Slope Parallelograms

If you can prove that one pair of opposite sides of a parallelogram are the same length and have the same slope, you can prove that it is a parallelogram.

• Always

• Sometimes

• Never

You have plotted the parallelogram in the picture. Which sides would you want to find the slope of first?

• AB and BC

• AB and AD

• AD and DC

• AB and DC

The slope of side AB is -3 and the slope of DC is -3. What does this mean?

• Side AB and AD are parallel

• Side AB and AD form a right angle

• Side AB and AD are congruent

• Nothing Specific

Julia proved ABCD is a parallelogram. She notices that side AB has a slope of 8/3 and BC has a slope of 1/3. What can she classify ABCD as?

• A rectangle

• A square

• A rhombus

• Just a parallelogram

• Find the slope of 2 sides.

• Find the slope of all 4 sides.

• Find the slope of the diagonals.

• Find the length of all 4 sides.

• Find the slope of two consecutive sides.

• Find the slope of all 4 sides.

• Find the slope of the diagonals.

• Find the length of two consecutive sides.

Determine if quadrilateral RUTS is a parallelogram by proving that the slopes of the opposite sides are equal.

IF YES, also identify the slope of RS.

• Yes

• No

• m = 1/8

• m = 2/8

• m = 8

What formula would you use to prove if the opposite sides of figure ABCD is parallel?

• slope

• distance

• midpoint

• Pythagorean Theorm

In order to prove this parallelogram is a RECTANGLE, we would have to show that...

• Adjacent sides have slopes that are OPPOSITE RECIPROCALS

• Adjacent sides have EQUAL slopes

• Opposite sides have EQUAL slopes

• Opposite sides have slopes that are OPPOSITE RECIPROCALS

In parallelogram WXYZ, W is located at (-2, -4) and X is located at (6, 4) what is the slope of YZ?