Geom 11_16_17 sect 4_6

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November 16, 2017warm-up after 4.5:

Are the ∆s ≅? If yes, state the theorem or postulate.1. ∆ABD, ∆CBE 2.

3. State the third congruence needed to prove the ∆s ≅ by SAS.

ST≅YZ, ∠Y ≅∠S

Yes or No If yes why?______ Yes or No If yes why?______

_____≅_____

4.6 Prove Triangles Congruent By ASA and AAS

Learning Target: I can compare triangles and explain if they are congruent. (G-Co.8)

Partner A: Tell your partner what you believe you will have to show is congruent in the triangles if using ASA. Where will the Side have to be???

Partner B: Tell your partner what you believe you will have to show is congruent in the triangles if using AAS. Where will the Side have to be???

Turn to your partner:

To prove ∆s ≅1) ________

3) ASA (Angle-Side-Angle Post.) Show 2 ∠s and included side are ≅

R

S

T

W

XY

If ∠S≅∠W, ∠T≅∠Y and ___ ≅ ___ ,

then ∆RST≅ _______

2) ________

4) AAS (Angle-Angle-Side Th.)Show 2 ∠s and non-included side are ≅

A

B

C

D

E

F

If ∠A ≅∠D , AC ≅DF and ___ ≅ ___ , then ∆BAC ≅ _______.

Geom 11_16_17 sect 4_6

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November 16, 2017

State the third congruence that is needed to prove that ∆DEF≅ ∆QRT using the given postulate or theorem.

1. GIVEN: ∠E ≅ ∠R, EF ≅ RT, ____ ≅ ____ Use the AAS 2. GIVEN: ∠E ≅ ∠R, EF ≅ RT, ____≅ ____ Use the ASA

Mark the pictures with other known information! Decide if the triangles are ≅. If yes, tell which method you used and complete the congruency statement.3. 4.

∆GHK ≅ ______

Yes or No

∆EFG ≅ ______

If Yes, why? ______

Yes or No

If Yes, why? ______

5.

∆NLM ≅ ______ ∆DCB ≅ ______

6.A

BC

D

Yes or No

If Yes, why? ______

Yes or No

If Yes, why? ______

C

EB

D

A

Statements Reasons

1. _______________________ 1. _____________________

2. _______________________ 2. _____________________

3. _______________________ 3. _____________________

4. _______________________ 4. _____________________

5. _______________________ 5. _____________________

7.

BD ≅ BC

AD || EC

∆ABD ≅ ∆EBC

Given

Given

Given: A and C are right angles,

BD bisects ABC

8.

Prove: ∆BAD ≅ ∆BCD

A and C are right angles

BD bisects ABC

Given

Given

∆BAD ≅ ∆BCD

Assignment: 4.6 Worksheet

Exit Slip:

do #5 and #11 on worksheet

Geom 11_16_17 sect 4_6

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November 16, 2017