Multiple Choice Questions

Consider the incomplete paragraph proof.Given: Isosceles right triangle XYZ (45°-45°-90° triangle)Prove: In a 45°-45°-90° triangle, the hypotenuse is times the length of each leg.Because triangle XYZ is a right triangle, the side lengths must satisfy the Pythagorean theorem, a2 + b2 = c2, which in this isosceles triangle becomes a2 + a2 = cBy combining like terms, 2a2 = c2.Which final step will prove that the length of the hypotenuse, c, is times the length of each leg?
  • x43x
  • B
  • C
  • D
The roof of a house is the shape of an isosceles right triangle as shown in the diagram below. What is the height of the roof, h?
  • B. 5\(2 ft
  • B. 5\(3/3 ft
  • B. 12\(2 in.
  • D. 14\(2 cm
The height of trapezoid VWXZ is units. The upper base,VW, measures 10 units. Use the 30°-60°-90° triangle theorem to find the length of YX. What is the length of the lower base, ZX?
  • D
  • B
  • C
  • AC
Consider triangle QRS. The legs each have a length of 10 units. What is the length of the hypotenuse of the triangle?
  • C
  • x43x
  • B
  • D
The hypotenuse of a 45°-45°-90° triangle measures 24 inches. What is the length of the one leg of the triangle?
  • D. 14\(2 cm
  • B. 12\(2 in.
  • D
  • B. 5\(2 ft
A wall in Maria's bedroom is in the shape of a trapezoid. The wall can be divided into a rectangle and a triangle. Using the 45°-45°-90° triangle theorem, find the value of h, the height of the wall.
  • B
  • A. The distance from the man's feet to the base of the monument is 185\(3 feet.B. The distance from the man's feet to the top of the monument is 370\(3 feet.
  • C
  • D
What are the angle measures in triangle ABC?
  • B. 12\(2 in.
  • C. DC=6\(3 in.D. AC=12\(3 in.
  • C. m∠A = 90°, m∠B = 60°, m∠C = 30°
  • D. 14\(2 cm
A person is standing exactly 36 ft from a telephone pole. There is a 30° angle of elevation from the ground to the top of the pole. What is the height of the pole?
  • C
  • 90
  • B
  • D
A man is standing near the Washington Monument. At a 60° angle of elevation from the ground, the man sees the top of the 555-foot monument. Which measurements are accurate based on the scenario? Check all that apply.
  • A. The distance from the man's feet to the base of the monument is 185\(3 feet.B. The distance from the man's feet to the top of the monument is 370\(3 feet.
  • B. 5\(3/3 ft
  • C
  • C. DC=6\(3 in.D. AC=12\(3 in.
Each leg of a 45°-45°-90° triangle measures14 cm. What is the length of the hypotenuse?
  • B. 5\(3/3 ft
  • B. 12\(2 in.
  • D. 14\(2 cm
  • B. 5\(2 ft
From the side view, a gymnastics mat forms a right triangle with other angles measuring 60° and 30°. The gymnastics mat extends 5 feet across the floor. How high is the mat off the ground?
  • B. 12\(2 in.
  • B. 5\(2 ft
  • D. 14\(2 cm
  • B. 5\(3/3 ft
Consider triangle PQR. What is the length of side QR?
  • D
  • AC
  • B
  • C
A baseball field is in the shape of a square. The distance between each pair of bases along the edge of the square is 90 feet. What is the distance between home plate and second base?_________ \(2 feet
  • AC
  • C
  • 90
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The hypotenuse of a 45°-45°-90° triangle measures 18 cm. What is the length of one leg of the triangle?
  • C
  • B. 12\(2 in.
  • D
  • AC
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Multiple Choice Questions
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