Review Exercises
In trapezoid
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Elementary Geometry For College Students, 7e
- Complete an analytic proof of the following theorem: In a triangle that has sides of lengths a,b, and c, if c2=a2+b2, then the triangle is a right triangle. Exercises 34. 35arrow_forwardIn isosceles trapezoid WXYZ with bases ZY and WX, ZY = 8, YX = 10 and WX = 20. Find height h the length of ZD or YE. Exercises 19, 20arrow_forwardReview Exercises Given: TWX is an isosceles, with base WX- RY-WX- Prove: RWXY is an isoscels trapezoidarrow_forward
- Prove the statements in Review Exercises 32 to 36 using analytic geometry. If the diagonals of a trapezoid are equal in length, then the trapezoid is an isosceles trapezoid.arrow_forwardIn these exercises we find the area of plane figures. Plot the points P(5,1),Q(0,6) and R(5,1) on a coordinate plane. Where must the point S be located so that the quadrilateral PQRS is a square? Find the area of this square.arrow_forwardReview Exercises In Review Exercises 22 to 24, M and N are the midpoints of FJ- and FH- respectively. Given: MN=x2+6 JH=2xx+2 Prove: x,MN,JHarrow_forward
- Complete an analytic proof of the following theorem: In a triangle that has sides of lengths a,b, and c, if c2=a2+b2, then the triangle is a right triangle.arrow_forwardFor compactness, the drop-down legs of an ironing board fold up under the board. A sliding mechanism at point A and the legs being connected at common midpoint M cause the boards upper surface to be parallel to the floor. How are AB and CD related?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_forward
- In each of the following exercises a diagonal is shown within a rectangular solid a. Compute the true length of diagonal AB. b. Compute CAB. Given: H=0.800 in. L=1.400 in. W=1.000 in. Use this figure for Exercises 11 and 12arrow_forwardWhich part hypothesis or conclusion of a theorem determines the a Drawing? b Given? c Prove?arrow_forwardIn trapezoid WXYZ with bases ZY and WX, ZY = 12, YX = 10, WZ = 17, and ZD = 8. Find the length of base WX. Exercises 19, 20arrow_forward
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