Angle Relationships formed by parallel lines cut by a transversa

Angle relationships formed in parallel lines cut by a transversal

NY-8.G.5

Corresponding Angles

Multiple Choice

Finish the sentence.

The angle measures of corresponding angles…

• have a sum of 180 degrees.

• are congruent.

Multiple Choice

Which transformation allows corresponding angles to be congruent?

• Reflection
• Rotation
• Dilation
• Translation

Multiple Choice

What angle corresponds to angle 6?

• angle 2
• angle 4
• angle 7
• angle 8

Multiple Choice

2) Given the following two parallel lines cut by a transversal.

Which pair of angles represents corresponding angles?

• $$\angle1$$  and  $$\angle6$$  

• $$\angle6$$  and $$\angle5$$  

• $$\angle7$$  and $$\angle8$$  

• $$\angle4$$  and $$\angle8$$  

Multiple Choice

What angle corresponds to $$\angle4$$ ?

• $$\angle4$$

• $$\angle5$$

• $$\angle3$$

• $$\angle2$$

Multiple Choice

What angle corresponds to $$\angle1$$ ?

• $$\angle4$$

• $$\angle5$$

• $$\angle3$$

• $$\angle2$$

Multiple Choice

Name the corresponding angle to angle 4.

• angle 8
• angle 6
• angle 2
• angle 5

Alternate interior angles

Multiple Choice

Finish the sentence.

The angle measures of alternate interior angles…

• have a sum of 180 degrees.

• are congruent.

Multiple Choice

Which transformation allows alternate interior and alternate exterior angles to be congruent?

• Translation

• Reflection

• Rotation

• Dilation

Alternate exterior angles

Multiple Choice

Finish the sentence.

The angle measures of alternate exterior angles…

• have a sum of 180 degrees.

• are congruent.

Same-side interior angles

Multiple Choice

Another name for same-side interior or same-side exterior angles is congruent angles.

• True

• False

Multiple Choice

Finish the sentence.

The angle measures of same-side interior angles…

• have a sum of 180 degrees.

• are congruent.

​Same-side exterior angles

Multiple Choice

Finish the sentence.

The angle measures of same-side exterior angles…

• have a sum of 180 degrees.

• are congruent.

Vertical Angles

Vertical angles are created when any two or more lines intersect. You can find vertical angles in parallel lines cut by a transversal or in just two intersecting lines

Vertical angles have congruent angle measures.

Multiple Choice

Finish the sentence.

The angle measures of vertical angles…

• have a sum of 180 degrees.

• are congruent.

Multiple Select

Which transformation allows vertical angles to be congruent? Select all that apply.

• Translation

• Reflection

• Rotation

• Dilation

Multiple Choice

Vertical angles are only found in parallel lines cut by a transversal.

• True

• False

Multiple Choice

The following angle relationships such as

Corresponding angles,

alternate interior angles,

alternate exterior angles,

same-side interior angles,

same-side exterior angles

can only be found in parallel lines cut by a transversal.

• True

• False

Multiple Choice

Angle 1 and Angle 5 are examples of which type of angle pair?

• Alternate exterior angles

• Alternate interior angles

• Vertical angles

• Corresponding angles

Multiple Choice

If the  $$m\angle7\ =\ 115\degree,$$  find the measure of  $$\angle2.$$  

• $$115\degree$$  

• $$65\degree$$  

• $$180\degree$$  

• Cannot be determined

Multiple Choice

Which of the following angles would NOT be congruent to the measure of $$\angle7$$ ?

• $$\angle2$$  

• $$\angle3$$  

• $$\angle6$$  

• $$\angle8$$  

Multiple Choice

Angle 3 and Angle 6 are examples of which type of angle pair?

• Alternate exterior angles

• Alternate interior angles

• Vertical angles

• Corresponding angles

Multiple Choice

If the  $$m\angle5\ =\ 63\degree,$$  find the measure of  $$\angle3.$$  

• $$63\degree$$  

• $$117\degree$$  

• $$180\degree$$  

• Cannot be determined