Unit 2 Quiz 1 Review

Unit 2 Quiz 1 Review

Parallel Lines and Transversals;

Interior and Exterior Triangle Angles;

Midsegment Theorem

Parallel Lines and Transversals

• Corresponding Angles are congruent

• Alternate Interior Angles are congruent

• Alternate Exterior Angles are congruent

• Same side interior angles are supplementary

• Vertical angles are congruent

• Linear pair is supplementary

Corresponding Angles

• Corresponding angles are in the same relative position on the parallel lines

• Corresponding angles are congruent if the lines are parallel

• The lines are parallel if corresponding angles are congruent

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• 
  

Alternate Interior Angles

• Alternate interior angles are inside the parallel lines and on opposite sides of the transversal

• Alternate interior angles are congruent if the lines are parallel

• The lines are parallel if alternate interior angles are congruent

Alternate Exterior Angles

• Alternate exterior angles are outside the parallel lines and on opposite sides of the transversal

• Alternate exterior angles are congruent if the lines are parallel and the converse is also true

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Same Side Interior Angles

• Same side interior angles are inside the parallel lines and on the same side of the transversal

• Same side interior angles are supplementary if the lines are parallel and the converse is also true

Multiple Choice

Assume the two blue lines are parallel and solve for x

• 21

• 30

• 40

• 130

Multiple Choice

 $\angle2=65\degree$  What is the measure of  $\angle4$  ? 

•  $65\degree$  

•  $130\degree$  

•  $135\degree$  

•  $115\degree$  

Multiple Choice

 $\angle3=\left(3x+10\right)\ and\ \angle6=\left(4x-5\right)$  Solve for x!

• 15

• 20

• 30

• 55

Multiple Choice

 $\angle1=\left(10x\ +8\right)\ and\ \angle5=\left(12x-14\right)$  .  What is the measure of  $\angle2$  ?

•  $92\degree$  

•  $60\degree$  

•  $62\degree$  

• If I chose an answer I would truly be guessing

Multiple Choice

 $\angle4=\left(5x\right)\ and\ \angle6=\left(3x-20\right)$ .  What is the measure of  $\angle4$  ?

•  $100\degree$  

•  $50\degree$  

•  $120\degree$  

•  $125\degree$  

Base Angles Theorem

• If a triangle has two congruent sides, the angles opposite them are also congruent

• If a triangle has two congruent angles, then the sides opposite those angles are also congruent

Multiple Choice

What is the measure of $\angle B$  ?

•  $48\degree$  

•  $74\degree$  

•  $40\degree$  

•  $92\degree$  

Multiple Choice

 $\angle B\cong\angle C$  .  What is the length of  $\overline{BC}$  ?

• 3

• 5

• 15

• 35

The Sum of the Interior Angles of a Triangle is 180^o

 $m\angle A+m\angle B+m\angle C=180\degree$  

Multiple Choice

Find the measure of $\angle A$  

•  $90\degree$  

•  $95\degree$  

•  $98\degree$  

•  $100\degree$  

Exterior Angles Theorem

The measure of an exterior angle of a triangle is equal to the sum of the two non-adjacent interior angles.

 $m\angle4=m\angle1+m\angle2$  

Multiple Choice

Solve for x!

• 10

• 12

• 20

• 25

Midsegment Theorem

 The segment connecting the midpoints of two sides of a triangle is parallel to the third side and half as long.

Multiple Choice

What is the length of the midsegment $\overline{DE}$ ? 

• 4.5

• 5

• 6

• 9