Which of the following statements would you prove by the indirect method?
a) If
b) If
c) If RSTV is not a square, then
d) An
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Elementary Geometry For College Students, 7e
- Does 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_forwardIn the three-dimensional figure, CAAB and BEAB. Are CAandBE parallel to each other? Compare with Exercise 6.arrow_forwardIn Exercises 5 to 10, draw a conclusion where possible. 1. If two triangles are congruent, then the triangles are similar. 2. Triangles ABC and DEF are not congruent. C. ?arrow_forward
- In concave quadrilateral ABCD, the angle at A measures 40. ABD is isosceles, BC bisects ABD, and DC bisects ADB. What are the measures of ABC, ADC, and 1?arrow_forwardFor coplanar points A,B, and C, suppose that you have used the Distance Formula to show that AB=5,BC=10, and AC=15. What can you conclude regarding points A,B, and C?arrow_forwardGiven that mAB=106 and mDC=32, find: a m1 b m2arrow_forward
- In Exercises 25 and 26, supply the missing statements and reasons. Given: Quadrilateral PQST with midpoints A, B, C, and D of the sides Prove: ABCD is a PROOF Statements Reasons 1. Quadrilateral PQST with midpoints A, B, C, and D of the sides 1. ? 2. Draw TQ 2. Through two points, there is one line 3. ABTQinTPQ 3. The line joining the midpoints of two sides of a triangle is to the third side 4. DCTQinTSQ 4. ? 5. ABDC 5. ? 6. Draw PS 6. ? 7. ADPSinTSP 7. ? 8. BCPSinPSQ 8. ? 9. ADBC 9. ? 10. ? 10. If both pairs of opposite sides of a quadrilateral are , the quadrilateral is aarrow_forwardGiven the line AC and ray BD, suppose that BE bisects ABD and that BF bisects DBC. What type of angle is EBF?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