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10. In the figure below, Eis the midpoint of QT and QW - TRREwWhich additional condition would be sufficient to prove that AQWE - ATRE?

10 In The Figure Below Eis The Midpoint Of QT And QW TRREwWhich Additional Condition Would Be Sufficient To Prove That AQWE ATRE class=

Sagot :

Congruence of Triangles

One of the congruence theorems of triangles state that if two right angles triangles have conguent hypotenuses and one corresponding leg also congruent, then the triangles are congruent.

We are not said triangles QWE and TRE are right (with a 90° interior angle), but we need to find the conditions that make them congruent, according to the data provided.

First, we know E is the midpoint of the segment QT, this means QE and TE are congruent.

We also know segment QW is congruent with segment TR. This makes two sides of the triangles congruent.

We only need to know if they are right triangles. The only condition that ensures that is the first one: QT is perpendicular to WR.

This would give us the required conditions to make triangles QWE and TRE congruent.

Answer: First choice QT is perpendicular to WR

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