Read the following proof carefully. Then fill in the best term for each blank. W

ID: 3003667 • Letter: R

Question

Read the following proof carefully. Then fill in the best term for each blank.

We are given that AC¯?BD¯.

AB¯?DC¯ are congruent because they are ___[1]____ sides of a parallelogram.

AD¯?AD¯ by the Reflexive Property of Congruence.

Thus, ?ABD??ACD by the SSS Congruence Postulate.

Then, ?BAD??CDA because they are corresponding angles of congruent triangles.

m?BAD+m?CDA=180°because ___[2]____ angles of a parallelogram are supplementary.

Using substitution and the definition of congruent angles, statement 6 can be simplified to conclude that m?BAD=90° and m?CDA=90°.

Similar reasoning shows that m?DCB=90° and m?CBA=90°.

Thus, parallelogram ABCD is a rectangle by definition of a rectangle.

Enter the words that correctly fill in the blanks labeled [1] and [2]. Separate your answers with a comma, like this: parallelogram, determine

Given: ABCD is a parallelogram with congruent diagonals. Prove: ABCD is a rectangle.

1.Opposite sides

2.Consecutive angles

these answers come from these important properties of the parallelogram:

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