Exterior Angle Theorem – Triangle Inequalities @MathTeacherGon
Exterior Angle Theorem – Triangle Inequalities @MathTeacherGon Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN: 9780547587776

Author: HOLT MCDOUGAL

Publisher: HOLT MCDOUGAL

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Question Transcribed Image Text:Activity: It’s Your Turn! Direction: Write the statements and reasons in the two-column proof Exterior Angle Inequality Theorem Given: ALMN with exterior angle ZLNP Prove: ZLNP > <MLN M N.

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Of several angles, the degree measures are related in this way: mJKLmGHI the measure of the angle JKL is greater than that of angle GHI, mGHImDEF and mDEFmABC. What conclusion does the Transitive Property of Inequality allow regarding mABC and mJKL?

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Which part hypothesis or conclusion of a theorem determines the a Drawing? b Given? c Prove?

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Classify as true or false: a If the vertex angles of two isosceles triangles are congruent, the triangles are similar. b Any two equilateral triangles are similar.

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Suppose that the two angles are supplementary. Find expressions for the supplements, using the expressions provided in Exercise 28, parts a to c. For two complementary angles, find an expression for the measure of the second angle if the measure of first is: a x b (3×12) c (2x+5v)

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aIf mABmCD, write an inequality that compares mAQBmCQD. bIf QRQP, write an inequality that compares AB and CD.

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On a piece of paper, use your protractor to draw a triangle that has two angles of the same measure. Cut the triangle out of the paper and fold the triangle in half so that the angles of equal measure coincide one lies over the other. What seems to be true of two of the sides of that triangle?

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Complete an analytic proof of the following theorem: In a triangle that has sides of lengths a,b, and c, if c2=a2+b2, then the triangle is a right triangle.

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Using as few variables as possible, state the coordinates of each point if DEF is isosceles with DEF is an isosceles triangle with D(,_),E(,_),F(,_).

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Does the relation is complementary to for angles have a reflexive property consider one angle? A symmetric property consider two angles? A transitive property consider three angles?

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The following problem is based on this theorem: A median of a triangle separates it into two triangles of equal area. In the figure, RST has median RV. a Explain why ARSV=ARVT. b If ARST=40.8cm2, find ARSV.

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In the geometry of Desargues, which axiom is not true statement in Euclidean geometry? *Axiom1Axiom2Axiom3Axiom4

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Determine whether the triangles are similar. If so, what are the similarity statement and the postulate or theorem used?A) angleTRS~ angleTPQ;SAS~B) angleTRS ~ angleTPQ:SSS~C) angleTRS ~ anglePQR:SAS~D) The triangles are not similar.

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