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Pre-AP Geometry Fall Final Review

Total questions: 18

Worksheet time: 40mins

Name
Class
Date
1.

The statements below are true about the three types of inhabitants, X, Y, and Z, of a fictional planet named Mathos.

 All Xs are Ys.

 All Zs are Xs.

Based on this information, which statement must be true?

a)

All Ys are Xs.

b)

All Zs are Ys.

c)

All Xs are Zs.

d)

All Ys are Zs.

2.

What additional information is needed to prove the two triangles congruent by ASA?

a)

RS ≃ VS

b)

∠RTS ≃ ∠VUS

c)

∠TSR ≅ ∠USV

d)

TS ≃ US

3.

Simplify: 4√12 + 2√27

a)

14√3

b)

None of these options

c)

14√6

d)

6√29

4.

Find the value of a.°

a)

58°

b)

67°

c)

125°

d)

90°

5.

When your cable goes out, you get bored. When you get bored, you take up new hobbies. When you take up new hobbies, you wrestle under the name The Leaping Luchador. You do not wrestle under the name The Leaping Luchador. What conclusion can you make for certain?

a)

You were bored.

b)

You took up new hobbies.

c)

You are going to need a lot of spandex.

d)

Your cable did not go out.

6.

What is the value of the exterior angle?°

a)

16°

b)

70°

c)

25°

d)

45°

7.

Which of the following is an example of using deductive reasoning to find a true statement?

a)

Cats have claws. Ralph has claws. Ralph is a cat.

b)

Every time you throw a ball up, it comes down. You know the ball you just threw will come down.

c)

You use the rule Mr. Kelley gave you for deductive reasoning to answer this question.

d)

Stegosauruses eat plants. Abby is eating a salad. Abby is a stegosaurus.

8.

Which statement is true?

a)

PQ, QR, and PR are congruent

b)

The longest side of ∆PQR is QR

c)

The longest side of ∆PQR is QP

d)

The shortest side of ∆PQR is PR

9.

Which is the longest segment?

a)

LR

b)

CL

c)

AR

d)

LO

10.

In which group of statements is the conclusion not justified by the previous pair of statements?

a)

All cooks work in the kitchen. Mary is a cook. Mary works in the kitchen.

b)

All dinosaurs are extinct. A triceratops is a dinosaur. All triceratops are extinct.

c)

All squares are rectangles. All rectangles are parallelograms. All squares are parallelograms.

d)

All fish live in the water. Some snakes live in the water. Some snakes are fish.

11.

Make a conclusion based on the Hinge Theorem or its converse. In ∆ABC and ∆DEF, AB⋍DE, BC⋍EF, m∠E=47°, m∠B=45°.

a)

AC≻DF

b)

AC≺DF

12.

Points J, K, and L are the vertices of a triangle. Classify the triangle by its sides.

a)

Scalene

b)

Right

c)

Isosceles

d)

Acute

13.

If a triangle has angles with a ratio of 1:2:3, what is the measure of the largest angle?

a)

45°

b)

60°

c)

90°

d)

115°

14.
a)

y=-6x-2

b)

y=-4x-2

c)

y=1/4x-2

d)

y=1/6x-2

15.

Paul drew a triangle on a map of Texas. He used Houston (H), San Antonio (S), and Dallas (D) as vertices. If the angle formed by segments HS and SD is the largest angle of the triangle, which distance is greatest?

a)

Houston to San Antonio

b)

San Antonio to Dallas

c)

Dallas to Houston

d)

All of the distances are the same

16.

Write the contrapositive of the following conditional.

If it is December, then finals are almost here.

a)

If finals are almost here, then it is December

b)

If it is not December, then finals are not almost here.

c)

If finals are not almost here, then it is not December.

d)

It is December if and only if finals are almost here.

17.

Which of these measures could represent sides of a triangle?

a)

3, 6, 10

b)

2.5, 10.25, 15.25

c)

7, 8, 15

d)

12.2, 13.7, 20.1

18.

One leg of an isosceles triangle has a length of 13 cm. The base of the triangle must be greater than

___, but less than ___.

a)

0, 26

b)

13, 26

c)

0, 13

d)

1, 13