9. Given: ABCD is a rectangle and Complete the following proof. Statements 1. ABCD is a rectangle and Q 1. Given is the midpoint of CD. Reasons Q is the midpoint of CD. Prove: AQ BQ 2. DQ = QC 2. 3. In a rectangle, opposite sides are congruent. A, D. 3. 4. ZD ZC 5. SAS 6. 5. 6. AQ = BQ C B

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
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9.
Given: ABCD is a rectangle and
Q is the midpoint of CD.
Complete the following proof.
Statements
1. ABCD is a rectangle and Q 1. Given
is the midpoint of CD.
Reasons
Prove: AQ = BQ
2. DQ = QC
2.
3. In a rectangle, opposite
sides are congruent.
A,
D.
3.
4. ZD = LC
5. SAS
5.
6. AQ = BQ
6.
C
Transcribed Image Text:9. Given: ABCD is a rectangle and Q is the midpoint of CD. Complete the following proof. Statements 1. ABCD is a rectangle and Q 1. Given is the midpoint of CD. Reasons Prove: AQ = BQ 2. DQ = QC 2. 3. In a rectangle, opposite sides are congruent. A, D. 3. 4. ZD = LC 5. SAS 5. 6. AQ = BQ 6. C
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