Question 1

Find the sum of the measures of the angles of the figure.

Accepted Answer

360

Answer

1080

Answer

540

Answer

720

Question 2

The sum of the measures of two exterior angles of a triangle is 254. What is the measure of the third exterior angle?

Accepted Answer

106

Answer

116

Answer

74

Answer

96

Question 3

Find the missing values of the variables. The diagram is not to scale.

Accepted Answer

x = 116, y = 123

Answer

x = 58, y = 106

Answer

x = 58, y = 116

Question 4

Which three lengths CANNOT be the lengths of the sides of a triangle?

Accepted Answer

21 m, 5 m, 11 m

Answer

7 m, 8 m, 11 m

Answer

22 m, 15 m, 13 m

Answer

10 m, 14 m, 11 m

Question 5

Find the values of the variables in the parallelogram. The diagram is not to scale

Accepted Answer

x=29, y=38, z=113

Answer

x=38, y = 29, z = 113

Answer

x=38, y=38, z=142

Question 6

Two sides of a triangle have lengths 5 and 12. Which expression describes the length of the third side?

Accepted Answer

greater than 7 and less than 17

Answer

at least 7 and at most 17

Answer

greater than 7 and at most 17

Answer

at least 7 and less than 17

Question 7

Which of the following must be true? The diagram is not to scale.

Accepted Answer

AC > FH

Answer

AC = FH

Answer

BC < FH

Answer

AB < BC

Question 8

The measures of the exterior angles of some different polygons are recorded in the table below. What is the sum of the measures of the exterior angles of a dodecahedron?

Accepted Answer

360

Answer

720

Answer

2160

Answer

1080

Question 9

Segments congruent to EG and GF in $riangle EFG$ are constructed along ray EF. What must be shown to verify the Triangle Inequality Theorem for EFG?

Accepted Answer

EG + GF > EF

Answer

EG + GF = EF

Answer

EF + GF > EG

Question 10

In the figure, the horizontal lines are parallel and AB  BC  CD. Find JM. The diagram is not to scale.

Accepted Answer

21

Answer

28

Answer

7

Answer

14

Question 11

Complete this statement: A polygon with all sides the same length is said to be ____.

Accepted Answer

equilateral

Answer

equiangular

Answer

regular

Answer

convex

Question 12

In parallelogram DEFG, DH = x + 3, HF = 2y, GH = 3x – 1, and HE = 4y + 4. Find the values of x and y. The diagram is not to scale.

Accepted Answer

x = 11, y = 7

Answer

x = 8, y = 13

Answer

x = 13, y = 8

Question 13

What are the missing reasons in the two-column proof?

Given: PS = SR and m m

Prove: PQ >QR

Accepted Answer

2. Reflexive Property

4. Hinge Theorem

Answer

2. Symmetric Property

4. Hinge Theorem

Answer

2. Reflexive Property

4. Converse of Hinge Theorem

Answer

2. Transitive Property

4. Converse of Hinge Theorem

Question 14

What is the missing reason in the proof?

Given: Parllelogram ABCD with diagonal BD

Prove: $riangle ABD\cong riangle CDB$

Accepted Answer

ASA

Answer

Alternate Interior Angles Theorem

Answer

SSS

Answer

Reflexive Property of Congruence

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