Geometry Chapter 5 Test

The ___________ is the intersection of the perpendicular bisectors of the sides.

The centroid is in the interior of the triangle.

• always

• sometimes

The intersection of the triangle’s angle bisectors is the __________.

Find the length of MG if MS = 36 cm and RG = 18 cm.

• 24

• 12

• 36

• 6

Find RQ if ray PR

bisects angle QPS, PS = 12 cm, and PR = 15 cm.

• 12 cm

• 10 cm

• 9 cm

• 6 cm

Name the shortest side in Δ ABC if m/A = 35⁰ and m/B = 82⁰.

• AC

• BC

• BA

Name the largest angle in Δ XYZ if XY = 4, XZ = 8, and YZ = 5.

• angle Y

• angle X

• angle Z

Use the Hinge Theorem or its converse to compare an unlabeled pair of angles in these triangles.

• m ∠ Z < m ∠ W

• m ∠ Z > m ∠ W

• m ∠ W < m ∠ Z

• m ∠ W > m ∠ Z

Use the Hinge Theorem or its converse to compare an unlabeled pair of sides in these triangles.

• US > OM

• ON < UT

• ON > UT

• US < OM

Which statement is true if m ∠ AXM > m ∠ XMQ.

• Hinge Theorem

• Exterior Angle Inequality Theorem

• Greater Angle Theorem

• Triangle Inequality Theorem