Mathematics, 26.07.2021 15:40, Misterasomoe
Samuel was given the diagram below and asked to prove that AC = BD. What
would be the fifth step of the proof?
Given: Quadrilateral ABCD is a rectangle.
Prove: AC BD
Statements
1. Quadrilateral ABCD is a rectangle
2. AB a CD
3. ZBAD ZODA
4. ADE AD
5.
6. AC 230
Reasons
Given
Opposite sides of a rectangle are equa.
All angles of a rectande are equal.
Reflexive Property of Equality
Corresponding parts of congruent
triangles are congruent
с
A. AABD = SACD, using the SSS congruence theorem
B. ABAD = ACDA, using the SAS congruence theorem
C. 4ACB ACDA, using the SAS congruence theorem
D. ABC = ADAC, using the AAA congruence theorem
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