Unit Test - Congruence and Similarity

In the drawing below, PQ is parallel to ST . Triangle PQR is similar to triangle TSR.

Which statement about the sides is true?

• Side QR corresponds to Side RT.

• Side PR corresponds to Side TR .

• Side SR corresponds to Side PR .

• Side ST corresponds to Side PT .

In the map below, the path from the whales to the sharks is parallel to the path from the penguins to the fish tanks.

What is the distance between the penguins and the fish tanks?

• 25 feet

• 36 feet

• 69 feet

• 81 feet

The triangles below are similar.

Which similarity statement expresses the relationship between the two triangles?

• 
• 
• 
• 

The measure of angle A is 30 degrees, and the measure of angle B is 124 degrees.

What is the measure of angle C in degrees?

• 26

• 34

• 94

• 154

Julia lined up the interior angles of the triangle along the line below.

What is the measure of angle A?

• 30

• 38

• 112

• 142

Which correctly describes how to determine the measure of angle 1?

• The 81° angle and angle 2 are corresponding angles so angle 2 must measure 81°. Angles 1 and 2 are supplementary angles so angle 1 must measure 99°.

• The 81° angle and angle 2 are alternate interior angles so angle 2 must measure 81°. Angles 1 and 2 are supplementary angles so angle 1 must measure 99°.

• The 81° angle and angle 2 are corresponding angles so angle 2 must measure 99°. Angles 1 and 2 are supplementary angles so angle 1 must measure 81°.

• The 81° angle and angle 2 are alternate interior angles so angle 2 must measure 99°. Angles 1 and 2 are supplementary angles so angle 1 must measure 81°.

If Angle 2 is congruent to angle 4 and Angle 5 is congruent to angle 7, which describes all the lines that must be parallel?

• Only lines r and s must be parallel.

• Only lines t and u must be parallel.

• Lines r and s and lines t and u must be parallel.

• Neither lines r and s nor lines t and u must be parallel.

In the diagram, which two angles are corresponding angles with angle 12?

• Angle 8 and Angle 16

• Angle 6 and Angle 10

• Angle 9 and Angle 11

• Angle 5 and Angle 15

In the diagram, the measure of angle 3 is (23x)°, and the measure of angle 4 is (7x)°.What is the measure of angle 4?

• 30

• 42

• 120

• 138

Which pair of angles must be supplementary?

• Angle 1 and Angle 6

• Angle 2 and Angle 5

• Angle 5 and Angle 4

• Angle 6 and Angle 2