Module 6 Geometry Review

If RV is an angle bisector, find m∠UVT?

• 10

• 34

• 68

• 136

In the triangle DB is a perpendicular bisector. Find the measure of AD. Enter your answer in the blank.

In △XYZ, point M is the centroid. If XM = 8, find the length of MA. Enter your response in the blank below.

Given: △ABD, BC is the perpendicular bisector of AD. Which statements can always be proven?

• AC≅DC

• BC≅CD

• ∠ACB≅∠DCB

• △ABC≅△DBC

As shown in the diagram of △ACD , B is a point on AC and BD is a segment within the triangle. Select an answer choice to correctly complete the statement/sentence: If m∠A=66°, m∠BDC = 18°, and m∠C=24°, the longest side of △ABD would be segment _________ ( Responses: AB., AD., BD.)

• AB

• AD

• BD

In __________________ the three altitudes intersect outside the triangle.

• a right triangle

• an acute triangle

• an obtuse triangle

• an equilateral triangle

In the diagram at right of △ABC, side BC is extended to point D. m∠A=x, m∠B=2x+15, and m∠ACD=5x+5 What is the m∠B?

• 5

• 20

• 25

• 30

In △ABC, m∠A=60°, m∠B=80° and m∠C=40°. Which of the following relationships would be true? (2 correct answers)

• AB > BC

• AC > BC

• AC < BA

• BC > BA

Three towns, Maybury, Junesville, and Cyanna, will create one sports center. Which of the following methods, should the towns use to determine where the center should be placed so that it is the same distance form all three towns? (2 possible answers)

• Treat the towns as sides of a triangle. The center must be placed at the triangle's incenter

• Treat the towns as vertices of a triangle. The center must be placed at the triangle's incenter.

• Treat the towns as sides of a triangle. The center must be placed at the triangle's circumcenter.

• Treat the towns as vertices of a triangle. The center must be placed at the triangle's circumcenter.

If the m∠BAP = 30°, what is the measure of ∠PAC. Enter your answer in the space provided.