Triangles - Properties and Congruence - Coordinate Geometry Applications

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Q. If the coordinates of the vertices of triangle ABC are A(1, 2), B(4, 6), and C(1, 6), what is the length of side AB?
  • A. 3
  • B. 4
  • C. 5
  • D. 6
Q. If the coordinates of the vertices of triangle PQR are P(1, 2), Q(4, 6), and R(1, 6), what is the length of side PQ?
  • A. 3
  • B. 4
  • C. 5
  • D. 6
Q. If two triangles are congruent, which of the following must be true?
  • A. They have the same area
  • B. They have the same perimeter
  • C. Their corresponding sides are equal
  • D. All of the above
Q. In triangle XYZ, if XY = 5 cm, YZ = 12 cm, and XZ = 13 cm, is triangle XYZ a right triangle?
  • A. Yes
  • B. No
  • C. Not enough information
  • D. Only if XY is the longest side
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