Question

Drag and drop the correct answer into each box to complete the proof.

Given: Rectangle ABCD

Answer 1

Explanation:

Given: Rectangle ABCD

To prove: AC is congruent to BD that is AC≅BD.

Proof:

Statements Reason

1.Rectangle ABCD Given

2. AD≅BC Opposite sides of rectangle are congruent

3. DC≅DC Reflexive property

4. ∠ADC and ∠BCD are right angles ∠ADC≅∠BCD

5. ΔACD≅ΔBCD SAS rule of congruency

6. AC≅BD. By CPCTC

Hence proved.

Answer 2

Going in order of box:

AB congruent to DC

reflexive property

angles of a rectangle are right angles

angle ADC congruent angle BCD

AC congruent BD