Incenter and Circumcenter — Unit test Answers

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?

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

Triangle KNM is shown.

Consider triangle WXY.

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.

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

Which must be true? Select two options.

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 which figure is point G a centroid?

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

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.

In the triangles, and .

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

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.

Point Z is the incenter of ΔSRT.

Point Z is the circumcenter of ΔLMN.

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.

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

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

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