4.6 Practice

When can we use the HL Congruence Theorem?

• Right Triangles
• Isosceles Triangles
• When we have a reflexive side
• SSA

Tags

CCSS.HSG.SRT.B.5

The Base Angles Theorem states:

• If two angles of a triangle are congruent, then the sides opposite of those angles are congruent.
• If two sides of a triangle are congruent, then the angles opposite of those sides are congruent.
• If two triangles are congruent, then their corresponding sides and angles are congruent.
• None of the above.

Tags

CCSS.8.G.A.2

Can the HL Congruence Theorem be used to prove the triangles congruent? If so, write a congruence statement.

• Yes, △ABC≅△YXW
• Yes, △CBA≅△WXY
• Yes, △BCA≅△XYW
• No

Tags

CCSS.HSG.SRT.B.5

Can the HL Congruence Theorem be used to prove the triangles congruent? If so, write a congruence statement.

• Yes, △ABC≅△NLM
• Yes, △CBA≅△NLM
• Yes, △CBA≅△MLN
• No

Tags

CCSS.HSG.SRT.B.5

Which of the following is true?

• ∠ABD≅∠ADB
• ∠ABD≅∠BAD
• ∠ABD≅∠DAC
• ∠ABD≅∠ACD

Do we have enough information to say these two triangles are congruent? If so, what allows us to say this?

• No
• Yes, SSS
• Yes, HL
• Yes, SAS

Tags

CCSS.HSG.SRT.B.5

What will the last "reason" of this proof be?

• Definition of Midpoint
• Definition of Angle Bisector
• CPCTC
• Reflexive

Tags

CCSS.HSG.CO.C.9

What will the last "reason" of this proof be?

• CPCTC
• Corresponding Angles Postulate
• Alternate Interior Angles Theorem
• Definition of Midpoint

Are these triangles congruent? If so, why?

• Yes, HL Theorem
• Yes, SSS
• Yes, SAS
• No

Tags

CCSS.HSG.SRT.B.5

Which conclusion can be made from the given picture, given AC || BD.

• ∠B≅∠D
• ∠C≅∠B
• ∠A≅∠D
• ∠A≅∠B

Tags

CCSS.8.G.A.5