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Fill in the blanks with one of the following: AAS, ASA, HL, SAS...

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novjb | Salutatorian

Posted July 9, 2013 at 2:19 AM via web

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Fill in the blanks with one of the following: AAS, ASA, HL, SAS or SSS.                

1. If segment AB `cong` segment CB and segment BD bisects <ABC, then `Delta` ABD`cong`  `Delta` CBD by ______.

2. If <ADB `cong` <CDB and <A`cong` <C, then `Delta` ABD `cong` `Delta` CBD by_____.

3. Segment BD is an altitude and segment AB`cong` segment CB, then `Delta` ABD`cong` `Delta` CBD by_____. Then <A`cong` <C because Corresponding parts of `cong` `Delta` s are `cong`

4 Answers | Add Yours

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llltkl | College Teacher | Valedictorian

Posted July 9, 2013 at 3:24 AM (Answer #1)

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1. If segment AB is congruent to segment CB and segment BD bisects angle ABC, then triangle ABD is congruent to triangle CBD by SAS.

2. If angle ADB is congruent to angle CDB and angle A is congruent to angle C, then triangle ABD is congruent to triangle CBD by AAS.

3. Segment BD is an altitude and segment AB is congruent to segment CB, then triangle ABD is congruent to triangle CBD by HL. Then angle A is congruent to angle C because corresponding parts of congruent triangles are congruent.

Sources:

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atyourservice | TA , Grade 10 | Valedictorian

Posted May 26, 2014 at 5:34 PM (Answer #2)

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1. SAS

2. AAS

3. HL

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fashionableb1 | TA , Grade 10 | Salutatorian

Posted May 30, 2014 at 3:41 AM (Answer #3)

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1. sas

2. aas

3. hl

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zumba96 | TA , Grade 11 | Valedictorian

Posted May 31, 2014 at 11:54 PM (Answer #4)

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1. If segment AB  segment CB and segment BD bisects <ABC, then  ABD   CBD by SAS.

2. If <ADB  <CDB and <A <C, then  ABD   CBD by AAS.

3. Segment BD is an altitude and segment AB segment CB, then  ABD  CBD by HL. Then <A <C because Corresponding parts of   s are 

 And there you go :)

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