Topic 2 Review

A(n) _____________ intersects coplanar lines at distinct points.

• transversal

• interior angle

• corresponding angle

• alternate interior angle

Tags

CCSS.HSG.CO.C.9

Two angles inside a triangle that correspond to the nonadjacent exterior angle are the ___________.

• alternate interior angles

• remote interior angles

• same-side interior angles

• corresponding angles

______________ lie on the same side of a transversal of parallel lines and are in corresponding positions relative to the parallel lines.

• corresponding angles

• alternate interior angles

• alternate exterior angles

• same-side interior angles

Tags

CCSS.HSG.CO.C.9

Angles between parallel lines that are nonadjacent and that lie on opposite sides of a transversal are ______________.

• alternate exterior angles

• same-side interior angles

• corresponding angles

• alternate interior angles

Tags

CCSS.7.G.B.5

Angles between parallel lines that are on the same side of a transversal are ______________.

• same-side interior angles

• corresponding angles

• alternate interior angles

• alternate exterior angles

Tags

CCSS.HSG.CO.C.9

Suppose  $l\parallel m$ . What is the measure of  $m\angle1$  if   $m\angle2=138\degree$  ?

•  $42\degree$  

•  $138\degree$  

•  $180\degree$  

•  $69\degree$  

Answer explanation

Angles 1 and 2 are LINEAR PAIRS, meaning when you add them together you get 180.
 $m\angle1$  + 138 = 180
 $m\angle1$  = 42

Tags

CCSS.HSG.CO.C.9

Suppose $l\parallel m$ . What is the measure of  $m\angle4$   if  $m\angle2=138\degree$  ?

•  $180\degree$  

•  $42\degree$  

•  $138\degree$  

•  $21\degree$  

Answer explanation

Angles 2 and 4 are alternate interior angles. We know that alternate interior angles are CONGRUENT, meaning that the angle measure are the same. 

So if the measure of angle 2 is 138 degrees, the measure of angle 4 will also be 138 degrees.

Tags

CCSS.HSG.CO.C.9

If  $m\angle1=3x-3$  and  $m\angle5=7x+23$  , for what value of x is  $l\parallel m$  ?

• 16

• 8

• 6.5

• None of the above

Answer explanation

There is no relationship with 1 and 5, so how would we solve? Well, we know that angle 2 and angle 5 are corresponding angles, meaning they have the same measure.
Angle 1 and 2 are a linear pair that equals 180.
So we can set up this problem like:
 $m\angle1\ +\ m\angle5=180$  
(3x - 3) + (7x + 23) = 180
3x - 3 + 7x + 23 = 180
10x + 20 = 180
10x = 160
x = 16

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.C.6

CCSS.HSG.CO.C.9

CCSS.HSG.GPE.B.5

What is the value of x in this figure?

• 56

• 130

• 106

• None of the above

Answer explanation

Use the Triangle Angle Sum Theorem:

x + 50 + 74 = 180

x + 124 = 180

x = 56

Tags

CCSS.HSG.CO.C.10

What is the value of x in this figure?

• 135

• 45

• 50

• None of the above

Answer explanation

Use the Triangle Ecterior Angle Theorem:

x = 72 + 63

x = 135

Tags

CCSS.HSG.CO.C.10