Incenter and Circumcenter — Unit test Answers

Consider the diagram.

In which figure is point G a centroid?

Two parallel lines are crossed by a transversal.

A pipe cleaner lay across a wire shelf. The wires that make up the shelf are parallel, and the pipe cleaner is a transversal. The parallel wires are labeled a, b, and, c, and the angles are labeled with numbers.

The given line segment has a midpoint at (3, 1).

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.

On a coordinate plane, 2 lines are shown. Line H J has points (negative 4, negative 2) and (0, 4). Line F G has points (negative 4, 1) and (0, negative 2).

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?

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

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

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

The given line passes through the points (0, ) and (2, 3).

In the triangles, and .

In the diagram, CE=12 units and BE=5 units.

Triangle XYZ is isosceles. Angle Y measures a°.

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 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.

Consider the diagram.

Based on this information, which pair of lines, together, could be perpendicular to RS? Select two options.