transversal lines & angle pairs during this tutorial, you will complete your foldable inside...

10
Transversal Lines & Angle Pairs During this tutorial, you will complete your foldable inside your notebook, and you will identify the five different angle pairs that are created by a transversal.

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Page 1: Transversal Lines & Angle Pairs During this tutorial, you will complete your foldable inside your notebook, and you will identify the five different angle

Transversal Lines &

Angle Pairs

During this tutorial, you will complete your foldable inside your notebook, and you will

identify the five different angle pairs that are created by a

transversal.

Page 2: Transversal Lines & Angle Pairs During this tutorial, you will complete your foldable inside your notebook, and you will identify the five different angle

Recap: Labeling Lines & Angles

Lines are identified by two points on the line, or by a single lowercase script letter.

line j, line k, line t

Angles are identified by the three points that are used to create the angle, the vertex point, or by a number.

∠1, ∠2, ∠3, ∠4, ∠5, ∠6, ∠7, ∠8

line t is the transversal between line j and line k(A transversal is a line that intersects at least two other lines.)

Color your transversal line

RED.

Page 3: Transversal Lines & Angle Pairs During this tutorial, you will complete your foldable inside your notebook, and you will identify the five different angle

Angle PairsA transversal line creates five different angle pairs. The five angle pairs are:

Corresponding AnglesAlternate Interior AnglesAlternate Exterior AnglesSame Side Interior AnglesSame Side Exterior Angles

You will create a Color Key.(Pick any 5 colors, not red or yellow.)

Corresponding AnglesAlternate Interior AnglesAlternate Exterior AnglesSame Side Interior AnglesSame Side Exterior Angles

Corresponding AnglesAlternate Interior AnglesAlternate Exterior AnglesSame Side Interior AnglesSame Side Exterior Angles

Page 4: Transversal Lines & Angle Pairs During this tutorial, you will complete your foldable inside your notebook, and you will identify the five different angle

Interior Vs. ExteriorA transversal line creates two different regions: an interior region and an exterior region.

Color the interior region YELLOW. You will still need to see those numbers, so color lightly or around them. Inside you will write INTERIOR.

On the outside, you will write EXTERIOR.

Corresponding AnglesAlternate Interior AnglesAlternate Exterior AnglesSame Side Interior AnglesSame Side Exterior Angles

INTERIORINTERIOR

EXTERIOR

EXTERIOR

EXTERIOR

Corresponding AnglesAlternate Interior AnglesAlternate Exterior AnglesSame Side Interior AnglesSame Side Exterior Angles

Page 5: Transversal Lines & Angle Pairs During this tutorial, you will complete your foldable inside your notebook, and you will identify the five different angle

Corresponding AnglesKeep these questions in mind as we work through labeling the corresponding angles.

What do you think is meant by Corresponding angles? Which angle pairs are Corresponding angles?

Corresponding angles are on the same side of the transversal line, one angle is on the interior and one angle is on the exterior. Mark them in BLUE.

How many pairs of corresponding angles do you see?

INTERIORINTERIOR

EXTERIOR

EXTERIOR

EXTERIOR

Corresponding AnglesAlternate Interior AnglesAlternate Exterior AnglesSame Side Interior AnglesSame Side Exterior Angles

∠2 and ∠6∠1 and ∠5∠3 and ∠7∠4 and ∠8

∠2 and ∠6∠1 and ∠5∠3 and ∠7∠4 and ∠8

Make sure you are recording your angles

appropriately.

Page 6: Transversal Lines & Angle Pairs During this tutorial, you will complete your foldable inside your notebook, and you will identify the five different angle

Alternate Interior AnglesKeep these questions in mind as we work through labeling the alternate interior angles.

What do you think is meant by Alternate Interior angles? Which angle pairs are Alternate Interior angles?

Alternate Interior Angles are angles located in the INTERIOR, on opposite sides of the transversal, and in opposite corners. Mark them in Salmon.

How many pairs of Alternate Interior angles do you see?

INTERIORINTERIOR

EXTERIOR

EXTERIOR

EXTERIOR

Corresponding AnglesAlternate Interior AnglesAlternate Exterior AnglesSame Side Interior AnglesSame Side Exterior Angles

∠4 and ∠6∠3 and ∠5

∠2 and ∠6∠1 and ∠5∠3 and ∠7∠4 and ∠8

Make sure you are recording your angles

appropriately.∠4 and ∠6∠3 and ∠5

Page 7: Transversal Lines & Angle Pairs During this tutorial, you will complete your foldable inside your notebook, and you will identify the five different angle

Alternate Exterior AnglesKeep these questions in mind as we work through labeling the alternate exterior angles.

What do you think is meant by Alternate Exterior angles? Which angle pairs are Alternate Interior angles?

Alternate Exterior Angles are angles located in the EXTERIOR, on opposite sides of the transversal, and in opposite corners. Mark them in Green.

How many pairs of Alternate Exterior angles do you see?

INTERIORINTERIOR

EXTERIOR

EXTERIOR

EXTERIOR

Corresponding AnglesAlternate Interior AnglesAlternate Exterior AnglesSame Side Interior AnglesSame Side Exterior Angles

∠2 and ∠8∠1 and ∠7

∠2 and ∠6∠1 and ∠5∠3 and ∠7∠4 and ∠8

Make sure you are recording your angles

appropriately.∠4 and ∠6∠3 and ∠5

∠2 and ∠8∠1 and ∠7

Page 8: Transversal Lines & Angle Pairs During this tutorial, you will complete your foldable inside your notebook, and you will identify the five different angle

Same Side Interior AnglesKeep these questions in mind as we work through labeling the same side interior angles.

What do you think is meant by Same Side Interior angles? Which angle pairs are Same Side Interior angles?

Same Side Interior Angles are angles located in the INTERIOR, and on the same side of the transversal. Mark them in PINK.

How many pairs of Same Side Interior angles do you see?

INTERIORINTERIOR

EXTERIOR

EXTERIOR

EXTERIOR

Corresponding AnglesAlternate Interior AnglesAlternate Exterior AnglesSame Side Interior AnglesSame Side Exterior Angles

∠3 and ∠6∠4 and ∠5

∠2 and ∠6∠1 and ∠5∠3 and ∠7∠4 and ∠8

Make sure you are recording your angles

appropriately.∠4 and ∠6∠3 and ∠5

∠2 and ∠8∠1 and ∠7

∠3 and ∠6∠4 and ∠5

Page 9: Transversal Lines & Angle Pairs During this tutorial, you will complete your foldable inside your notebook, and you will identify the five different angle

Same Side Exterior AnglesKeep these questions in mind as we work through labeling the same side exterior angles.

What do you think is meant by Same Side Exterior angles? Which angle pairs are Same Side Interior angles?

Same Side Exterior Angles are angles located in the EXTERIOR, and on the same side of the transversal. Mark them in TEAL.

How many pairs of Same Side Exterior angles do you see?

INTERIORINTERIOR

EXTERIOR

EXTERIOR

EXTERIOR

Corresponding AnglesAlternate Interior AnglesAlternate Exterior AnglesSame Side Interior AnglesSame Side Exterior Angles

∠2 and ∠7∠1 and ∠8

∠2 and ∠6∠1 and ∠5∠3 and ∠7∠4 and ∠8

Make sure you are recording your angles

appropriately.∠4 and ∠6∠3 and ∠5

∠2 and ∠8∠1 and ∠7

∠3 and ∠6∠4 and ∠5

∠2 and ∠7∠1 and ∠8

Page 10: Transversal Lines & Angle Pairs During this tutorial, you will complete your foldable inside your notebook, and you will identify the five different angle

To Finish the Lesson

Make sure that you have finished labeling and identifying all of the angle pairs in your notebook.

Complete the Check Your Understanding Google Form. There will be 5 questions for you to complete.

Think about the “WHY?” behind the names for these angle pairs. We will be discussing these in more detail tomorrow.