Statements Rea 1. AABC is a right triangle with altitude CD to AB. The 2. the CD 3. AD

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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Question
Statements
Reasons
1. AABC is a right triangle with altitude CD to AB.
A
D
The altitud
2.
the triangk
3.
CD
AD
Statements
Reasons
1. AABC is a right triangle with altitude CD to AB.
Reason 1: [ Select]
The altitu
2.
the triang
Statement 2: [ Select]
[Select]
Triangle CDA - Triangle CDB
Triangle CDA Triangle BDC
Triangle CDA Triangle DBC
BD
3.
CD
Reason 3:
CD
AD
Reason 1: [Select ]
[Select ]
Prove
Statement Given
tatements
AABC is a right triangle with altitude CD to AB.
Reasons
Right Triangles Theorem
The altitude to the hypotenu
the triangle into two similar
[ Select ]
BD
CD
Reason 3:
CD
AD
son 1: [Select ]
ement 2: [Select ]
son 3: [Select]
[Select]
Corresponding angle are congruent
Corresponding sides of similar triangles are congruent.
Corresponding sides of similar triangles are proportional
>
%3D
B.
Transcribed Image Text:Statements Reasons 1. AABC is a right triangle with altitude CD to AB. A D The altitud 2. the triangk 3. CD AD Statements Reasons 1. AABC is a right triangle with altitude CD to AB. Reason 1: [ Select] The altitu 2. the triang Statement 2: [ Select] [Select] Triangle CDA - Triangle CDB Triangle CDA Triangle BDC Triangle CDA Triangle DBC BD 3. CD Reason 3: CD AD Reason 1: [Select ] [Select ] Prove Statement Given tatements AABC is a right triangle with altitude CD to AB. Reasons Right Triangles Theorem The altitude to the hypotenu the triangle into two similar [ Select ] BD CD Reason 3: CD AD son 1: [Select ] ement 2: [Select ] son 3: [Select] [Select] Corresponding angle are congruent Corresponding sides of similar triangles are congruent. Corresponding sides of similar triangles are proportional > %3D B.
11. Use the given diagram to complete the proof shown below.
C
Given: AABC is a right triangle with altitude CD to AB.
BD
CD
Prove:
%3D
CD
AD
A
Statements
Reasons
1. AABC is a right triangle with altitude CD to AB.
The altitude to the hypotenuse of a right triangle divides
the triangle into two similar triangles.
2.
BD
CD
3.
CD
AD
Reason 1: [ Select]
Statement 2: [Select]
Reason 3: Sclect]
Transcribed Image Text:11. Use the given diagram to complete the proof shown below. C Given: AABC is a right triangle with altitude CD to AB. BD CD Prove: %3D CD AD A Statements Reasons 1. AABC is a right triangle with altitude CD to AB. The altitude to the hypotenuse of a right triangle divides the triangle into two similar triangles. 2. BD CD 3. CD AD Reason 1: [ Select] Statement 2: [Select] Reason 3: Sclect]
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