Using Triangle Congruence Theorems — Unit test Answers

Consider triangle WXY.

Given: bisects ∠MRQ; ∠RMS ≅ ∠RQS

A regular pentagon is created using the bases of five congruent isosceles triangles, joined at a common vertex.

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.

Nigel and Mia are searching for a treasure chest under water. The straight line distance between them is 100 meters.

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

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.

Triangle L N P has centroid S. Lines are drawn from each point to the midpoint of the opposite side to form line segments N R, L P, and Q M. The length of line segment N S is 7 x minus 3 and the length of line segment S R is 5 x minus 3.

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

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

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?

Chang knows one side of a triangle is 13 cm. Which set of two sides is possible for the lengths of the other two sides of this triangle?

Point X is the circumcenter of ΔABC.What is the length of XB?

Point Z is the circumcenter of ΔLMN.

Triangle KNM is shown.

Which must be true? Select two options.

Which statements regarding the diagram of ΔEBC are true? Select three options.

Point Z is the incenter of ΔSRT.

Triangle XYZ is isosceles. Angle Y measures a°.

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