Geometry — Ch. 7 Review 1) Solve for x: 4x+6 = 30x-150 2 30 2 30 = x-5 2x+3 -4x+6 = -4x-150 4x+6 = 26x-150 +150+ 6 +150 156 = 26x 26 x = 6

Geometry — Ch. 7 Review 2) Solve for x: x 8 = 6 5 5x = 48 x = 9.6 8 5

Geometry — Ch. 7 Review 3) Solve for x: 11 14 16 x = 11x = 224 5 11 14 16 x = 11x = 224 x = 20.36

Geometry — Ch. 7 Review 4) Solve for x: x 5 17 8 = 8x = 85 x = 10.625 9 x x 5 17 8 = 8 5 8x = 85 x = 10.625

Geometry — Ch. 7 Review 5) Solve for x: 10 9 22 x = 10x = 198 x = 19.8

Geometry — Ch. 7 Review 6) Find the scale factor of DJKL to DPQR: 24 40 J K L 27 15 Scale factor = 15:24 Scale factor = 5:8

Geometry — Ch. 7 Review 7) The angles of a triangle are in the extended ratio 3:4:5. Find the measure of each angle: 1st angle = 3x 45° 2nd angle = 4x 60° 3rd angle = 5x 75° 3x + 4x + 5x = 180 12x = 180 x = 15

Geometry — Ch. 7 Review 8) Given: DCBS ~ DOMD. Find x & y: x 10 6 9 =

Geometry — Ch. 7 Review 9) A tree is 42 feet tall and casts a shadow 28 feet long. How tall is the other tree if its shadow is 10 feet? 42’ 28’ 42 28 x 10 = x 10’ 28x = 420 x = 15’ tall

Geometry — Ch. 7 Review 10) Tell if the triangles are similar or not. If so, explain which theorem or postulate you used: If the triangles are similar, then the sides will all be proportional… 7 9.8 11.2 10 14 16

YES, We’ve shown that he triangles are similar by using SSS~. Geometry — Ch. 7 Review 10) Tell if the triangles are similar or not. If so, explain which theorem or postulate you used: 7 9.8 11.2 10 14 16 YES, We’ve shown that he triangles are similar by using SSS~. 7 10 14 16 9.8 11.2 = .7 .7 .7