A: HLB: AA~C: SSS ~D: SAS ~ MULTIPLE CHOICEQuestion 9What is the reason for the statement in step 9?Given: Bis a point on AC and ZD, ZE, and ZDBE are right angles.Prove: Δ ADB ~ Δ BECEDAStatementsPoint B is on ACBReasonsC StatementsPoint Bison AC1.ZD, ZE, and /DRE are right angles2.m/D-m/E-m/DBE-90°MZA+MZD+m/ABD=180°m/C+m/E+m/CBE=180°3.4. m/ABD+ m/DBE m/CBF-180°m/A+90° +m/ABD-180°5. m/C+90°+m/CBE-180°m/ABD+90°+m/CBE-180°MZA+MZABD-90°6.m/C+mZCBE-90°M_ABD+MZCBE-907.Z4 and ZABD are complementaryLC and ZCBE are complementaryZABD and ZCBE are complementaryZA ZCBE8.ZC=ZABD9.AADB-ABECA HLB AA~CSSS ~ReasonsGivenDefinition of right angleSubstitutionSubtraction property of equalityDefinition of complementary

Answered: What is the reason for the statement in…

What is the reason for the statement in step 9? Given: Bis a point on AC and ZD, ZE, and ZDBE are right angles. Prove: AADB~ ABEC E A B C

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

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

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

Chapter1: Line And Angle Relationships

Section1.2: Angles And Their Relationships

Problem 29E: Suppose that the two angles are supplementary. Find expressions for the supplements, using the...

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Question

A: HL

B: AA~

C: SSS ~

D: SAS ~

MULTIPLE CHOICE
Question 9
What is the reason for the statement in step 9?
Given: Bis a point on AC and ZD, ZE, and ZDBE are right angles.
Prove: Δ ADB ~ Δ BEC
E
D
A
Statements
Point B is on AC
B
Reasons
C

Statements
Point Bison AC
1.
ZD, ZE, and /DRE are right angles
2.
m/D-m/E-m/DBE-90°
MZA+MZD+m/ABD=180°
m/C+m/E+m/CBE=180°
3.
4. m/ABD+ m/DBE m/CBF-180°
m/A+90° +m/ABD-180°
5. m/C+90°+m/CBE-180°
m/ABD+90°+m/CBE-180°
MZA+MZABD-90°
6.
m/C+mZCBE-90°
M_ABD+MZCBE-90
7.
Z4 and ZABD are complementary
LC and ZCBE are complementary
ZABD and ZCBE are complementary
ZA ZCBE
8.
ZC=ZABD
9.
AADB-ABEC
A HL
B AA~
C
SSS ~
Reasons
Given
Definition of right angle
Substitution
Subtraction property of equality
Definition of complementary

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