One figure is similar to a second figure if the points of the first figure can be matched with the points of the second figure in such a way that corresponding distances are proportional. In other words, there is a number m - the ratio of similarity-with the following property: If A and B are any two points whatsoever of the first figure, and A' and B' are their corresponding images in the second figure, then the distance from A' to B' is m times the distance from A to B. When triangle ABC is similar to triangle PQR, with A, B, and C corresponding to P, Q, and R, respectively, it is customary to write ABC ~ PQR. Suppose that AB = 4, BC = 5, CA = 6, and RP = 9. Find PQ and QR.

One figure is similar to a second figure if the points of the first figure can be matched with the points of the second figure in such a way that corresponding distances are proportional. In other words, there is a number m - the ratio of similarity-with the following property: If A and B are any two points whatsoever of the first figure, and A' and B' are their corresponding images in the second figure, then the distance from A' to B' is m times the distance from A to B. When triangle ABC is similar to triangle PQR, with A, B, and C corresponding to P, Q, and R, respectively, it is customary to write ABC ~ PQR. Suppose that AB = 4, BC = 5, CA = 6, and RP = 9. Find PQ and QR.

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

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