ACTIVITY 1: PROVING Triangle Angle Bisector Theorem (TABT) Illustration If: HD bisects 2AHE, DA AH Then: Then: DE EH Notice: that sides on the numerators are adjacent. The same is true with the denominators. Proof Prove DA AH DE EH Proof Extend AH to P such that EP HD. Given HD bisects ZAHE Statements Reasons No. Hints List down the given What happens to the bisected 2. ZAHE? Definition of angle bisector What can you say about 3. HD and EP? By What can you conclude about ZADH & L DEP and 21& L4? Corresponding angles are 4. congruent.

Algebra and Trigonometry (6th Edition)
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ISBN:9780134463216
Author:Robert F. Blitzer
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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
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Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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ACTIVITY 1: PROVING Triangle Angle Bisector Theorem (TABT)
Illustration.
If:
HD bisects AHE,
HV Va
EH
Then:
Then: DE
Notice: that sides on the numerators
are adjacent. The same is true with the
E
denominators.
Proof
Prove
DA
AH
DE
EH
Proof
Extend AH to P such that
EP || HD
Given
HD bisects 2AHE
Hints
Statements
Reasons
No.
List down the given
What happens to the bisected
2.
ZAHE?
Definition of angle bisector
What can you say about
3
HD and EP?
By
What can you conclude
Corresponding angles are
4.
about ZADH & ZDEP and
congruent.
L1 & 24?
Transcribed Image Text:ACTIVITY 1: PROVING Triangle Angle Bisector Theorem (TABT) Illustration. If: HD bisects AHE, HV Va EH Then: Then: DE Notice: that sides on the numerators are adjacent. The same is true with the E denominators. Proof Prove DA AH DE EH Proof Extend AH to P such that EP || HD Given HD bisects 2AHE Hints Statements Reasons No. List down the given What happens to the bisected 2. ZAHE? Definition of angle bisector What can you say about 3 HD and EP? By What can you conclude Corresponding angles are 4. about ZADH & ZDEP and congruent. L1 & 24?
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