Elementary Geometry for College Students
6th Edition
ISBN: 9781285195698
Author: Daniel C. Alexander, Geralyn M. Koeberlein
Publisher: Cengage Learning
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Textbook Question
Chapter 2.CT, Problem 5CT
Let all of the lines named be coplanar. Make a drawing to reach a conclusion. a) If b) If |
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- Consider noncoplanar points A, B, C, and D. Using three points at a time such as A, B, and C, how many planes are determined by these points?arrow_forwardLine l is parallel to plane P that is, it will not intersect P even if extended. Line m intersects line l.What can you conclude about m and P?arrow_forwardThe Segment-Addition Postulate can be generalized as follows: The length of a line segment equals the sum of the length of its parts. State a general conclusion regarding AE based on the following figure.arrow_forward
- In Exercises 39 and 42, refer to the line segments shown. Use the following theorem to construct a triangle similar to the given triangle but with sides that are twice the length of those of the given triangle. Theorem: If the lengths of the three pairs of sides for two triangles are in proportion, then those triangles are similar SSS.arrow_forwardIn Exercises 27-30, use the definition of a parallelogram to Complete each proof. Given: WX-ZY- and s Z and Y are supplementary Prove: WXYZ is a parallelogram PROOF Statements Reasons 1. WX-ZY- 1.? 2.? 2.Given 3.? 3.If two lines are cut by a transversal so that interior s on the same side of the transversal are supplementary, these lines are 4.? 4.If both pairs of opposite side of a quadrilateral are , the quadrilateral is aarrow_forwardDoes it follow from Exercise 30 that ADE is also congruent to CBE? What can you conclude regarding AE and CE in the drawing? What can you conclude regarding DEandBE?arrow_forward
- In the three-dimensional figure, CAAB and BEAB. Are CAandBE parallel to each other? Compare with Exercise 6.arrow_forwardLet A, B, and C lie on a straight line as shown near Exercise 8. Classify these claims as true or false. a B lies between A and C. b AB is a ray with endpoint B.arrow_forwarda Is it really necessary to construct all three bisectors of the angles of a triangle to locate its incenter? b Is it really necessary to construct all three perpendicular bisectors of the sides of a triangle to locate its circumcenter?arrow_forward
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