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Isosceles Triangle

Isosceles Triangle. B. x. D. 30 . 50 . C. A. In the figure above, DA = DB = DC. What is the value of x ? (A) 10 (B) 20 (C) 30 (D) 40 (E) 50. 30-60-90 Triangle. K. 60 . 30 . J. L. In  JKL shown above, what is the length of segment JL? (1) JK = 10 (2) KL = 5.

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Isosceles Triangle

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  1. Isosceles Triangle B x D 30 50 C A In the figure above, DA = DB = DC. What is the value of x ? (A) 10 (B) 20 (C) 30 (D) 40 (E) 50

  2. 30-60-90 Triangle K 60 30 J L In  JKL shown above, what is the length of segment JL? (1) JK = 10 (2) KL = 5

  3. 45-45-90 Triangle S U 45 60 V T R In the figure above, segments RS and TU represent two positions of the same ladder leaning against the side SV of a wall. The length TV is how much greater than the length of RV? (1) The length of TU is 10 meters (2) The length of RV is 5 meters

  4. Similar Triangle 1 C B x A In the figure above, line AC represents a seesaw that is touching level ground at point A. If B is the midpoint of AC, how far above the ground is point C ? (1) x = 30 (2) Point B is 5 feet above the ground.

  5. Similar Triangle 2 In PQS to the right, if PQ = 3 and PS = 4, then PR = (A) 9/4 (B) 12/5 (C) 16/5 (D) 15/4 (E) 20/3 Q R 3 S P 4

  6. Area Rectangle x x x x 50 cm x x x x 84 cm The figure above represents a rectangular desk blotter in a holder with dimensions shown. If x = 8 centimeters, what is the area, in square centimeters, of the shaded portion of the blotter? (A) 4200 (D) 4072 (B) 4184 (E) 3944 (C) 4124

  7. Area Circle 1 The figure above represents the floor of a square foyer with a circular rug partially covering the floor and extending to the outer edges of the floor as shown. What is the are of the foyer that is not covered by the rug? (1) The area of the foyer is 9 square meters. (2) The area of the rug is 2.25 square meters.

  8. Area Circle 2 If the circumference of a circular region is c, which of the following represents the area of that circular region? (A) (D) (B) (E) (C)

  9. Area Circle 3 30 m 40 m The figure above represents a rectangular parking lot that is 30 meters by 40 meters and an attached semicircular driveway that has an outer radius of 20 meters and an inner radius of 10 m. If the shaded region is not included, what is the area, in square meters, of the lot and driveway? (A) 1350 (C) 1200 + 300  (E) 1200 + 150  (B) 1200 + 400  (D) 1200 + 200 

  10. Perimeter Cone The outline of a sign of an ice-cream store is made by placing 3/4 of the circumference of a circle with radius 2 ft on top of an isosceles triangle with height 5 feet, as shown to the right. What is the perimeter, in feet of the sign? (A) (B) (C) (D) (E) 5 ft

  11. y S (a,b) x O T (c,0) R (1,0) Coordinate Geometry In the rectangular coordinate system to the right, the area of RST is (A) bc/2 (B) b(c - 1)/2 (C) c(b -1)/2 (D) a(c - 1)/2 (E) c(a -1)/2

  12. y Q(c, d) x P(a, b) R Coordinate Geometry In the figure on the right, segments PR and QR are each parallel to one of the rectangular coordinate axis. Is the ratio of the length of QR to the length of PR equal to 1? (1) c = 3 and d = 4. (2) a = -2 and b = -1

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