Triangle Congruence: SSS and HL — Unit test Answers

The base angle of an isosceles triangle measures 54°. What is the measure of its vertex angle?

A line extends from a side of a triangle.

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Triangles A B C and A B F are congruent. Triangle A B C is reflected across line B A to form triangle A B F.

Triangles A B C and D E F are shown. Triangle A B C is rotated to the left about point A and then is shifted up and to the right to form triangle D E F.

Triangle ABC has the angle measures shown.

A triangle has side lengths measuring 2x + 2 ft, x + 3 ft, and n ft.

Triangles A B C and A D C share common side A C. The lengths of A B and A D are congruent.

Consider the diagram.

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

Equilateral triangle ABC has a perimeter of 96 millimeters. A perpendicular bisector is drawn from angle A to side at point M.What is the length of ?

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

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

Which type of triangle will always have a perpendicular bisector that is also an angle bisector?

Given: HF || JK; HG ≅ JGProve: FHG ≅ KJG