Triangle Congruence: SSS and HL — Unit test Answers

Triangle KNM is shown.

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.

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

2 horizontal and parallel lines are intersected by 2 diagonal lines to form a triangle with exterior angles. The top angle of the triangle is (2 x + 10) degrees. The bottom right angle of the triangle is 79 degrees. The exterior angle to the bottom left angle is (6 x + 1) degrees.

Triangle L M Q is cut by perpendicular bisector L N. Angle N L Q is 32 degrees and angle L M N is 58 degrees.

Triangles J K L and M N R are shown.

Triangle XYZ is isosceles. Angle Y measures a°.

Triangles D E F and G H J are congruent. Triangle D E F is shifted down and to the right to form triangle G H J.

Two sides and the non-included right angle of one right triangle are congruent to the corresponding parts of another right triangle. Which congruence theorem can be used to prove that the triangles are congruent?

The triangles are congruent by the SSS congruence theorem.

If isosceles triangle ABC has a 130° angle at vertex B, which statement must be true?

Triangle A B C is shown. Lines are drawn from each point to the opposite side and intersect at point D. They form line segments A G, B E, and C F.

Triangles A B C and Q R S are shown. Sides A B and Q R are congruent. Angles C A B and R Q S are congruent. Angles Q S R and A C B are congruent.

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

Triangle T R S has centroid Z. Lines are drawn from each point to the midpoint of the opposite side to form line segments T W, R V, and S U.

Given: bisects ∠MRQ; ∠RMS ≅ ∠RQS

Triangle K M L is shown. Line L K extends through point J to form exterior angle J K M.

In which figure is point G a centroid?

Triangle JKL is isosceles. The measure of angle J is 72° and the measure of angle K is 36°. Which statement describes angle L?