Practice: Centers of Triangles and Proofs

What is statement #2?

• ∠ABC≅∠EDC
• ∠BCA≅∠DCE
• BC≅CD
• ∠E≅∠A

Tags

CCSS.HSG.SRT.B.5

What is the relationship of ∠1 and ∠5?

• Corresponding Angles

• Alternate Interior Angles

• Alternate Exterior Angles

• Consecutive Interior Angles

• Vertical Angles

Tags

CCSS.8.G.A.5

What is the relationship of ∠4 and ∠7?

• Corresponding Angles

• Alternate Interior Angles

• Alternate Exterior Angles

• Consecutive Interior Angles

• Linear Pair

Tags

CCSS.8.G.A.5

Supply the second reason.

• Linear Pair Postulate

• Alternate Interior Angles Theorem

• Vertical Angles Theorem

• Corresponding Angles Postulate

Tags

CCSS.8.G.A.5

Supply the third reason.

• Vertical Angle Theorem

• Corresponding Angles Postulate

• Alternate Interior Angles Postulate

• Same Side Interior Angles Theorem

Tags

CCSS.8.G.A.5

The figure is an example of a(n) ...

• angle bisector
• perpendicular bisector
• median
• midsegment

If m∠CAP = 34° , find ∠CAB.

• 17°
• 34°
• 68°
• 90°

Tags

CCSS.HSG.C.A.3

The point where the 3 perpendicular bisectors of a triangle cross is called the ___?

• Midsegment

• Incenter

• Circumcenter

• Centroid

Tags

CCSS.HSG.C.A.3

H is the circumcenter of triangle BCD. What is the length of GD?

• 29

• 26

• 32

• 24

Tags

CCSS.HSG.C.A.3

The incenter is the point at which all the ____ of a triangle meet.

• perpendicular bisectors

• medians

• altitudes

• angle bisectors

Tags

CCSS.HSG.C.A.3