ACTIVITY 1: PROVING Triangle Angle Bisector Theorem (TABT)Illustration.If:HD bisects AHE,HV VaEHThen:Then: DENotice: that sides on the numeratorsare adjacent. The same is true with theEdenominators.ProofProveDAAHDEEHProofExtend AH to P such thatEP || HDGivenHD bisects 2AHEHintsStatementsReasonsNo.List down the givenWhat happens to the bisected2.ZAHE?Definition of angle bisectorWhat can you say about3HD and EP?ByWhat can you concludeCorresponding angles are4.about ZADH & ZDEP andcongruent.L1 & 24?

Statements Reasons Given triangle AHE; HD bisects angle AHE 1. Given 2. An angle…

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.

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)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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Concept explainers

Ratios

A ratio is a comparison between two numbers of the same kind. It represents how many times one number contains another. It also represents how small or large one number is compared to the other.

Trigonometric Ratios

Trigonometric ratios give values of trigonometric functions. It always deals with triangles that have one angle measuring 90 degrees. These triangles are right-angled. We take the ratio of sides of these triangles.

Question

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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