Coordinates on Vertices

Using the coordinate plane, draw a right triangle with vertices X(-3, 3), Y(-3, -3), and Z(5, -3). Line segment XZ is 10 units long. How many units is the perimeter of the right triangle? Enter your answer in the space provided.

Tags

CCSS.HSG.GPE.B.7

Points J and K, plotted on the coordinate grid, are two vertices of rectangle JKLM. Rectangle JKLM has an area of 7 square units. Point J is located at (2, 1), and point K is located at (−5, 1). Each vertex of the rectangle is located at a point that has integer coordinates. Which points could be another vertex of the rectangle? Select each correct answer.

• (2, −6)

• (2, 2)

• (−5, 2)

• (1, 1)

• (−5, 0)

Tags

CCSS.6.G.A.3

What is the perimeter of rectangle JKLM? Enter your answer in the box.

Tags

CCSS.HSG.GPE.B.7

The coordinates of the points below represent the vertices of a rectangle. P : (2, 2) Q : (6, 2) R : (6, 5) S : (2, 5) What is the perimeter, in units, of rectangle PQRS ?

• 8

• 12

• 14

• 16

Tags

CCSS.HSG.GPE.B.7

What is the distance, in units, between the points (2, 3) and (2, -6) on a coordinate plane?

• 3

• 5

• 9

• 11

Tags

CCSS.HSG.GPE.B.7

The vertices of triangle ABC are located at the points A (-6, 4), B (5, 4), and C (5, -12). What is the area, in square units, of triangle ABC?

• 88 square units

• 40 square units

• 35 square units

• 176 square units

Tags

CCSS.HSG.GPE.B.7

A student drew a triangle on a coordinate plane. The coordinates of each vertex of the triangle are shown: E (-2, -3), F (1, 5), G (4, -3). What is the length, in units, of side EG of the triangle?

• 2

• 3

• 6

• 7

Tags

CCSS.6.G.A.3

A triangle has vertices on a coordinate grid at points J(-1, 5) , K(4, 5) , and L(4, -2) . What is the length, in units, of KL ?

• 3

• 7

• 8

• 11

The coordinates of the points below represent the vertices of a rectangle. P : (2, 2) Q : (6, 2) R : (6, 5) S : (2, 5) What is the perimeter, in units, of rectangle PQRS?

• 8

• 12

• 14

• 16

Tags

CCSS.HSG.GPE.B.7

A coordinate grid is shown below. Which ordered pair describes a point that is located 4 units to the left of the origin and 2 units below the x-axis?

• (4, 2)

• (-4, -2)

• (-4, 2)

• (4, -2)

Tags

CCSS.6.NS.C.6C