Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

2. select all that apply: if your reason is sss that means... the three…

Question

  1. select all that apply: if your reason is sss that means... the three sides in a triangle are congruent to the three corresponding sides in a second triangle. the corresponding sides of the two triangles have the same length measure the two triangles have the same size and shape the corresponding angles of the two triangles have the same degree measure

Explanation:

Brief Explanations
  • First option: SSS (Side - Side - Side) congruence criterion states that if three sides of one triangle are congruent to three corresponding sides of another triangle, the triangles are congruent. So this is correct.
  • Second option: If the corresponding sides are congruent (by SSS), they have the same length measure. This is a property of congruent sides, so this is correct.
  • Third option: If two triangles satisfy SSS congruence, they are congruent. Congruent triangles have the same size and shape. So this is correct.
  • Fourth option: By the SSS congruence, if the triangles are congruent, their corresponding angles are also congruent (CPCTC - Corresponding Parts of Congruent Triangles are Congruent), meaning they have the same degree measure. So this is correct.

Answer:

  • The three sides in a triangle are congruent to the three corresponding sides in a second triangle.
  • The corresponding sides of the two triangles have the same length measure.
  • The two triangles have the same size and shape.
  • The corresponding angles of the two triangles have the same degree measure.