Triangles - Properties and Congruence - Problems on Triangles

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Q. If triangle ABC is congruent to triangle DEF, which of the following is true?
  • A. AB = DE
  • B. AC = DF
  • C. BC = EF
  • D. All of the above
Q. If triangle ABC is similar to triangle DEF with a scale factor of 2, and the area of triangle ABC is 50 cm², what is the area of triangle DEF?
  • A. 100 cm²
  • B. 200 cm²
  • C. 150 cm²
  • D. 250 cm²
Q. In triangle GHI, if GH = 7 cm, HI = 24 cm, and GI = 25 cm, is triangle GHI a right triangle?
  • A. Yes
  • B. No
  • C. Not enough information
  • D. Only if angle G is 90 degrees
Q. In triangle PQR, if angle P = 45 degrees and angle Q = 45 degrees, what is the type of triangle?
  • A. Scalene
  • B. Isosceles
  • C. Equilateral
  • D. Right
Q. In triangle XYZ, if XY = 8 cm, YZ = 6 cm, and XZ = 10 cm, what type of triangle is it?
  • A. Equilateral
  • B. Isosceles
  • C. Scalene
  • D. Right
Q. What is the perimeter of an equilateral triangle with a side length of 4 cm?
  • A. 12 cm
  • B. 16 cm
  • C. 10 cm
  • D. 8 cm
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