Sss And Hl

Decide whether enough information is given to prove that the triangles are congruent using the HL Congruence Theorem.

• Yes! There are three sets of congruent sides.

• No - You cannot assume that the triangles have right angles.

• Yes! You have two right angles, two congruent hypotenuses and two congruent legs.

• No - You are missing a set of congruent sides.

Tags

CCSS.HSG.SRT.B.5

Decide whether enough information is given to prove that the triangles are congruent using the SSS Congruence Theorem.

• Yes! There are three sets of congruent sides.

• No - You cannot assume that the triangles have right angles.

• Yes! You have two right angles, two congruent hypotenuses and two congruent legs.

• No - You are missing a set of congruent sides.

Tags

CCSS.HSG.SRT.B.5

Decide whether enough information is given to prove that the triangles are congruent using the SSS Congruence Theorem.

• Yes! You have three sets of congruent sides.

• No - You cannot assume that the triangles have right angles.

• No - You do not know if the hypotenuses are congruent.

• No - You are missing a set of congruent sides.

Tags

CCSS.HSG.SRT.B.5

Decide whether enough information is given to prove that the triangles are congruent using the SSS Congruence Theorem.

• Yes! There are three sets of congruent sides.

• No - You cannot assume that the triangles have right angles.

• No - The hypotenuses are not congruent.

• No - You are missing a set of congruent sides.

Tags

CCSS.HSG.SRT.B.5

• DF≅FD by Reflexive Property so ΔDEF≅ΔDGF by SSS
• ∠E≅∠G are Vertical Angles so     ΔDEF≅ΔDGF by SSS
• DF≅FD by Symmetric Property so ΔDEF≅ΔDGF by SSS
• ∠E≅∠G are Alternate Interior Angles so ΔDEF≅ΔDGF by SSS

Tags

CCSS.HSG.SRT.B.5

How are the triangles congruent?

• HL

• SSS

• SAS

• AAS

Tags

CCSS.HSG.SRT.B.5

State if the two triangles are congruent.  If they are, state how you know.

• A

• B

• C

• D

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

Decide whether enough information is given to prove that the triangles are congruent using the SSS Congruence Theorem.

• Yes! There are three sets of congruent sides.

• No - You cannot assume that the triangles have right angles.

• No - The hypotenuses are not congruent.

• No - You are missing a set of congruent sides.

Tags

CCSS.HSG.SRT.B.5

Decide whether enough information is given to prove that the triangles are congruent using the HL Congruence Theorem.

• No - You are missing a set of congruent legs.

• No - You cannot assume that the triangles have right angles.

• Yes! You have two right angles, two congruent hypotenuses and two congruent legs.

• No - You are missing a set of congruent hypotenuses.

Tags

CCSS.HSG.SRT.B.5