Properties of Parallelograms in Geometry

What defines a parallelogram?

• A circle divided into four equal parts

• A shape with four sides

• A quadrilateral with opposite sides parallel

• A triangle with one angle over 90 degrees

What happens to the diagonals in a parallelogram?

• They intersect outside the shape

• They do not intersect

• They bisect each other

• They are always equal in length

What are supplementary angles?

• Angles that are opposite each other

• Angles that add up to 90 degrees

• Angles that add up to 180 degrees

• Angles that are less than 90 degrees

How can you remember the difference between complementary and supplementary angles?

• Complementary for 'complete' and supplementary for 'sum'

• Complementary for 'corner' and supplementary for 'straight'

• Complementary starts with 'C' for 90 degrees, supplementary starts with 'S' for 180 degrees

• Complementary for 'circle' and supplementary for 'square'

What must be true for the diagonals in a parallelogram regarding their intersection?

• They intersect at the center

• They do not intersect

• They intersect at one vertex

• They intersect outside the parallelogram

What must be true about the opposite angles in a parallelogram?

• They are both obtuse

• They are both acute

• They are supplementary

• They are congruent

In a parallelogram, if one angle is 70 degrees, what is the measure of its opposite angle?

• 90 degrees

• 100 degrees

• 70 degrees

• 110 degrees

How do you solve for 'x' when given an equation involving angles in a parallelogram?

• Use algebraic methods to isolate x

• Multiply all terms by x

• Subtract the smallest angle from 180

• Add 180 to both sides of the equation

What is the result of 22x - 2 + 94 = 180?

• x = 4

• x = 10

• x = 6

• x = 8

If RF = 12x + 1 and RT = 26x, and RT is twice as big as RF, what is the value of x?

• x = 4

• x = 1

• x = 2

• x = 3