Angles and Parallel Lines - Problems on Triangles - Applications

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Q. If triangle DEF is similar to triangle XYZ, and the sides of DEF are 4 cm, 6 cm, and 8 cm, what is the ratio of the sides of triangle XYZ if the shortest side is 2 cm?
  • A. 1:2
  • B. 2:3
  • C. 1:3
  • D. 2:4
Q. If two triangles have sides in the ratio 3:4, what can be said about their areas?
  • A. The areas are in the ratio 3:4.
  • B. The areas are in the ratio 9:16.
  • C. The areas are equal.
  • D. The areas are not related.
Q. In a right triangle, if one angle is 30°, what is the measure of the other non-right angle?
  • A. 30°
  • B. 45°
  • C. 60°
  • D. 90°
Q. In triangle DEF, if angle D = 30° and angle E = 70°, what is the measure of angle F?
  • A. 80°
  • B. 70°
  • C. 60°
  • D. 50°
Q. In triangle DEF, if angle D = 40° and angle E = 70°, what is angle F?
  • A. 70°
  • B. 80°
  • C. 60°
  • D. 50°
Q. What is the area of a rectangle with a length of 8 cm and a width of 3 cm?
  • A. 24 cm²
  • B. 30 cm²
  • C. 20 cm²
  • D. 18 cm²
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