Notes - Transversals (Math 7)€¦ · parallel lines and on opposite sides of the transversal. Angles a and b on the left are alternate interior angles. a b Can you find the six pairs

Notes Transversals (Math 7)

Parallel Lines

_________________ lines never intersect.

These lines are parallel.

Pull for H

int

Parallel lines

Transversal line

A ______________________ is a line that intersects at least two other lines. The intersected lines are usually parallel.

Transversal

Can you draw another transversalthat intersects the parallel lines above?

Corresponding Angles are congruent angles located on the same side of the transversal and open in the same direction. Angles a and b on the left are corresponding angles.

Can you find the twelve pairs of corresponding angles in the picture on the right?

hgfe

dcba

kjil

Corresponding Angles

a

b

1. ____ and ____ 2. ____ and ____ 3. ____ and ____

4. ____ and ____ 5. ____ and ____ 6. ____ and ____

7. ____ and ____ 8. ____ and ____ 9. ____ and ____

10. ____ and ____ 11. ____ and ____ 12. ____ and ____

Let's Practice!!Solve for the variable.

2x - 7

1175x + 30

130

Find the measure of both angles.

Alternate Interior AnglesAlternate Interior Angles are congruent angles located inside two parallel lines and on opposite sides of the transversal. Angles a and b on the left are alternate interior angles.

a

b

Can you find the six pairs of alternate interior angles in the picture on the right?

hgfe

dcba

kjil

1. ____ and ____

2. ____ and ____

3. ____ and ____

4. ____ and ____

5. ____ and ____

6. ____ and ____

Let's Practice!!

3x - 67

146

81

5x + 21

Solve for the variable. Find the measure of both angles.


Alternate Exterior Angles are congruent angles located outside two parallel lines and on opposite sides of the transversal. Angles a and b on the left are alternate interior angles.

a

b

Can you find the six pairs of alternate exterior angles in the picture on the right?

hgfe

dcba

kjil

1. ____ and ____

2. ____ and ____

3. ____ and ____

4. ____ and ____

5. ____ and ____

6. ____ and ____

Alternate Exterior Angles Let's Practice!!

61

-2x + 73120

8x - 72


Same Side Interior Angles are angles that have a sum of 180˚ located inside two parallel lines and on the same side of the transversal. Angles a and b on the left are same side interior angles.

ab

Can you find the six pairs of same side interior angles in the picture on the right?

hgfe

dcba

kjil

1. ____ and ____

2. ____ and ____

3. ____ and ____

4. ____ and ____

5. ____ and ____

6. ____ and ____

Alternate Exterior AnglesSame Side Interior Angles Let's Practice!!

7x + 116x + 13

120

7x - 10


Same Side Exterior Angles are angles that have a sum of 180˚ located outside two parallel lines and on the same side of the transversal. Angles a and b on the left are same side exterior angles.

a

b

Can you find the six pairs of same side exterior angles in the picture on the right?

hgfe

dcba

kjil

1. ____ and ____

2. ____ and ____

3. ____ and ____

4. ____ and ____

5. ____ and ____

6. ____ and ____

Alternate Exterior AnglesSame Side Exterior Angles Let's Practice!!

5x - 5

11x + 9

85

14x - 3



What angle(s) are corresponding to angle a?

What angle(s) are alternate interior to angle c?

What angle(s) are alternate exterior to angle b?

What angle(s) are vertical to angle f?

What angle(s) are adjacent to angle l?

hgfe

dcba

kjil

How many angles are same side exterior to angle i?

What angle(s) are supplementary to angle h?

What angle(s) are corresponding to angle e?

What angle(s) are same side interior to angle d?

hgfe

dcba

kjil

Attachments

Activity Transversal Lines Intro.notebook

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page0.svg

Oct 3-3:12 PM Parallel Lines Cut by a Transversal

page1.svg

Oct 3-3:16 PM Take two of your spaghetti and create parallel lines with them. Tape them to a piece or paper

page2.svg

Oct 3-3:26 PM Place the third spaghetti so that it intersects the parallel lines. secure with tape

page3.svg

Oct 3-3:29 PM Sort smarties by color

page5.svg

Oct 3-3:40 PM Place Similar color smarties in the vertical angles 03381708undefined

page6.svg

Oct 3-3:51 PM Now place one color smarties in angles 3 and 6. Place another color in angles 4 and 5. What do you notice about these angles? These angles are called alternate interior angles.0167772151052479info_txt undefinedWhat do you notice about these angles? Use a protractor to provide evidence about your inference. false10010003202true223763

page7.svg

Oct 3-3:57 PM Place similar colored smarties in the angles you think are supplementary. REMEMBER!%#What does supplementary mean?The sum of the angles is 180 degrees00167772151677721533424892616366 undefined1 and 2 , 1 and 3%#2 and 4 , 3 and 4%#5 and 6 , 5 and 7%#6 and 8 , 7 and 8false10010003202true281774

page9.svg

Oct 3-4:09 PM Place similar colored smarties in angles 1 and 8 and a different color in angles 2 and 7 What do you notice about this angle measures? Use your protractor to support your thinking.0076710988info_txt_left These angles are called alternate exterior angles.0093394764info_txt

page8.svg

Oct 3-4:04 PM Which angles do you think are corresponding angles? undefinedcorresponding angles are angles in the same relative positionHintfalse10010003202true222765 1 and 5%#3 and 7%#2 and 6%#4 and 800716751052info_txt

page10.svg

Oct 3-4:20 PM What do you notice about angles 1,4,5 and 8 along with angles 2, 3,6, and 7? These angles are all congruent, or have the same angle measure! undefinedundefinedundefinedundefinedundefinedundefinedundefinedundefinedundefinedundefinedtrueundefinedundefined They all have the same measure0167772151113382604info_txt

page11.svg

Oct 3-4:23 PM What do you notice about all the angles inside the parallel line and on the same side of the transversal? They are supplementary Angles! 013395660undefined

page12.svg

Oct 3-4:26 PM Practice **Find the missing angle.**

page13.svg

Oct 3-4:28 PM **find the angle using algebra**

page14.svg

Oct 3-4:31 PM

page15.svg

Oct 3-4:32 PM

page4.svg

Oct 17-4:22 PM Math warehouse parallel lines cut by transversal Extra Support

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Notes - Transversals (Math 7)€¦ · parallel lines and on opposite sides of the transversal. Angles a and b on the left are alternate interior angles. a b Can you find the six pairs