Unit 1B Test Review

Which postulate justifies the following statement:

 $m\angle WVZ+m\angle ZVU=m\angle WVU$  

• Segment Addition Postulate

• Congruence Postulate

• Angle Addition Postulate

• Arc Addition Postulate

Point M is the midpoint of

 $\overline{LN}$  . If  $\overline{LM}=4x+7$  and  $\overline{LN}=10x+4$  , find  $LN$  . (Hint: Draw a diagram)

Point Q lies on a number line between points P and R. The coordinate of P is -7 and the coordinate of R is 8. The distance between P and Q is  $\frac{1}{5}$  of PR. What is the coordinate of Q?

Which of the following is the formula to find the distance between two points?

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

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

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

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

If S is between R and T, RT=11 and ST=7, what is RS?

Which of the following is the correct Midpoint Formula?

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

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

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

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

Given X (-4,4) and Y (-10,-17), what is XY to the nearest tenth?

If point B is between A and C, AB=16 and BC=12, what is AC?

Given A (3, -7) and B (-11, -12), what are the coordinates of the midpoint of AB? Round to the nearest tenth if necessary.

Which postulate justifies the following statement:  $IJ+JK=IK$  

• Congruence Postulate 

• Arc Addition Postulate

• Angle Addition Postulate

• Segment Addition Postulate