Given: ABCD is a parallelogram that is a rectangle.Prove: The diagonals are congruentI need to complete the proof with the following reasons belowConstruction - Two points determine exactly one line. ASACPCTCDefinition of rectangleGiven StatementsReasonsABCD is a parallelogram that is a rectangle.18. GIvenSegment CD ≅ Segment AB, Segment AC ≅ Segment DB19.∠A ≅ ∠B ≅ ∠C ≅ ∠D20.Draw segment AD, Draw Segment BC21. Construction - Two points determine exactly one line. ΔABD ≅ ΔCDB22. Segment CB ≅ Segment AD23.

Name: Given: ABCD is a parallelogram that is a rectangle.Prove: The diagon
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Description: Given: ABCD is a parallelogram that is a rectangle.Prove: The diagonals are congruentI need to complete the proof with the following reasons belowConstruction - Two points determine exactly one line. ASACPCTCDefinition of rectangleGiven Statements

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Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

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	Given: ABCD is a parallelogram that is a rectangle.
Prove: The diagonals are congruent

I need to complete the proof with the following reasons below

Construction - Two points determine exactly one line.
ASA
CPCTC
Definition of rectangle
Given

Statements	Reasons
ABCD is a parallelogram that is a rectangle.	18. GIven
Segment CD ≅ Segment AB, Segment AC ≅ Segment DB	19.
∠A ≅ ∠B ≅ ∠C ≅ ∠D	20.
Draw segment AD, Draw Segment BC	21. Construction - Two points determine exactly one line.
ΔABD ≅ ΔCDB	22.
Segment CB ≅ Segment AD	23.

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