Lesson 15: Shapes on the Coordinate Plane | Unit 7: Rational Numbers

Multiple Choice

The coordinates of a rectangle are $$(3, 0)$$ , $$(3, -5)$$ , $$(-4, 0)$$ and $$(-4, -5)$$ . What is the length and width of this rectangle?

• Length: 4, Width: 6
• Length: 5, Width: 5
• Length: 5, Width: 7
• Length: 6, Width: 7

Multiple Choice

The coordinates of a rectangle are $$(3, 0)$$ , $$(3, -5)$$ , $$(-4, 0)$$ and $$(-4, -5)$$ . What is the perimeter of the rectangle?

• 20
• 24
• 30
• 18

Multiple Choice

The coordinates of a rectangle are $$(3, 0)$$ , $$(3, -5)$$ , $$(-4, 0)$$ and $$(-4, -5)$$ . What is the area of the rectangle?

• 35
• 40
• 25
• 15

Draw

Draw a square with one vertex on the point $$(-3,5)$$ and a perimeter of 20 units on the given graph.

Multiple Choice

What are the coordinates of each other vertex of the square you drew with one vertex on the point $$(-3,5)$$ and a perimeter of 20 units?

• (0, 5), (-3, 10), (0, 10)
• (-3, 10), (2, 10), (2, 5)
• (5, 5), (2, 5), (5, 0)
• [(2, 5), (-3, 0), (2, 0)], [(-3-5/√2, 5+5/√2), (-3+5/√2, 5-5/√2)]

Draw

Plot and connect the following points to form a polygon on the given graph. ((-3, 2), (2, 2), (2, -4), (-1, -4), (-1, -2), (-3, -2), (-3, 2))

Multiple Choice

What is the perimeter of the polygon formed by the points $$(-3, 2), (2, 2), (2, -4), (-1, -4), (-1, -2), (-3, -2), (-3, 2)$$ ?

• 22
• 20
• 24
• 18

Draw

Plot and connect these points to form a polygon on the graph. ((-5, 3), (3, 3), (1, -2), (-3, -2))

Multiple Choice

What are the lengths of the two horizontal sides of the polygon formed by the points $$(-5, 3), (3, 3), (1, -2), (-3, -2)$$ ?

• Top side length: 6, Bottom side length: 2
• Top side length: 10, Bottom side length: 5
• Top side length: 7, Bottom side length: 3
• Top side length: 8, Bottom side length: 4

Draw

Plot the triangle DEF with vertices D(-4, -4), E(-2, -4), and F(-3, -1) in the coordinate plane and label the vertices.