Question

if the two triangles are congruent, state how you know. if not, state
ot congruent.\

sas
aas
sss
asa
not congruent

Explanation:

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<reasoning>

Identify given congruent sides

Using the Triangle Congruence Postulates knowledge point

• Left triangle has a side with three tick marks and a side with one tick mark.
• Right triangle has a side with three tick marks and a side with one tick mark.
• Thus, two pairs of corresponding sides are congruent.

Apply reflexive property

Using the Reflexive Property of Congruence knowledge point

• The two triangles share a common vertical side.
• This shared side is congruent to itself.

Determine congruence postulate

• Three pairs of corresponding sides are congruent.
• This satisfies the Side-Side-Side (SSS) congruence postulate.

</reasoning>

<answer>
<mcq-option>SAS</mcq-option>
<mcq-option>AAS</mcq-option>
<mcq-correct>SSS</mcq-correct>
<mcq-option>ASA</mcq-option>
<mcq-option>not congruent</mcq-option>
</answer>

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"Mathematics",
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"Triangle Congruence"
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Answer:

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<reasoning>

Identify given congruent sides

Using the Triangle Congruence Postulates knowledge point

• Left triangle has a side with three tick marks and a side with one tick mark.
• Right triangle has a side with three tick marks and a side with one tick mark.
• Thus, two pairs of corresponding sides are congruent.

Apply reflexive property

Using the Reflexive Property of Congruence knowledge point

• The two triangles share a common vertical side.
• This shared side is congruent to itself.

Determine congruence postulate

• Three pairs of corresponding sides are congruent.
• This satisfies the Side-Side-Side (SSS) congruence postulate.

</reasoning>

<answer>
<mcq-option>SAS</mcq-option>
<mcq-option>AAS</mcq-option>
<mcq-correct>SSS</mcq-correct>
<mcq-option>ASA</mcq-option>
<mcq-option>not congruent</mcq-option>
</answer>

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"knowledge_point": [
"Mathematics",
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"Triangle Congruence"
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