Samuel was given the diagram below and asked to prove that A

Samuel was given the diagram below and asked to prove that AC BD. What would be the fifth step of the proof?

BO . What would be Samuel was given the diagram below and asked to prove that AC the fifth step of the proof? Given: Quadrilateral ABCD is a rectangle. Prove: AC BD Statements 1. Quadrilateral ABCD is a rectangle 2. AB CD Reasons Given Opposite sides of a rectangle are equal All angles of a rectangle are equa Reflexive Property of Equality 4. ADAD 6. AC BD Corresponding parts of congruent triangles are congruent

Solution

the given three steps from step number 2 to step number 4 are the steps provided for proving the two triangles are congruent.

step 2 is taking sides into consideration(side)

step 3 taking angles into consideration(angle)

step 4 taking sides into consideration (side)

so the two triangles are congruent by SAS (side angle side congruence theorem)

name the two triangles carefully BAD and CDA

hence option D is correct.