University:
East Georgia State College
Course:
MATH 1001 | Quantitative Skills & Reasoning
Academic year:

2021
Views:

350

Pages:

4
Author:

5CelestialChronicle

Geometry CP Review 5.1-5.2 MP is the midsegment of ∆LNO. Find the value of x. MP = 8 x = 8 x = 9 x = 4 In ∆DEF, EJ = JF, DK = KF, DG = GE. Copy and complete the statement. EJ || DF EJ = JF = 6K DE || JK GJ = DK = KF If KF = 4, then GJ = 4 If GK = 7, then EF = 14 Use the diagram of ∆XYZ where U, V, and W are the midpoints of the sides. If UW = 4x - 1 and YZ = 5x + 4, find UW. 2(4x - 1) = 5x + 4 8x - 2 = 5x + 4 3x = 6 x = 2 UW = 4(2) - 1 = 7 Find YV. YV = UW = 9 If WV = 6.5x - 10 and XY = 3x + 20, find XY. 2(6.5x - 10) = 3x + 20 13x - 20 = 3x + 20 10x = 40 x = 4 XY = 3(4) + 20 = 32 Use the graph shown. Find the coordinates of the endpoints of each midsegment of ∆PQR. T(5, 1), U(2, 0), S(3, 3) Use the slope and the Distance Formula to verify that the Midsegment Theorem is true for ST. Slope of ST = (1-3)/(5-3) = -2/2 = -1 PR = √((4-0)²+(-2-2)²) = √(16+16) = √32 = 4√2 ST = √((5-3)²+(1-3)²) = √(4+4) = √8 = 2√2 PR = 2 * ST ST and PR have the same slope, so they are parallel. PR is twice as long as ST. Place the figure in a coordinate plane. Assign coordinates to each vertex. A 4 unit by 7 unit rectangle with one vertex at (0, 0). (0,0) (7,0) (0,4) (7,4) A square with side length s and one vertex at (s, 0). (0,0) (s,0) (0,s) (s,s) Find the length of CD. 2x + 4 = 4x 4 = 2x 2 = x CD = 2(2) + 4 = 8 8x - 4 = 3x + 1 5x = 5 x = 1 CD = 3(1) + 1 = 4 3x + 11 = 7x + 3 8 = 4x 2 = x RS = 3(2) + 11 = 17 20. Tell whether the information in the diagram allows you to conclude that C is on the perpendicular bisector of AB. Explain 1 your reasoning. Yes! Since CA = CB. Use the diagram. DE is the perpendicular bisector of AC. Find the indicated measure. Find AB. 8(6) + 6 = 54 Find AE. 2(6) + 4(7) = 40 Find BC. 12(7) - 8 = 76 Find AC. 2(2x+4y) = 2(12+28) = 80 Find CD. 8(7) + 20 = 76 Find DG. 6(6) + 6 = 42 In the diagram, the perpendicular bisectors of ∆MNP meet at point O and are shown dashed. Find the indicated measure. Find MO. 26.8 Find PR. 26 Find QN. 20 Find MN. 40 Find SP. 22 Find MP. 22 + 22 = 44

Math Geom Review 5 Key

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