Proving Lines Parallel — Unit test Answers

Point Z is the incenter of ΔSRT.

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

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.

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

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

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

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

In the triangles, and .

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

Triangle KNM is shown.

Triangle XYZ is isosceles. Angle Y measures a°.

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.

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?

In which figure is point G a centroid?

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

Consider triangle WXY.

Point Z is the circumcenter of ΔLMN.