Triangle Congruence: SAS — Unit test

Question 1

Which congruence theorem can be used to prove △WXS ≅ △YZS?

Revolt · Accepted Answer

ASA

Question 2

Three quadrilaterals exist such that GHJK ≅ ASDF and GHJK ≅ VBNM.If MV measures 3 cm, which other segment must measure 3 cm?

Revolt · Accepted Answer

AF

Question 3

Which pair of triangles can be proven congruent by SAS?

Revolt · Accepted Answer

2 identical triangles are shown. The triangle is reflected across a line to form the second triangle.

Question 4

Triangle KNM is shown.

Revolt · Accepted Answer

KN = NM

Question 5

Triangle A B C is shown with its exterior angles. Line C B extends through point D. Line B C extends to form exterior angle that is 135 degrees. Angle C A B is 75 degrees.

Revolt · Accepted Answer

m∠ABC = 60°

Question 6

In ΔXYZ, m∠X = 90° and m∠Y = 30°. In ΔTUV, m∠U = 30° and m∠V = 60°. Which is true about the two triangles?

Revolt · Accepted Answer

No congruency statement can be made because the side lengths are unknown.

Question 7

The proof that ΔQPT ≅ ΔQRT is shown.Given: SP ≅ SRProve: ΔQPT ≅ ΔQRT

Revolt · Accepted Answer

definition of perpendicular bisector

Question 8

Triangles Q R S and A B C are shown. The lengths of sides Q R and A B are 16 centimeters. The lengths of sides R S and B C are 24 centimeters. Angles Q R S and A B C are right angles. Sides Q S and A C are parallel and identical to each other and there is space in between the 2 triangles.

Revolt · Accepted Answer

Yes, ΔQRS can be translated so that Q is mapped to A and then reflected across the line containing QS.

Question 9

Triangles J K L and M N R are shown.

Revolt · Accepted Answer

JK ≅ MN

Question 10

If triangle RST is an acute triangle, then m∠S must be

Revolt · Accepted Answer

less than 90°.

Triangle Congruence: SAS — Unit test Answers

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