Mathematics, 17.12.2021 08:30, alysiareyes
The proof that ΔABC ≅ ΔCDA is shown.
Given: ∥ Line segment A B is parallel to line segment C D and Line segment B C is parallel to line segment D A ∥
Prove: ΔABC ≅ ΔCDA
Parallelogram A B C D is shown. A line is drawn from point A to point C to form 2 triangles.
What is the missing reason in the proof?
Statements Reasons
1. AB ∥ CD; BC ∥ DA 1. given
2. Quadrilateral ABCD is a ▱ 2. definition of parallelogram
3. AB ≅ CD; BC ≅ DA 3. opposite sides of a parallelogram are ≅
4. AC ≅ AC 4. reflexive property
5. ΔABC ≅ ΔCDA 5. ?
perpendicular bisector theorem
Pythagorean theorem
HL theorem
SSS congruence theorem
Answers: 1
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The proof that ΔABC ≅ ΔCDA is shown.
Given: ∥ Line segment A B is parallel to line segment C D and...
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