GRADE 9- Learning Module in MathematictWhat Can you conclude albout22& 23?Alternate interior angles arecongruent.What can you say about23& L4 based onstatements 2. 4. and 5tTransitive PropertyWhat kind of triangle isAHEP based on statement 6fBase angles of isoscelestriangles are congruent.AHEPis8.What can you say about theDefinition of isosceles trianglessides opposite 24 & Z3What can you say aboutAAIDA AAPE usingAA Sinilarity Theoremstatement 4?Lising statement 3, writethe proportional lengths ofAAPE10Definition of Similar PolygonsAEAllADUse Segment AdditionPostulate for AP and AESegment Addition Postulate11Al + APAD+ DEInversion Property ofProportionUse Inversion Property of12Proportion statement 11.IPADDEDecompose the fractions in13Principles in the operations offractionsAHAHADADstatement 12 and simplify.DEHP+]AIHLADSubtraction Property of14Simplify statement 13.EqualityUse statement 8 in statementSubstitution1514.Symmetric Property ofEqualityInversion Property ofProportionUse symmetric Property in16statement 15.Use Inversion Property in17statement 16.un 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?

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ACTIVITY 1: PROVING Triangle Angle Bisector Theorem (TABT) Illustration If: HD bisects AHE, DA AH Then: Then: DE EH Notice: that sides on the numerators are adjacent. The same is true with the denominators. E Proof Prove DA AH DE EH Proof Extend AH to P such that EP | HD. Given A. HD bisects 2 AHE Statements Reasons No. Hints List down the given What happens to the bisected 2. ZAHE? Definition of angle bisector What can you say about HD and EP? By What can you conclude about LADH & Z DEP and Z1& L4? Corresponding angles are congruent. 4.

ACTIVITY 1: PROVING Triangle Angle Bisector Theorem (TABT) Illustration If: HD bisects AHE, DA AH Then: Then: DE EH Notice: that sides on the numerators are adjacent. The same is true with the denominators. E Proof Prove DA AH DE EH Proof Extend AH to P such that EP | HD. Given A. HD bisects 2 AHE Statements Reasons No. Hints List down the given What happens to the bisected 2. ZAHE? Definition of angle bisector What can you say about HD and EP? By What can you conclude about LADH & Z DEP and Z1& L4? Corresponding angles are congruent. 4.

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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