- 1. Which statement can be used to prove that two lines are parallel when they are intersected by a transversal?
A) The lines have different slopes.
B) The lines have different lengths.
C) The angles overlap completely.
D) The corresponding angles are congruent.
- 2. Two lines that meet at a right angle are described as what type of lines?
.
A) Perpendicular
B) Parallel
C) Intersecting but not perpendicular
D) Coincident
- 3. Which quadrilateral has exactly one pair of parallel sides?
A) Rhombus
B) Square
C) Trapezoid
D) Rectangle
- 4. A quadrilateral whose four sides are congruent is called a ________.
A) Rectangle
B) Kite
C) Trapezoid
D) Rhombus
- 5. Which quadrilateral has four right angles and four congruent sides?
A) Rectangle
B) Parallelogram
C) Kite
D) Square
- 6. Which quadrilateral has both pairs of opposite sides parallel?
A) Parallelogram
B) Trapezoid
C) Pentagon
D) Kite
- 7. In a parallelogram, opposite angles have what relationship?
A) They are supplementary.
B) They are congruent.
C) They are complementary.
D) They are always right angles.
- 8. Consecutive angles in a parallelogram are always ________.
A) Equal to 45°
B) Congruent
C) Complementary
D) Supplementary
- 9. 9. If one angle of a parallelogram measures 72°, what is the measure of its opposite angle?
A) 18°
B) 144°
C) 108°
D) 72°
- 10. Which quadrilateral is both a rectangle and a rhombus?
A) Square
B) Parallelogram
C) Kite
D) Trapezoid
- 11. Two perpendicular lines form four right angles.
A) True
B) Never
C) False
D) Sometimes
- 12. A parallelogram has exactly one pair of parallel sides.
A) Sometimes
B) False
C) True
D) Never
- 13. The opposite sides of a rectangle are congruent.
A) Always True
B) Never True
C) Sometimes True
D) False
- 14. Consecutive angles of a parallelogram are complementary.
A) False
B) Sometimes
C) True
D) Never
- 15. A square can be classified as a special type of rectangle.
A) Sometimes
B) False
C) True
D) Never
- 16. Two lines are intersected by a transversal. A pair of corresponding angles is found to have equal measures. Based on this information, what conclusion can be made about the two lines?
- 17. A quadrilateral has four congruent sides and four right angles. What type of quadrilateral is it? Explain briefly why.
- 18. In parallelogram PQRS, side PQ is represented by 3x + 5, while the opposite side RS measures 20 units. Find the value of x.
- 19. In parallelogram WXYZ, ∠W measures 110°. Determine the measure of ∠X. Show your solution.
- 20. In parallelogram ABCD, ∠A measures 65°. What is the measure of ∠C? Show your solution.
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