Unit Test — Unit test Answers

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

Point Z is the incenter of ΔSRT.

Triangle KNM is shown.

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?

The lengths of the sides of triangle XYZ are written in terms of the variable m, where m ≥ 6.

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.

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

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

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

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

In which figure is point G a centroid?

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 XYZ is isosceles. Angle Y measures a°.

Triangle A B C is shown. Side A C has a length of 27. Side C B has a length of 54.

Which must be true? Select two options.

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

Point Z is the circumcenter of ΔLMN.

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.

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

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