Triangle Congruence: SAS — Unit test

Question 1

A line extends from a side of a triangle.

Revolt · Accepted Answer

an exterior angle

Question 2

Which pair of triangles can be proven congruent by the HL theorem?

Revolt · Accepted Answer

2 right triangles have congruent hypotenuses and another congruent side.

Question 3

On a coordinate plane, 2 triangles are shown. Triangle A B C has points (negative 3, negative 1), (negative 1, 2), and (negative 5, 3). Triangle R S T has points (1, 1), (3, 4), and (5, 0).

Revolt · Accepted Answer

ΔRST ≅ ΔBAC

Question 4

Triangle DEF is isosceles, where . Angle FDE is bisected by segment DG, creating angle GDE with a measure of 29°.

Revolt · Accepted Answer

64°

Question 5

The proof that UX ≅ SV is shown.Given: △STU an equilateral triangle∠TXU ≅ ∠TVSProve: UX ≅ SVWhat is the missing statement in the proof?StatementReason1. ∠TXU ≅ ∠TVS1. given2. ∠STV ≅ ∠UTX2. reflex. prop.3. △STU is an equilateral triangle3. given4. ST ≅ UT4. sides of an equilat. △ are ≅5. ?5. AAS6. UX ≅ SV6. CPCTC

Revolt · Accepted Answer

△TUX ≅ △TSV

Question 6

In triangle QRS, QR = 8 and RS = 5. Which expresses all possible lengths of side QS?

Revolt · Accepted Answer

3 < QS < 13

Question 7

Lines P S and W T are horizontal and parallel. Lines V R and Q R are diagonal and intersect lines P S and W T to form triangle X Y Z.

Revolt · Accepted Answer

∠RXZ and ∠YXZ

Question 8

Which congruence theorem can be used to prove △BDA ≅ △DBC?

Revolt · Accepted Answer

HL

Question 9

Triangle ABC is rotated 45° about point X, resulting in triangle EFD.

Revolt · Accepted Answer

3.6 cm

Question 10

How can ΔABC be mapped to ΔXYZ?

Revolt · Accepted Answer

vertex B to vertex Y

Triangle Congruence: SAS — Unit test Answers

More from this Course

TRY EDGENUITY HACKS