Geometry Agenda 1. discuss Tests/Spirals 2. 3-1 Properties of Parallel Lines 3. Practice Assignment 4. EXIT.

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Presentation transcript:

Geometry Agenda 1. discuss Tests/Spirals Properties of Parallel Lines 3. Practice Assignment 4. EXIT

Chapter Properties of _______Lines

transversal A line that ________ two coplanar lines at two distinct points. lines a and b are coplanar lines line t is the transversal

Alternate interior angle pairs Interior angles are  3  4  5 and  6. Alternate interior angle pairs are interior angles that are d_________ from each other. Alternate interior angle pairs are ___,___ and ___,___.

Same-side interior angle pairs Interior angles are  3  4  5 and  6. Same-side interior angle pairs are interior angles that are on The ________ _______ of the transversal. Same-side interior angle pairs are ___,___ and ___,___.

Corresponding angle pairs are one interior angle and one exterior angle that are in the ________ position with respect to each line. Corresponding angle pairs are ___,___ ; ___,___ ; ___,___ and ___,___.

Name angle pairs Alt. int.  s Same-side int.  s Corres.  s

Postulate 3-1 Corresponding Angles Postulate If a transversal intersects two parallel lines, then corresponding angles are ____________.

Theorem 3-1 Alternate Interior Angles Theorem If a transversal intersects two parallel lines, then alternate interior angles are ___________.

Theorem 3-2 Same-side Interior Angles Theorem If a transversal intersects two parallel lines, then same-side interior angles are _________________.

Example #1 Find the angle measures. m  2=35º m  6=____ m  4=____ m  3=____ m  8=____

Example #2 Find the angle measures. m  1=____ m  2=____ m  3=____ m  4=____ m  5=____ m  6=____ m  7=____

Example #3 Find x if m  3 = 12x - 8 and m  5 = 3x + 10

Example #4 Determine which lines are parallel if: a.  5  2 b.  5 supple  6 c.  2  3 d.  7  5

Example #5 Find x and y.

Example #6 Find x and y.

Example #7 Given: a||b Prove:  1  3 1. a||b 2.  1  4 3.  4  3 4.  1  3

Example #8 Given: a||b Prove:  1 supple  2 1. a||b 2. m  2+m  3=  3  1 4. m  2+m  1=  1 supple  2

Practice –WB 3-1 #1-16 EXIT

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