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Laabri

Trimester II Exam 2526 - Review Problem Set

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Last updated 3 months ago
119 Nsɛmmisa
Similar Polygons
1
1
1
1
1
1
1
1
1
Proving Triangles Similar (Part 1)
1
1
1
1
1
1
1
Triangle Similarity / CSSSTP Proofs (Part 2)
1
1
Side-Splitter Theorem
1
1
1
1
1
1
Geometric Mean Proportions in a Right Triangle
1
1
1
1
Pythagorean Theorem
1
1
1
1
1
1
1
1
1
1
1
1
1
Special Right Triangles 30-60
1
1
1
1
1
1
1
Special Right Triangles 45-45 (Isosceles Right Triangle)
1
1
1
1
1
1
Write Basic Trignonmetric Ratios Part 1 Type problem
1
1
1
Trigonometry: Find missing sides and angles of right triangles Part 1 type problem
1
1
1
1
1
1
1
1
1
1
1
1
Angle of Elevation and Depression Problems Part 1 style
1
1
1
1
1
1
1
1
1
Angle of Elevation/Depression Part 2 Type Problem
1
1
1
1
Law of Sines - Find Missing Side (Part 2)
1
1
1
Law of Sines Find Missing Angle (Part 2)
1
1
1
Law of Cosines - Find Missing Side (Part 2)
1
1
1
Properties of Parallelogram
1
Properties of Paralleograms - Find Missing Side/Segement/Angles
1
1
1
1
1
1
Algebra Applications with Properties of Parallelograms
1
1
1
1
1
1
1
1
1
1
Using Coordinate Geometry to Prove a Quadrilateral is a Parallelogram (Part 2)
1
1
1
1
Using Parallelogram Properties to Prove Triangles Congruent
1
1
1
Putting it all together Problems (Part 2 Problems)
1
1
1
1

Ideas on How to Prepare for the Honors Geometry 2526 Trimester 2 Exam

  1. Look over the Review Sheet for test breakdown and Test Topics.

  2. Look over/review/study Class notes, problem sets, homeworks, quizzes, and tests. (in this formative I have linked our class notes/problem sets to each section of this review problem set)

  3. Use this review packet as extra review once you have gone over your class notes/homework/quizzes/tests.

Asemmisa {{asɛmmisaAhyɛnsode}}
1.

Hexagon

Hexagon

Asemmisa {{asɛmmisaAhyɛnsode}}
2.

Quadrilateral

Quadrilateral

Find the scale factor.

(Write scale factor as a ratio expressed as a fraction.)

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3.

Quadrilateral

Quadrilateral
.

a) What is the scale factor? (Express ratio as a fraction)

b)

c) m

=

d) Perimeter of

Asemmisa {{asɛmmisaAhyɛnsode}}
4.

Quadrilateral

Quadrilateral
.

a) What is the scale factor? (Express ratio as a fraction)

b)

c)

c)

=

Note: Figures may not be drawn to scale.

Asemmisa {{asɛmmisaAhyɛnsode}}
5.

If

, then

Mmuae Afoforo a Wobɛpaw:

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6.

The sides of a triangle are 4, 8 and 10. Find the length of the shortest side of a similar triangle whose longest side is 15.

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7.

A triangle has sides of 8, 15, and 17. A similar triangle could have sides with lengths of

Asemmisa {{asɛmmisaAhyɛnsode}}
8.

A triangle has sides with lengths 6, 8 and 11 inches. A second triangle has sides with lengths 18, 16, and 22 inches. Are these triangles similar?

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9.

.

Perimeter of ROTFL is 52

a)

b)

c) Perimeter of

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10.

At a certain time of day, the shadow of a 6' teenager is 8' long. The shadow of a nearby tree at this same time is 20' long. How tall is the tree?

Height of tree =

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11.

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12.

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13.

Determine whether the triangles are similar.

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14.

Determine whether the triangles are similar.

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15.

Determine whether the triangles are similar.

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16.

Determine whether the triangles are similar.

Asemmisa {{asɛmmisaAhyɛnsode}}
17.

Write a 2 Column Proof

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18.

Write a two column formula proof

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19.

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20.

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21.

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22.

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23.

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24.

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25.

Write answers in simplest radical form.

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26.

Write answers in simplest radical form.

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27.

Write answers in simplest radical form.

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28.

Write answers in simplest radical form.

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29.

Find the length of the hypotenuse of a right triangle with legs of 5 and 12.

Length of hypotenuse =

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30.

Find the length of the hypotenuse of a right triangle with legs of 3 and 9.

Length of hypotenuse =

Write answer in simplest radical form.

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31.

Find the length of the hypotenuse of a right triangle with legs of 13 and 84.

Length of hypotenuse =

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32.

Find the length of the hypotenuse of a right triangle with legs of 2 and 6.

Length of hypotenuse =

Write answer in simplest radical form.

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33.

A right triangle has a hypotenuse of 61 and a leg of 11. Find the length of the other leg.

Length of "other" leg =

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34.

A right triangle has a hypotenuse of 14 and a leg of 6. Find the length of the other leg.

Length of "other" leg =

Write answer in simplest radical form

Asemmisa {{asɛmmisaAhyɛnsode}}
35.

A right triangle has a hypotenuse of 18 and a leg of 7. Find the length of the other leg.

Length of "other" leg =

Write answer in simplest radical form

Asemmisa {{asɛmmisaAhyɛnsode}}
36.

A right triangle has a hypotenuse of 29 and a leg of 21. Find the length of the other leg.

Length of "other" leg =

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37.

The length of the hypotenuse of a right triangle is 25 and the length of one of its legs is 24. Find the perimeter of the triangle.

Perimeter of triangle =

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38.

In Rectangle ABCD,

and
. Find the perimeter of ABCD.

Perimeter of ABCD =

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39.

The perimeter of a square is 16. Find the length of one of its diagonals.

Diagonal length =

Answer in simplest radical form.

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40.

A triangle with side lengths of 4.5, 6, and 7.5 must be a right triangle .

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41.

A triangle with side lengths of 7, 9, and 15 must be a right triangle .

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42.

Write answer in simplest radical form.

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43.

Write answer in simplest radical form.

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44.

Write answer in simplest radical form.

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45.

Write answer in simplest radical form.

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46.

Write answer in simplest radical form.

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47.

Write answer in simplest radical form.

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48.

Write answer in simplest radical form.

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49.

Write answer in simplest radical form.

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50.

Write answer in simplest radical form.

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51.

Write answer in simplest radical form.

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52.

Write answer in simplest radical form.

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53.

Write answer in simplest radical form.

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54.

Write answer in simplest radical form.

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55.

Mmuae Afoforo a Wobɛpaw:

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56.

Mmuae Afoforo a Wobɛpaw:

Asemmisa {{asɛmmisaAhyɛnsode}}
57.

Mmuae Afoforo a Wobɛpaw:

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58.

Round answer to nearest hundredth

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59.

Round answer to nearest hundredth

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60.

Round answer to nearest hundredth

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61.

Round answer to nearest hundredth

Asemmisa {{asɛmmisaAhyɛnsode}}
62.

Round answer to nearest hundredth

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63.

Round answer to nearest hundredth

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64.

m

Round to the nearest degree.

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65.

m

Round to the nearest degree.

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66.

m

Round to the nearest degree.

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67.

m

Round to the nearest degree.

Asemmisa {{asɛmmisaAhyɛnsode}}
68.

m

Round to the nearest degree.

Asemmisa {{asɛmmisaAhyɛnsode}}
69.

m

Round to the nearest degree.

Asemmisa {{asɛmmisaAhyɛnsode}}
70.

ft.

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71.

A 20 - foot support post leans against a wall, making a

angle with the ground. To the nearest tenth of a foot, how far up the wall will the support post reach?

ft.

Asemmisa {{asɛmmisaAhyɛnsode}}
72.

Height of kite = ft

(Round to the nearest foot)

Asemmisa {{asɛmmisaAhyɛnsode}}
73.

A person measures the angle of depression from the top of a wall to a point on the ground. The point is located on level ground 62 feet from the base of the wall and the angle of depression is

. How high is the wall, to the nearest tenth of a foot?

ft.

Asemmisa {{asɛmmisaAhyɛnsode}}
74.

A ship on the ocean surface detects a sunken ship on the ocean floor at an angle of depression of

. The distance between the ship on the surface and the sunken ship on the ocean floor is 200 meters. If the ocean floor is level in this area, how far above the ocean floor, to the nearest meter, is the ship on the surface?

meters

Asemmisa {{asɛmmisaAhyɛnsode}}
75.

A tree casts a shadow that is 20 feet long. The angle of elevation from the end of the shadow to the top of the tree is

. Determine the height of the tree, to the nearest foot?

ft.

Asemmisa {{asɛmmisaAhyɛnsode}}
76.

A man standing on level ground is 1000 feet away from the base of a 350-foot-tall building. find to the nearest degree, the measure of the angle of elevation to the top of the building from the point on the ground where the man is standing.

Asemmisa {{asɛmmisaAhyɛnsode}}
77.

If a tree 28 meters tall casts a shadow 32 meters long, what is the angle of elevation of the Sun to the nearest degree?

Asemmisa {{asɛmmisaAhyɛnsode}}
78.

A man who is 5 feet 9 inches tall casts a shadow of 8 feet 6 inches. Assuming that the man is standing perpendicular to the ground, what is the angle of elevation from the end of the shadow to the top of the man’s head, to the nearest tenth of a degree?

Asemmisa {{asɛmmisaAhyɛnsode}}
79.

A lifeguard is standing on top of lifeguard stand that is on the level shoreline. He spots a distressed swimmer floating face down on the surface of water at an angle depression of

. If the lifeguard stand is 8 feet tall and the lifeguard's eyes are 5 feet above the lifeguard stand, determine to the nearest foot, how far is the distressed swimmer from the shoreline.

ft.

Asemmisa {{asɛmmisaAhyɛnsode}}
80.

From her eye, which stands 1.52 meters above the ground, Julia measures the angle of elevation to the top of a prominent skyscraper to be

. If she is standing at a horizontal distance of 340 meters from the base of the skyscraper, what is the height of the skyscraper? Round your answer to the nearest hundredth of a meter if necessary.

meters

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81.

Matthew is flying a kite, holding his hands a distance of 4 feet above the ground and letting all the kite’s string play out. He measures the angle of elevation from his hand to the kite to be

. If the string from the kite to his hand is 90 feet long, how many feet is the kite above the ground? Round your answer to the nearest tenth of a foot if necessary.

ft.

Asemmisa {{asɛmmisaAhyɛnsode}}
82.

To determine the height of a tree, loggers will measure the angle of elevation to the top of the tree from a set distance from its base. If a logger’s eyes are 5 feet above the ground and the angle of elevation to the top of the tree is 38

when standing 35 feet from its base, determine the height of the tree to the nearest foot. (Draw a pretty picture in the show your work area that models the problem)

Height of tree = ft.

Asemmisa {{asɛmmisaAhyɛnsode}}
83.

Round to the nearest tenth.

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84.

Round to the nearest tenth.

Asemmisa {{asɛmmisaAhyɛnsode}}
85.

Round to the nearest tenth.

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86.

m

Round to the nearest tenth of a degree

Asemmisa {{asɛmmisaAhyɛnsode}}
87.

m

Round to the nearest tenth of a degree

Asemmisa {{asɛmmisaAhyɛnsode}}
88.

m

Round to the nearest tenth of a degree

Asemmisa {{asɛmmisaAhyɛnsode}}
89.

Round to nearest tenth.

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90.

Round to nearest tenth.

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91.

Round to nearest tenth.

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92.

QRST is a parallelogram. Which of the following statements are (ALWAYS) TRUE?

  • supp.

  • supp.

  • supp.

  • supp.

  • supp.

  • True Statement

Asemmisa {{asɛmmisaAhyɛnsode}}
93.

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94.

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95.

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96.

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97.

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98.

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99.

Given the attached parallelogram. Find the value of x.

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100.

Given the attached parallelogram. Find the value of x.

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101.

Given the attached parallelogram. Find the value of x.

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102.

Given the attached parallelogram. Find the value of x.

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103.

Given the attached parallelogram. Find the value of x.

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104.

Find the measurement indicated in each parallelogram.

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105.

Find the measurement indicated in each parallelogram.

m

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106.

Find the measurement indicated in each parallelogram.

m

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107.

Given Parallelogram MORK, find the values of:

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108.

Given the attached parallelogram, find the values of:

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109.

Using Coordinate Geometry, prove that quadrilateral RSTU with vertices

and
[Use of axes is optional.]

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110.

Given quadrilateral ABCD has vertices at

and
Prove using coordinate geometry that ABCD is a parallelogram.

[Use of axes is optional]

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111.

Given quadrilateral ABCD has vertices at

and
Prove using coordinate geometry that ABCD is a parallelogram.

[Use of axes is optional]

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112.

Quadrilateral

has vertices
,
and
Prove quadrilateral
is a parallelogram. [Use of the axes is optional]

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113.

Write a 2 column formal proof.

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114.

Write a 2 column formal proof

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115.

Write a 2 column formal proof.

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116.

Given: Right Triangle ACD.

. m
; m
; m
;
;
;

Find:

A)

B) m

C) m

D) m

E)

F)

Round answers to the nearest tenth

Asemmisa {{asɛmmisaAhyɛnsode}}
117.

Given:

m

Find:

A)

B) m

C)

D) m

E) m

Round answers to nearest tenth.

Asemmisa {{asɛmmisaAhyɛnsode}}
118.

Given: Right Triangle ACD.

. m
; m
;
;
;

Find:

A) m

B) m

C)

D) m

E)

F) m

Round answers to the nearest tenth

Asemmisa {{asɛmmisaAhyɛnsode}}
119.

Given:

m

Find:

A)

B) m

C) m

D)

Round answers to nearest tenth.