Understanding rational numbers

A triangle has vertices as (1, 2), (3, –4), and (–2, 3). Find the area of the triangle.

• Area = 16

• Area = 8

• Area = 32

• None of these

If the points on the coordinate plane below are the three vertices of a rectangle, what are the coordinates of the fourth vertex?

• (5,-5)

• (-5,5)

• (5,5)

• (-5,-5)

What is the area of the rectangle?

• 50 cm²
• 45 cm²
• 40 cm²
• 44 cm²

Find the distance between (1,2) (-1,-2)

• 4.5
• 4.4
• 5
• 20

The vertices of the giraffe exhibit at a Zoo are E(0,90), F(60, 90), G (100,30), and H (0,20). The coordinates are measured in feet. What is the area of the exhibit?

• 72 feet²

• 48 feet²

• 4800 feet²

• 7200 feet²

• 9600 feet²

 If the points (3,1), (3,-1), and (-2,-1) are 3 vertices of a rectangle in the standard (x,y) coordinate plane, what is the fourth vertex?

•  (2,1)
•   (-2,1)
• (-1,-2)
•  (1,3)

What is the perimeter of the shaded figure?

• 12
• 10
• 16
• 18

Find the distance between the points.

• $5$

• $13$
  

• $\sqrt{10}$

• $\sqrt{13}$
  

What are the coordinates of the Triangle?

• (-2,10)

• (10,2)

• (10,-2)

• (-10,2)

What is the area of this figure?

• 7 units²

• 15 units²

• 7.5 units²

• 15.5 units²