Basic Concepts in Coordinate Geometry

What are the coordinates of point Z?

• (3,2)

• (2,3)

• (4,4)

• (6,6)

Find the length of line segment AB given A(4, 3) and B(0, 6).

• 3
• 4
• 5
• 7

Tags

CCSS.HSG.GPE.B.7

Find the distance between the points: (0, 8) and (6, 16)

• 100

• $2\sqrt{7}$

• 10

• 28

How is the distance formula correctly written:

• $d\ =\ \sqrt{\left(y_{1\ }-\ y_2\right)^2\ -\left(x_{2\ }-\ x_1\right)^2}\$

• $d\ =\ \sqrt{\left(x_{2\ }-\ x_1\right)^2\ +\ \left(y_{2_{\ }}-\ y_1\ \right)^2}$

• $d\ =\ \sqrt{\left(y_{1\ }-\ y\ _2\right)^2\ +\ \left(x_{2\ }-\ x_1\right)}^2$

• d = $\sqrt{\left(x\right)^2-\ \left(y\right)^2}$

Find the gradient of the line that passes through the points (2, 4) and (6, 12)

• 1/2

• -1/2

• 2

• -2

The gradient of the x - axis is

• Not defined

• Zero

• Negative

• $-1$

Gradients of parallel lines are:

• half of each other

• equal to each other

• equal to Zero

• equal to "-1" when multiplied

How to identify that two lines are perpendicular?

• The gradients are equal

• The gradients are negative reciprocals

• The y-intercept are opposite

• The distance are equal

Find the gradient of the line that is perpendicular to the line 2y = 3+5x.

• $\frac{5}{2}$
  

• $-\frac{2}{5}$

• $\frac{2}{5}$

• 2.5

If a rectangle is made up from points (-2,-1), (4,-1), (4,-3) & (-2,-3)
What is the perimeter of the rectangle?

• 12
• 8
• 16
• 15

Tags

CCSS.HSG.GPE.B.7