8.4 Proportionality Theorems with answers

1 Proportionality Theorems with Proportionality TheoremsRefer to Section 8 4 (pg 446) for additional Proportionality Theorems with answersTriangle Proportionality theorem If a line is parallel to a side of a triangle and intersects the other two sides, then it divides those sides proportionally. AEFBCIF:Then:AE = AFEB FC Hint: drag ratio to the triangle to find proportion. Proportionality Theorems with answersCurrent Old Cable BridgeBAEDCNew Bridge200 ft400 ft150 ft250 ftApplication: Justin uses triangles to find the distance across the Trinity river.

2 He makes the diagram below. Which triangles appear to be similar? What must Justin know about these triangles to conclude that they are similar? What is the distance of the new bridge? Proportionality Theorems with answersABDCT riangle Angle Bisector theorem An angle bisector of a triangle divides the opposite side into two segments whose lengths are proportional to the lengths of the other two :BD = ABDC ACHint: drag ratio to the triangle to find proportion. Proportionality Theorems with answersX = 3 Hint: move triangle to check you answer.

3 Practice: Solve for x if SV is an angle Proportionality Theorems with answersPractice: If AC is twice as long as AB, what is the length of DC? cmF. cmG. cmH. 5 cm CorrectJ. 15 cmHint: Move answers to triangle to check Proportionality Theorems with answersTwo-Transversal Proportionality : If 3 or more parallel lines intersect two transversals, they cut off the transversals : ACEBDFThen:AC = BDCE DFHint: drag the ratio to the box to find proportion. Proportionality Theorems with answersApplication: Suppose that an artist decided to make a larger sketch of the trees.

4 In the figure, if AB = in., BC = in., CD = in., and KL = in., find LM and MN to the nearest tenth of an inch. Proportionality Theorems with answers4x2y 5y3x+3 PullPullPractice: Solve for x and Proportionality Theorems with answersHW: pg. 450: 3, 5, 13, 15, 17, 21, 23, 25, 41 Proportionality Theorems with answersDAY TWO Warm up: RQMPNX1061 + xWhat is the measure of MN? Answer: MN = Proportionality Theorems with answersy = 18CD = 2y2 EIn the diagram below, a metal support brace is added to stabilize a metal triangle.

5 The metal brace is parallel to the base and divides the left side into a and 8-foot section. Find the length of the answer by moving the Proportionality Theorems with answersApplication1. The perimeter of triangle ABC is 29 m. AD bisects angle A. Find AB and m5 mD2. Given that DE II BC, XY ll AD. Find Proportionality Theorems with answersPractice WSTest FridayHW due Thursday includes: pg. 423 pg. 431 pg. 441 pg. 450 WS Test Review Proportionality Theorems with answersQuizziz Grade22 QuestionsWhen done pick up your test review and check your entry ticket from yesterday online.

6 Tomorrow, CHROMEBOOK Quizlet Live, go over test review, and homework due! Proportionality Theorems with answers1) Get out Test Review to go over it and ask ) Homework due in folder! Including this test ) Quizlet Live on Chromebook!4) Test Tomorrow! Proportionality Theorems with Proportionality Theorems with Proportionality Theorems with Proportionality Theorems with Proportionality Theorems with Proportionality Theorems with Proportionality Theorems with Proportionality Theorems with Proportionality Theorems with Proportionality Theorems with Proportionality Theorems with Proportionality Theorems with Proportionality Theorems with answers1) Get out Test Review to go over it and ask ) Homework due in folder!

7 Including this test ) Quizlet Live on Chromebook!4) Test Tomorrow! triangle Proportionality triangle angle two transversal Proportionality