Concept explainers
Exercises
In the “box” shown for Exercise 38, use intuition to answer each question.
a) Are
b) Are
c) Are
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Elementary Geometry for College Students
- Exercises 3940 In the box shown for Exercise 38, use intuition to answer each question. a Are AG and BC skew line segments? b Are AG and BC congruent line segments? c Are GF and DC parallel?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_forwardIn Review Exercises 7 and 8, state the hypothesis and conclusion for each statement. The diagonals of a parallelogram are congruent if the parallelogram is a rectangle.arrow_forward
- In the three-dimensional figure, CAAB and BEAB. Are CAandBE parallel to each other? Compare with Exercise 6.arrow_forwardIn Exercises 27-30, use the definition of a parallelogram to complete each proof. Given:RS-VT-, RV-VT-, and ST-VT- Prove: RSTV is a parallelogram PROOF Statements Reasons 1. RS-VT- 1.? 2.? 2.Given 3.? 3.If two lines are to the same line, they are , to each other 4.? 4.If both pairs of opposite side of a quadrilateral are , the quadrilateral is aarrow_forwardIn Review Exercises 7 and 8, state the hypothesis and conclusion for each statement. If the diagonals of a trapezoid are equal in length, then the trapezoid is isosceles.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 11 to 18, state the hypothesis and the conclusion of each statement. If the diagonals of a parallelogram are perpendicular, then the parallelogram is a rhombus.arrow_forwardIn Exercises 31 to 33, give a formal proof for each theorem. If two lines are cut by a transversal so that a pair of exterior angles on the same side of the transversal are supplementary, then these lines are parallel.arrow_forward
- In Exercise 33, provide a two-column proof. Given:ABDF,BDFG Prove:ABCEFGarrow_forwardIn Exercises 1 to 6, l and m are cut by transversal v. On the basis of the information given, determine whether l must be parallel to m. m2=65 and m7=65arrow_forwardIn triangle ABC, line t is drawn through vertex A in such a way that tBC. aWhich pairs of s are ? bWhat is the sum of m1, m4, and m5 ? cWhat is the sum of measures of the s of ABC ?arrow_forward
- Elementary Geometry For College Students, 7eGeometryISBN:9781337614085Author:Alexander, Daniel C.; Koeberlein, Geralyn M.Publisher:Cengage,Elementary Geometry for College StudentsGeometryISBN:9781285195698Author:Daniel C. Alexander, Geralyn M. KoeberleinPublisher:Cengage Learning