Exploring Properties of Parallelograms

What property states that opposite sides of a parallelogram are congruent?

• Parallel Postulate

• Transversal Theorem

• Opposite Sides Congruence Theorem

• Congruent Sides Theorem

If a diagonal is drawn across a parallelogram, what type of triangles are formed?

• Right triangles

• Isosceles triangles

• Scalene triangles

• Congruent triangles

In parallelogram PQRS, if PQ = 4x and RS = 5x - 3, what is the value of x?

• x = 7

• x = 3

• x = 9

• x = 5

What is the length of side SP if SP = 2x + 12 and x = 3?

• 6 units

• 12 units

• 15 units

• 18 units

How are consecutive angles in a parallelogram related?

• They are complementary.

• They are congruent.

• They are not related.

• They are supplementary.

What is the measure of angle C if angle D is 114 degrees in a parallelogram?

• 180 degrees

• 76 degrees

• 66 degrees

• 114 degrees

If the perimeter of a parallelogram is 600 meters and one side is represented as 2x, what is the value of x?

• 50 meters

• 100 meters

• 200 meters

• 150 meters

What theorem explains the relationship of diagonals in a parallelogram?

• Diagonal Bisect Theorem

• Diagonal Congruence Theorem

• Parallel Diagonal Theorem

• Diagonal Parallelism Theorem

If one diagonal in a parallelogram is 35 units, what is the length of half of this diagonal?

• 25 units

• 70 units

• 35 units

• 17.5 units

What is the measure of angle 2 if angle 1 is 60 degrees and they are consecutive interior angles?

• 180 degrees

• 60 degrees

• 30 degrees

• 120 degrees