ________________ (Simplify your answer. Type an exact answer, using radicals as needed.)

G.T.9

Required

What is the value of x in simplest radical form?

x = _______________ (Simplify your answer. Type an exact answer, using radicals as needed.)

G.T.9

Required

A 25-foot ladder is placed against a vertical wall of a building, with the bottom of the ladder standing on level ground 21 feet from the base of the building. How high up the wall does the ladder reach?
The ladder reaches _______ feet up the wall. (Round to the nearest hundredth.)

G.T.9

Required

Does the set of numbers form a Pythagorean triple? Explain.
8, 6, 9

G.T.9

Required

The lengths of the sides of a triangle are 7, 24, and 25. Classify the triangle as acute, right, or obtuse.

G.T.9

Required

Write the ratio for tan A.
tan A = ___________ (Type an integer or a simplified fraction.)

G.T.9

Required

Write the ratio for cos B.
cos B = __________ (Type an integer or a simplified fraction.)

G.T.9

Required

Find the measure of side a.
a = ____________ m (Round the answer to the nearest whole number.)

G.T.9

Required

Find the value of x..
x =__________ (Do not include the degree symbol in your answer. Round to the nearest degree as needed.)

G.T.9

Required

A helicopter hovers 950 feet above a small island. The figure shows that the angle of depression from the helicopter to point P is 36° How far off the coast, to the nearest foot, is the island?
d = ____________ ft (Round the answer to the nearest whole number.)

G.T.9

Required

Find the value of a in the parallelogram.

a = ___________________ (Simplify your answer.)

G.QP.1

Required

For what value of x is the given parallelogram a rhombus?

The given parallelogram is a rhombus when x = ____________.

G.QP.1

Required

LMNP is a rectangle. Find the value of x and the length of each diagonal.
LN = 4x + 4 and MP = 9x − 6

x = _______ 
LN = _______ 
MP = _______ 

G.QP.1

Required

Find the area of the triangle.

Area = ______ m2 (Simplify your answer.)

G.QP.5

Required

Find the area of parallelogram ADKF.

The area is ________________ square units. (Simplify your answer.)

G.QP.5

Required

Find the area of the trapezoid.

________ m2. (Simplify your answer.)

G.QP.5

Required

Find the area of the kite.

Area = ________ m2. (Simplify your answer.)

G.QP.5

Required

The gazebo in the photo is built in the shape of a regular octagon. Each side is 11ft long, and the enclosed area is 585.2 ft2. What is the length of the apothem?

The length of the apothem is _____________ ft.

G.QP.5

NAFCS Q3 Geometry Benchmark 24-25 (11/21/2024)

NAFCS Q3 Geometry Benchmark 24-25 (11/21/2024)

What is the value of x in simplest radical form?x = ________________ (Simplify your answer. Type an exact answer, using radicals as needed.)

What is the value of x in simplest radical form?x = _______________ (Simplify your answer. Type an exact answer, using radicals as needed.)

Does the set of numbers form a Pythagorean triple? Explain.8, 6, 9

The lengths of the sides of a triangle are 7, 24, and 25. Classify the triangle as acute, right, or obtuse.

Write the ratio for tan A.tan A = ___________ (Type an integer or a simplified fraction.)

Write the ratio for cos B.cos B = __________ (Type an integer or a simplified fraction.)

Find the measure of side a.a = ____________ m (Round the answer to the nearest whole number.)

Find the value of x..x =__________ (Do not include the degree symbol in your answer. Round to the nearest degree as needed.)

A helicopter hovers 950 feet above a small island. The figure shows that the angle of depression from the helicopter to point P is 36° How far off the coast, to the nearest foot, is the island?d = ____________ ft (Round the answer to the nearest whole number.)

Find the value of a in the parallelogram.a = ___________________ (Simplify your answer.)

For what value of x is the given parallelogram a rhombus?The given parallelogram is a rhombus when x = ____________.

Find the area of the triangle.Area = ______ m2 (Simplify your answer.)

Find the area of parallelogram ADKF.The area is ________________ square units. (Simplify your answer.)

Find the area of the trapezoid.________ m2. (Simplify your answer.)

Find the area of the kite.Area = ________ m2. (Simplify your answer.)

The gazebo in the photo is built in the shape of a regular octagon. Each side is 11ft long, and the enclosed area is 585.2 ft2. What is the length of the apothem?The length of the apothem is _____________ ft.

What is the value of x in simplest radical form?x = ________________ (Simplify your answer. Type an exact answer, using radicals as needed.)

What is the value of x in simplest radical form?x = _______________ (Simplify your answer. Type an exact answer, using radicals as needed.)

Does the set of numbers form a Pythagorean triple? Explain.8, 6, 9

The lengths of the sides of a triangle are 7, 24, and 25. Classify the triangle as acute, right, or obtuse.

Write the ratio for tan A.tan A = ___________ (Type an integer or a simplified fraction.)

Write the ratio for cos B.cos B = __________ (Type an integer or a simplified fraction.)

Find the measure of side a.a = ____________ m (Round the answer to the nearest whole number.)

Find the value of x..x =__________ (Do not include the degree symbol in your answer. Round to the nearest degree as needed.)

A helicopter hovers 950 feet above a small island. The figure shows that the angle of depression from the helicopter to point P is 36° How far off the coast, to the nearest foot, is the island?d = ____________ ft (Round the answer to the nearest whole number.)

Find the value of a in the parallelogram.a = ___________________ (Simplify your answer.)

For what value of x is the given parallelogram a rhombus?The given parallelogram is a rhombus when x = ____________.

Find the area of the triangle.Area = ______ m2 (Simplify your answer.)

Find the area of parallelogram ADKF.The area is ________________ square units. (Simplify your answer.)

Find the area of the trapezoid.________ m2. (Simplify your answer.)

Find the area of the kite.Area = ________ m2. (Simplify your answer.)

The gazebo in the photo is built in the shape of a regular octagon. Each side is 11ft long, and the enclosed area is 585.2 ft2. What is the length of the apothem?The length of the apothem is _____________ ft.

What is the value of x in simplest radical form?

x = ________________ (Simplify your answer. Type an exact answer, using radicals as needed.)

What is the value of x in simplest radical form?

x = _______________ (Simplify your answer. Type an exact answer, using radicals as needed.)

Does the set of numbers form a Pythagorean triple? Explain.
8, 6, 9

Write the ratio for tan A.
tan A = ___________ (Type an integer or a simplified fraction.)

Write the ratio for cos B.
cos B = __________ (Type an integer or a simplified fraction.)

Find the measure of side a.
a = ____________ m (Round the answer to the nearest whole number.)

Find the value of x..
x =__________ (Do not include the degree symbol in your answer. Round to the nearest degree as needed.)

A helicopter hovers 950 feet above a small island. The figure shows that the angle of depression from the helicopter to point P is 36° How far off the coast, to the nearest foot, is the island?
d = ____________ ft (Round the answer to the nearest whole number.)

Find the value of a in the parallelogram.

a = ___________________ (Simplify your answer.)

For what value of x is the given parallelogram a rhombus?

The given parallelogram is a rhombus when x = ____________.

Find the area of the triangle.

Area = ______ m2 (Simplify your answer.)

Find the area of parallelogram ADKF.

The area is ________________ square units. (Simplify your answer.)

Find the area of the trapezoid.

________ m2. (Simplify your answer.)

Find the area of the kite.

Area = ________ m2. (Simplify your answer.)

The gazebo in the photo is built in the shape of a regular octagon. Each side is 11ft long, and the enclosed area is 585.2 ft2. What is the length of the apothem?

The length of the apothem is _____________ ft.

What is the value of x in simplest radical form?

x = ________________ (Simplify your answer. Type an exact answer, using radicals as needed.)

What is the value of x in simplest radical form?

x = _______________ (Simplify your answer. Type an exact answer, using radicals as needed.)

Does the set of numbers form a Pythagorean triple? Explain.
8, 6, 9

Write the ratio for tan A.
tan A = ___________ (Type an integer or a simplified fraction.)

Write the ratio for cos B.
cos B = __________ (Type an integer or a simplified fraction.)

Find the measure of side a.
a = ____________ m (Round the answer to the nearest whole number.)

Find the value of x..
x =__________ (Do not include the degree symbol in your answer. Round to the nearest degree as needed.)

A helicopter hovers 950 feet above a small island. The figure shows that the angle of depression from the helicopter to point P is 36° How far off the coast, to the nearest foot, is the island?
d = ____________ ft (Round the answer to the nearest whole number.)

Find the value of a in the parallelogram.

a = ___________________ (Simplify your answer.)

For what value of x is the given parallelogram a rhombus?

The given parallelogram is a rhombus when x = ____________.

Find the area of the triangle.

Area = ______ m2 (Simplify your answer.)

Find the area of parallelogram ADKF.

The area is ________________ square units. (Simplify your answer.)

Find the area of the trapezoid.

________ m2. (Simplify your answer.)

Find the area of the kite.

Area = ________ m2. (Simplify your answer.)

The gazebo in the photo is built in the shape of a regular octagon. Each side is 11ft long, and the enclosed area is 585.2 ft2. What is the length of the apothem?

The length of the apothem is _____________ ft.