Oct 312:43 PM Oct 313:35 PM - Weeblyjmackey.weebly.com/uploads/5/2/0/3/5203631/4.5_notes.pdf · ASA...

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1 Oct 313:29 PM WARM-UP: 1. STATEMENTS REASONS 1. GIVEN 2. 2. Oct 312:48 PM 4-4 Homework: p. 269 [5,6,12-15,24,25] Oct 312:49 PM Oct 312:49 PM Oct 312:43 PM Oct 313:35 PM

Transcript of Oct 312:43 PM Oct 313:35 PM - Weeblyjmackey.weebly.com/uploads/5/2/0/3/5203631/4.5_notes.pdf · ASA...

Page 1: Oct 312:43 PM Oct 313:35 PM - Weeblyjmackey.weebly.com/uploads/5/2/0/3/5203631/4.5_notes.pdf · ASA ASA Postulate An included side is the side located between two consecutive angles

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Oct 31­3:29 PM

WARM-UP:

1.

STATEMENTS REASONS

1. GIVEN

2. 2.

Oct 31­2:48 PM

4-4 Homework: p. 269 [5,6,12-15,24,25]

Oct 31­2:49 PM Oct 31­2:49 PM

Oct 31­2:43 PM Oct 31­3:35 PM

Page 2: Oct 312:43 PM Oct 313:35 PM - Weeblyjmackey.weebly.com/uploads/5/2/0/3/5203631/4.5_notes.pdf · ASA ASA Postulate An included side is the side located between two consecutive angles

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Oct 31­2:45 PM Oct 31­2:44 PM

Oct 31­2:45 PM Oct 31­3:36 PM

STATEMENTS REASONS

A

DC

E

B

C

*HINT* If triangles overlap in the pic, separate them to get a closer look! :-)

1. 1. GIVEN

Both angles sharethe same <C!

2. <C ≅ <C 2. Reflexive Property of Congruence

3. 3. SAA or AAS

Oct 31­2:31 PM Oct 31­2:37 PM

Page 3: Oct 312:43 PM Oct 313:35 PM - Weeblyjmackey.weebly.com/uploads/5/2/0/3/5203631/4.5_notes.pdf · ASA ASA Postulate An included side is the side located between two consecutive angles

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Oct 31­2:37 PM

Hint- find the triangles with the given parts to start

A

B

D

CC

B

You can use SSS, SAS, ASA, and SAA/AAS when proving any types of triangles congruent, includingright triangles. However, RIGHT TRIANGLES also have an additional shortcut that is possible!

Notice both triangles have a common leg, side BC. So, BC ≅ BC

Therefore, ΔABC ≅ΔDCB by HL.Then AB ≅ DC by CPCTC.

EX:

Oct 31­2:40 PM

and HL for RIGHT TRIANGLES

Oct 31­4:18 PM

4-5 HW p.279 [6,7,9,10,17,18] and p. 284; 9

CHAPTER 4 TEST on TUESDAY, Nov. 8th!