Proving Quadrilaterals in the Coordinate Plane

An unknown quadrilateral has these points:
A(0,-3)
B(6,-3)
C(9,1)
D(3,1)
What is the length of side AD?

An unknown quadrilateral has these points:

A(0,-3)

B(6,-3)

C(9,1)

D(3,1)

Based on your discoveries about the lengths of the sides, can this shape be a square?

• Yes

• No

An unknown quadrilateral has these points:

A(0,-3)

B(6,-3)

C(9,1)

D(3,1)

What is the slope of side AB?

An unknown quadrilateral has these points:

A(0,-3)

B(6,-3)

C(9,1)

D(3,1)

What is the slope of side BC?

An unknown quadrilateral has these points: A(0,-3) B(6,-3) C(9,1) D(3,1) What is the slope of side CD?

An unknown quadrilateral has these points:

A(0,-3)

B(6,-3)

C(9,1)

D(3,1)

What is the slope of side AD?

An unknown quadrilateral has these points:

A(0,-3)

B(6,-3)

C(9,1)

D(3,1)

Based on your discoveries about the slopes of the sides, can this shape be a rectangle?

• Yes

• No

An unknown quadrilateral has these points:

A(0,-3)

B(6,-3)

C(9,1)

D(3,1)

Based on your discoveries about the slopes of the sides, can this shape be a parallelogram?

• Yes

• No

Identify the transformation from ABCD to A'B'C'D'.

• Translation

• Reflection across the x-axis

• Reflection across the y-axis

• 90^o counter clockwise rotation

Quadrilateral ABCD was dilated with the origin as the center of dilation to create quadrilateral A'B'C'D'. Which rule best represents the dilation that was applied to quadrilateral ABCD to create quadrilateral A'B'C'D'?

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