Question

The following is an incomplete two-column proof that rectangle ABCD is a parallelogram with congruent diagonals:http://learn.flvs.net/webdav/assessment_images/educator_geometry/v15/module03/03_04/03_04_a41.jpg

Answer 1

@Mertsj

Answer 2

It won't let me open that

Answer 3

I have a mac do you know how else i can copy it?

Answer 4

No I don't. Sorry

Answer 5

k

Answer 6

ill try another way

Answer 7

Ok its a regular rectangle laying vertically. With points B--------C
l l
l l
l l
l l
A --------D
m∠DAB = 90°
m∠ABC = 90°
m∠BCD = 90° Definition of a Rectangle
m∠CDA = 90°

Line AB is parallel to line DC and line BC is parallel to line AD Converse of the Same-Side Interior Angles Theorem

Quadrilateral ABCD is a parallelogram Definition of a Parallelogram
Draw line AC and BD by construction with a straightedge.

Line BA =~ line CD Property of Parallelograms
(opposite sides are congruent)

∠BAD ≅ ∠CDA (Blank)

line AD =~ AD Reflexive Property of Equality

ΔBAD ≅ ΔCDA Side-Angle-Side (SAS) Theorem
line AC =~ line BD Corresponding Parts of Congruent Triangles are Congruent (CPCTC)

@Mertsj

Answer 8

What reason completes the proof?
Alternate Interior Angles Theorem

Definition of Congruence

Property of Parallelograms

Same-Side Interior Angles Theorem

Answer 9

All right angles are congruent.

Answer 10

What reason accurately completes the proof?
Converse of the Same-Side Interior Angles Theorem

Same-Side Interior Angles Theorem

Property of Rectangles (opposite sides are parallel)

Converse of the Alternate Interior Angles Theorem

Answer 11

What reason accurately completes the proof?

A) Converse of the Same-Side Interior Angles Theorem

B) Same-Side Interior Angles Theorem

C) Property of Rectangles (opposite sides are parallel)

D) Converse of the Alternate Interior Angles Theorem

Answer 12

Answer?

Answer 13

@blah124 did you get the answer?

Answer 14

What lesson is it? @IvyLyn

Answer 15

3.04 i got a 40% on the test

Answer 16

did anyone get the answer??

Answer 17

It is Definition of Congruence~