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Elementary Geometry For College Students, 7e
- Find the area of ABC In Exercise 35, but assume that C is the reflection of B across the y-axis.arrow_forwardComplete 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_forwardGiven: RST, with XYRT and YZRS Prove: RXXS=ZTRZarrow_forward
- The triangle that has vertices at M-4,0,N3,-1,andQ2,4 has been boxed in, as shown. Find the area of MNQ. Exercises 33, 34.arrow_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_forwardFor compactness, the drop-down wheels of a stretcher or gurney are folded under it as shown. In order for the boards upper surface to be parallel to the ground when the wheels are dropped, what relationship must exist between AB and CD?arrow_forward
- Given: Tangents AB,BC,andACtoO at points M, N, and P, respectively. AB=14,BC=16,AC=12 Find: AM, PC, and BNarrow_forwardGiven: Equiangular RST Prove: RV bisects SRT RVS is a rightarrow_forwardIn MNP for Exercise 29, medians MB, NA and PC intersect at centroid Q. a Find QB If MQ=8.2. b Find PQ if QC=72. c. Find AN if AQ=4.6 Exercises 27, 28arrow_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_forwardIn the figure shown, CD bisects AB at point M so that AM=MB. Is it correct to conclude that CM=MD?arrow_forwardProve by the indirect method: Given: Scalene XYZ in which ZW bisects XZY point W lies on XY. Prove: ZW is not perpendicular to XYarrow_forward
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