# 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`...

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`

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### 4 Answers

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:**

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

1. sas

2. aas

3. hl

1. SAS

2. AAS

3. HL