Intro to Congruence

What has to be true for two shapes to be considered "congruent"

• All corrsponding angles have to have the same measure

• All corresponding sides have to have the same length

• All corresponding angles have to have the same measure and all corresponding sides have to have the same length

If  Δ ABC ≅ Δ DEF , which angle is congruent to angle B?

• ∠E

• ∠D

• ∠C

If  Δ ABC ≅ Δ DEF , which angle is congruent to angle D?

• ∠C

• ∠A

• ∠E

If  Δ ABC ≅ Δ DEF , which side  is congruent to AC?

• EF

• DF

• BE

Which is the correct way to write a congruency statement about the two figures shown?

• FED ~ TSR

• FED ~ RST

• FED ~ STR

• FED ~ RTS

• They are all correct.

Which relationships could be the two missing statements? Select the two that apply.

• ∠2≅∠3

• ∠𝐴≅∠𝐴

• Δ𝐴𝐵𝐸~Δ𝐴𝐶𝐷

• Δ𝐸𝐴𝐵~Δ𝐶𝐴𝐷

If AC≅PR what other piece of information do you need to prove the triangles are ≅ by HL Theorem?

• AC≅PR

• BC≅QR

• <A≅<P

• <C≅<R

If LMNO ≅ WZYX, Which angle is congruent to ∠NOL?

• ∠WZY

• ∠YXW

• ∠XYZ

Which of the following is a valid congruence statement for the given image?

• ΔDFE ≌ ΔCAB

• ΔDFE ≌ ΔACB

• ΔDFE ≌ ΔBAC

If  Δ ABC ≅ Δ DEF , which side  is congruent to FE?

• BA

• CA

• CB