Which of the following statements would you prove by the indirect method?
a) In
b) If alternate exterior
c) If
d) If two sides of a triangle are congruent, the two
e) The perpendicular bisector of a line segment is unique.
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Chapter 2 Solutions
Elementary Geometry for College Students
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- Show that there is no triangle for which a=4 feet, b=14 feet, and A=60.arrow_forwarda 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.arrow_forwardThe point mid ay between (a, b) and (c, d) _____________. So the point midway between (1, 2) and (7, 10) is ___________.arrow_forward
- 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 (3x12) c (2x+5v)arrow_forwardGiven: l1l2l3,AB=4,BC=5,DE=x,EF=12x Find: x,DE,EFarrow_forwardFor the 30-60-90 triangle shown, suppose that XY=2a. Find: a XZ b YZarrow_forward
- What type of trapezoid a has congruent diagonals. b has congruent base angles.arrow_forwardProve that the altitude drawn to the hypotenuse of a right triangle separates the right triangle into two right triangles that are similar to each other and to the original right triangle.arrow_forwardWhich of the following statements would you prove by the indirect method? a If ACAB in ABC, then mBmC. b If AC=AB in ABC, then mB=mC. c If RSTV is not a square, then RSST. d An angle has exactly one bisector.arrow_forward
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