If two triangles have one pair of congruent sides and two pairs ofcorresponding proportional sides, then the triangles are similar.TrueFalse

Answered: If two triangles have one pair of…

Elementary Geometry for College Students

6th Edition

ISBN:9781285195698

Author:Daniel C. Alexander, Geralyn M. Koeberlein

Publisher:Daniel C. Alexander, Geralyn M. Koeberlein

Chapter7: Locus And Concurrence

Section7.CT: Test

Problem 8CT

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Similar questions

Is it possible to draw a triangle whose sides measure a. 8, 9, and 10? b. 8, 9, and 17? c. 8, 9, and 18?
Is it possible to draw a triangle whose angles measure a. 100, 100, and 60? b. 45, 45, and 90?
If 180A270, then A/2 terminates in which quadrant?
What is the general name of the point of concurrence for the three altitudes of a triangle?
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.
What is the acronym that is used to represent each statement? a Corresponding angles of similar triangles are congruent. b Corresponding sides of similar triangles are proportional.
Consider the square at the right, RSTV. It has four right angles and four sides of the same length. How are sides RS and ST related? How are sides RS and VT related?
A wheel has equally spaced lug bolts. What is the measure of the central angle determined by two consecutive lug bolts if there are a 5 bolts? b 6 bolts?
a Argue that the midpoint of the hypotenuse of a right triangle is equidistant from the three vertices of the triangle. Use the fact that the congruent diagonals of a rectangle bisect each other. Be sure to provide a drawing. bUse the relationship from part a to find CM, the length of the median to the hypotenuse of right ABC, in which mC=90, AC = 6, and BC = 8.
A carpenter has placed a square over an angle in such a manner that ABAC and BDCD. In the drawing, what can you conclude about the location of point D?
a What is the general name of the point of concurrence for the three perpendicular bisectors of the sides of a triangle? b What is the general name of the point of concurrence for the three medians of a triangle?
If A=30 and BD=5826 , find the measure of CD .

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If two triangles have one pair of congruent sides and two pairs of corresponding proportional sides, then the triangles are similar. O True O False