Geometry Fall Final Review

In the diagram, which of the following statements are false?

• ∠1 and ∠4 are vertical angles
• ∠4 and ∠5 are alternate interior angles
• ∠1 and ∠8 are alternate interior angles
• ∠2 and ∠6 are corresponding angles

Tags

CCSS.HSG.CO.C.9

Given  $\angle3\ \&\ \angle4$  are vertical angles.  Sketch a diagram then solve an equation to find the value of x if  $m\angle3\ =\ x^2-4x\ and\ m\angle4=5x+36$  

• x = 12

• x = 11.5

• x = 12, x = -3

• x = 11.5, x = -12.5

• x = -9, x = 8

• x = 8

• x = -9.9, x = 10.9

• x = 10.9

Find the Midpoint M of AB if A is (-3, 3) and B is (-8, -5).

•  $\left(-\frac{11}{2},\ -1\right)$  

•  $\left(-\frac{5}{2},\ -1\right)$  

•  $\left(-13,\ -13\right)$  

•  $\left(2,\ 11\right)$  

Tags

CCSS.HSG.GPE.B.6

Given B is the midpoint of AC, find A if B is (-10, 4) and C is (-6, 2).

• (-14, 6)

• (-2, 0)

• (-8, 3)

• (-12, 5)

CD bisects AB at D. If  $AB=5x-4$  and  $DB=x+1$  , find AD.

• 2

• 3

•  $-\frac{5}{4}$  

•  $-\frac{1}{4}$  

 $m\angle PQR=\left(5x-3\right)\degree,\ m\angle SQR=\left(2x-1\right)\degree,$ and  $\ m\angle PQR=87\degree$ .  Find  $m\angle SQR$  

•  $35\degree$  

•  $18\degree$  

•  $13\degree$  

•  $25\degree$  

Find the measure of an angle if its supplement is five times as large as the angle.

• $30\degree$

• $150\degree$

• $45\degree$

• $36\degree$

What are two adjacent angles whose non-common sides are opposite rays:

• Linear Pair

• Supplementary Angles

• Vertical Angles

• Adjacent Angles

Tags

CCSS.7.G.B.5

What is a ray that divides an angle into two congruent angles?

• Segment Bisector

• Angle Bisector

• Congruent Angles

• Vertical Angles

Tags

CCSS.HSG.CO.D.12