Questions: Type SSS, SAS, ASA, SAA, or HL to describe these triangles.

Type SSS, SAS, ASA, SAA, or HL to describe these triangles.
Transcript text: Type SSS, SAS, ASA, SAA, or HL to describe these triangles.
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Solution

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Solution Steps

Step 1: Analyze the given information

The given image shows a triangle with a segment drawn from the vertex angle to the base. The base angles formed by the segment and the base of the triangle are marked as congruent (marked with similar x's). The segment from the vertex angle to the base is perpendicular to the base, as indicated by the right angle symbol where the segment intersects the base.

Step 2: Identify corresponding parts in the two triangles

The segment drawn from the vertex to the base creates two smaller triangles within the larger triangle. Let's call them Triangle 1 and Triangle 2.

  • The segment drawn from the vertex to the base is a shared side for both Triangle 1 and Triangle 2. Let's call this side 'S'.
  • The base angles created by the segment intersecting the base of the triangle are congruent (marked with similar x's). Let's call these angles 'A'.
  • The segment meeting the base forms right angles. Let's call these angles 'A'.
Step 3: Determine the appropriate congruence theorem

Triangle 1 and Triangle 2 share a side (S). They also each have a right angle (A) and another equal corresponding angle (A). Therefore, the two triangles are congruent by ASA.

Final Answer

ASA

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