Triangles - Properties and Congruence - Coordinate Geometry Applications - Case Studies

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Q. If the coordinates of points A, B, and C are (1, 2), (4, 6), and (7, 2) respectively, what is the area of triangle ABC?
  • A. 12
  • B. 10
  • C. 14
  • D. 8
Q. If triangle XYZ is congruent to triangle PQR, which of the following statements is true?
  • A. XY = PQ
  • B. YZ = QR
  • C. XZ = PR
  • D. All of the above
Q. If triangle XYZ is similar to triangle ABC and the ratio of their corresponding sides is 2:3, what is the ratio of their areas?
  • A. 4:9
  • B. 2:3
  • C. 1:2
  • D. 3:2
Q. In triangle ABC, if AB = AC and angle A = 40 degrees, what is the measure of angles B and C?
  • A. 70 degrees each
  • B. 80 degrees each
  • C. 60 degrees each
  • D. 50 degrees each
Q. What is the length of the altitude from vertex A to side BC in triangle ABC with base BC = 12 cm and area = 36 cm²?
  • A. 6 cm
  • B. 4 cm
  • C. 3 cm
  • D. 5 cm
Q. What is the perimeter of a triangle with sides measuring 8 cm, 6 cm, and 10 cm?
  • A. 24 cm
  • B. 26 cm
  • C. 20 cm
  • D. 22 cm
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