Question

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

Given: Rectangle ABCD

Answer 1

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

Answer 2

Answer:

Step-by-step 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.