Parallelograms Fast & Curious

Front

What is a parallelogram?

Back

A parallelogram is a four-sided figure (quadrilateral) with opposite sides that are parallel and equal in length.

Front

What are the properties of a parallelogram?

Back

The properties of a parallelogram include: opposite sides are equal, opposite angles are equal, the diagonals bisect each other, and consecutive angles are supplementary.

Front

How do you find the value of x in a parallelogram when given one side and an angle?

Back

To find the value of x, you can use the properties of parallelograms, such as the fact that opposite angles are equal or that the sum of consecutive angles is 180 degrees.

Front

What is the relationship between the diagonals of a parallelogram?

Back

The diagonals of a parallelogram bisect each other, meaning they cut each other in half.

Front

If one angle of a parallelogram is 67 degrees, what are the measures of the other angles?

Back

The opposite angle is also 67 degrees, and the consecutive angles are 113 degrees each (since consecutive angles are supplementary and add up to 180 degrees).

Front

How can you determine if a quadrilateral is a parallelogram?

Back

A quadrilateral is a parallelogram if one of the following conditions is met: both pairs of opposite sides are parallel, both pairs of opposite sides are equal, or the diagonals bisect each other.

Front

What is the formula for the area of a parallelogram?

Back

The area of a parallelogram is calculated using the formula: Area = base × height.

Front

How do you solve for x in a parallelogram when given two angles?

Back

You can use the property that the sum of the angles in a parallelogram is 360 degrees and that opposite angles are equal.

Front

What is the significance of the hint 'What can you do to EA to make it equal to AC?' in solving for x?

Back

This hint suggests using the property of parallelograms that states opposite sides are equal, which can help set up an equation to solve for x.

Front

If EA = 2x and AC = 10, how do you solve for x?

Back

Set up the equation 2x = 10, then divide both sides by 2 to find x = 5.