Geometry Unit 3 Distance Learning: Transversal Angle Pairs

125°

If m∠1= 55°, what is m∠2?

60°

If m∠2=60°, what is m∠3?

145°

If m∠3= 35°, what is m∠5?

35°

If m∠3= 35°, what is m∠6?

35°

If m∠4= 35°, what is m∠5?

55°

If m∠8= 55°, what is m∠1?

Linear Pair 5x+7+8x-71=180

If ∠2= 5x+7 and ∠4= 8x-71... -What Angle Pair Relationship do they make? -How would you solve for "x"?

Alternate Exterior Angles 5x+7=8x-71

If ∠2= 5x+7 and ∠7= 8x-71... -What Angle Pair Relationship do they make? -How would you solve for "x"?

The two lines are parallel by the "Consecutive Interior Angle Converse"

If ∠3 and ∠5 are supplementary, how can you prove the two lines are parallel?

The two lines are parallel by the "Alternate Interior Angle Converse"

If ∠3 and ∠6 are congruent, how can you prove the two lines are parallel?

Consecutive Interior Angles 6x+7+8x-27=180

If ∠4= 6x+7° and ∠6= 8x-27... -What Angle Pair Relationship do they make? -How would you solve for "x"?

Corresponding Angles 6x+7 = 8x - 27

If ∠8= 6x+7 and ∠4= 8x-27... -What Angle Pair Relationship do they make? -How would you solve for "x"?

The two lines are parallel by the "Corresponding Angle Converse"

If ∠a≅∠e, how can you prove the two lines are parallel?

The two lines are parallel by the "Alternate Exterior Angle Converse"

If ∠a≅∠h, how can you prove the two lines are parallel?

m∠5=150° Because m∠2=m∠6 by corresponding angles. So, if the m∠2 = 30°, m∠6=30°. And 30°+ m∠5= 180.

Justification: Assume the two lines are parallel. If m∠2 = 30°, what is the measurement of ∠5? Why?

30° Because m∠2 =m∠3 by vertical angles. Then, m∠3= m∠7 by corresponding angles.

Justification: Assume the two lines are parallel. If m∠2 = 30°, what is the measurement of ∠7? Why?

Alternate Interior Angles

What angle pair relationship does ∠4 and ∠5 make?

Linear Pair

What angle pair relationship does ∠6 and ∠8 make?

Vertical Angles

What angle pair relationship does ∠8 and ∠5 make?

Alternate Exterior Angles

What angle pair relationship is this?

Consecutive Interior Angles

What angle pair relationship is this?

Corresponding Angles

What angle pair relationship is this?

Two angles across from each other on intersecting lines? They are always congruent

What are vertical angles?

Angles that are adjacent and supplementary (add up to 180).

What is a linear pair?

Transversal

What is the Diagonal line called?

If the measurement of Angle A = the measurement of Angle B

What is the definition of Congruent Angles?