Name:_________________________________________ Date:_________ Period:____
Area and Perimeter of Rectangles
Prediction: I can use Coordinate Geometry and the Pythagorean Theorem/ Distance
Formula to classify polygons and compute their area and perimeter:
o I am not sure
o I think I can, but can’t prove it
o I know I can and can prove it
Four points and their coordinate are given.
(5, 8)
(5, –1)
1.
B
A
C
D
(12, 8)
(12, –1)
Is quadrilateral ABCD a rectangle? Explain your reasoning.
2. Compute the perimeter of quadrilateral ABCD.
3. Compute the area of quadrilateral ABCD.
4. Compute the area of triangle ACD.
Coordinate Geometry - Proofs: Area and Perimeter of Rectangles
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1.
Prove the quadrilateral is a rectangle.
2. Find the perimeter of the rectangle.
3. Find the area of the rectangle.
4. Draw in diagonal segment BD. What is the area of Triangle ABD?
Coordinate Geometry - Proofs: Area and Perimeter of Rectangles
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Teacher Directions:
Student Practice Page – No Teacher Directions
!
Students need to recall the formulas for the area of a triangle: 𝐴 = ! 𝑏ℎ
Coordinate Geometry - Proofs: Area and Perimeter of Rectangles
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