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Trapezoids
  • 1. Which of the following statements best describes a trapezoid?
A) A parallelogram with four right angles.
B) A quadrilateral with exactly one pair of parallel sides.
C) A polygon with four equal sides.
D) A quadrilateral with two pairs of parallel sides.
  • 2. In an isosceles trapezoid, which parts are always congruent (equal in length/measure)?
A) The bases and the legs
B) All four interior angles
C) The legs, base angles, and diagonals
D) The bases only
  • 3. If ∠A and ∠D are consecutive angles sharing a non-parallel side (leg) in a trapezoid, what is their relationship?
A) They have no fixed relationship.
B) They are supplementary ∠A + ∠ D = 180°.
C) They are complementary ∠A + ∠D = 90°.
D) They are congruent ∠A≅∠D.
  • 4. What is the correct order of the 4-Step Formula when solving trapezoid problems?
A) Choose Property ➔ Identify Given ➔ Check ➔ Solve Equation
B) Identify Given ➔ Choose Property ➔ Set Up & Solve Equation ➔ Check & Verify
C) Solve Equation ➔ Choose Property ➔ Identify Given ➔ Check
D) Check ➔ Set Up Equation ➔ Identify Given ➔ Choose Property
  • 5. In isosceles trapezoid MATH, MA || TH. If m∠H = 75°, what is the measure of its opposite base angle m∠T?
A) 180°
B) 75°
C) 105°
D) 15°
  • 6. In isosceles trapezoid BEST, BE || TS. If m∠B = 110°, what is the measure of the consecutive angle m∠T?
A) 80°
B) 110°
C) 70°
D) 90°
  • 7. An isosceles trapezoid has legs measuring (3x + 5) cm and (x + 13) cm. What is the value of x?
A) x = 8
B) x = 4
C) x = 2
D) x = 6
  • 8. Using the value of x In Item 7, what is the length of each leg?
A) 17 cm
B) 15 cm
C) 19 cm
D) 21 cm
  • 9. The diagonals of an isosceles trapezoid measure (5x – 8) inches and (2x + 10) inches. Find x and the length of each diagonal.
A) x = 8; Diagonal = 26 in
B) x = 4; Diagonal = 12 in
C) x = 5; Diagonal = 17 in
D) x = 6; Diagonal = 22 in
  • 10. In trapezoid ABCD, AB || DC, m∠D = (3x + 10)° and m∠A = (2x + 20)°. Since ∠D and ∠A are consecutive interior angles sharing leg AD, find and the measure of ∠D.
A) x = 35; m∠D = 115°
B) x = 20; m∠D = 70°
C) x = 25; m∠D = 85°
D) x = 30; m∠D = 100°
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