Topics 6 through 10 Secondary 1 Math 9 Review

Which of the following is the correct midpoint formula given two endpoints (x₁, y₁) and (x₂, y₂)?

• $\left(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}\right)$

• $\left(\frac{x_1-x_2}{2},\frac{y_1-y_2}{2}\right)$

• $\left(\frac{x_1+y_1}{2},\frac{x_2+y_2}{2}\right)$

• $\left(\frac{x_2-x_1}{2},\frac{y_2-y_1}{2}\right)$

Given two points (x₁, y₁), (x₂, y₂) the distance between them is:

• $d=\sqrt{\left(x_1+y_1\right)^2-\left(x_2+y_2\right)^2}$

• $d=\sqrt{\left(x_1-y_1\right)^2-\left(x_2-y_2\right)^2}$

• $d=\sqrt{\left(x_1+x_2\right)^2-\left(y_1+y_2\right)^2}$

• $d=\sqrt{\left(x_1-x_2\right)^2+\left(y_1-y_2\right)^2}$

Using the Distance Formula, which is the correct setup to find the distance between the two points:

 (4, 3) and (2, 7)

•  $d=\sqrt{\left(x_1-x_2\right)^2+\left(y_1-y_2\right)^2}=\sqrt{\left(4-3\right)^2+\left(2-7\right)^2}$  

•  $d=\sqrt{\left(x_1-x_2\right)^2+\left(y_1-y_2\right)^2}=\sqrt{\left(4-2\right)^2+\left(3-7\right)^2}$  

•  $d=\sqrt{\left(x_1-x_2\right)^2+\left(y_1-y_2\right)^2}=\sqrt{\left(4-7\right)^2+\left(3-2\right)^2}$  

Using the Midpoint Formula, which is the correct setup to find the MIDPOINT for the endpoints:

 (−5, 1) and (8, −9)

•  $\left(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}\right)=\left(\frac{1+\left(-9\right)}{2},\frac{-5+8}{2}\right)$  

•  $\left(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}\right)=\left(\frac{-5+1}{2},\frac{8+\left(-9\right)}{2}\right)$  

•  $\left(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}\right)=\left(\frac{-5+8}{2},\frac{1+\left(-9\right)}{2}\right)$  

What point is halfway between (3, -1) and (8, -6)?

• (11, -7)
• (-5.5, -3.5)
• (5.5, -3.5)
• (2, -2)

Find the length between ( 1, 3) and (5, 6) 

• 3
• 4
• 5
• 6

Points G, H, and I are plotted on the coordinate grid.  How many units are between points G and H?

• 9 units

• 14 units

• 13 units

• 12 units

Which one is the correct construction for a perpendicular bisector?

• 1

• 2

• 3

• 4

_{What is the measure of the following angle?}

• 78 degrees.
• 102 degrees.
• 190 degrees.
• 58 degrees. 

Which diagram shows a correct mathematical construction using only a compass and a straightedge to bisect an angle?

• A
• B
• C
• D