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Math worksheet focusing on proving triangle congruence using various geometric theorems and given side lengths.

Congruent Triangles Worksheet with four problems involving triangle congruence proofs and side measurements.

Congruent Triangles Worksheet with four problems involving triangle congruence proofs and side measurements.

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Show Answer Key & Explanations Step-by-step solution for: SOLUTION: Congruent triangles worksheet grade 7 - Studypool
1. The triangles are congruent by the SSS (Side-Side-Side) Congruence Theorem.
2. ΔAEB ≅ ΔAEC by the SAS (Side-Angle-Side) Congruence Theorem, as AE is common, ∠AEB = ∠AEC = 90°, and AB = AC.
3. ΔABD ≅ ΔEFC by the SAS (Side-Angle-Side) Congruence Theorem, as AB ≅ EF, BC ≅ DF implies BD ≅ FC, and the included angles are equal.
4. x = 5.
Parent Tip: Review the logic above to help your child master the concept of geometry worksheet congruent triangles.
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