Incenter and Circumcenter — Unit test Answers

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

Consider the diagram.

In the diagram, the length of segment QV is 15 units.

On a coordinate plane, line A B goes through (negative 2, 4) and (0, negative 4). Point Z is at (0, 2).

Lines a and b are parallel lines cut by transversal f.

Given: and Prove: What is the missing reason in the proof?

On a coordinate plane, a line goes through (negative 5, negative 4) and (0, negative 3). A point is at (negative 2, 2).

A given line has the equation .What is the equation, in slope-intercept form, of the line that is perpendicular to the given line and passes through the point (0, 9)?

Two parallel lines are crossed by a transversal.

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

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.

Two parallel lines are crossed by a transversal.

Point Z is the incenter of ΔSRT.

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

Triangle XYZ is isosceles. Angle Y measures a°.

Point Z is the circumcenter of ΔLMN.

On a coordinate plane, line D F goes through points (negative 1, negative 3) and (2, 3). Point G is at (negative 4, negative 4).

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

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?

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.