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Geometry/Trig 2Name: __________________________ Unit 3 Review PacketDate: ___________________________. Section I – Name the five ways to prove that parallel lines exist. 1. ____________________________________________________________________ - PowerPoint PPT Presentation
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Geometry/Trig 2 Name: __________________________
Unit 3 Review Packet Date: ___________________________
Section I – Name the five ways to prove that parallel lines exist.
1. ____________________________________________________________________
______________________________________________________________________
2. ____________________________________________________________________ ______________________________________________________________________
3. ____________________________________________________________________ ______________________________________________________________________
4. ____________________________________________________________________
______________________________________________________________________
5. ____________________________________________________________________ ______________________________________________________________________
Section II – Identify the pairs of angles.
1. 1&4 ______________________
2. 3&6 ______________________
3. 8&4 ______________________
4. 2&7 ______________________
5. 3&5 ______________________
6. 1&6 ______________________
1 2
3 4
6
87
5
1.) Vertical angles are __________________________________________________________________
2.) Angles in a linear pair are _____________________________________________________________.
3.) If two parallel lines are cut by a transversal, then corresponding angles are ________________________.
4.) If two parallel lines are cut by a transversal, then alternate interior angles are _____________________.
5.) If two parallel lines are cut by a transversal, then alternate exterior angles are ____________________.
6.) If two parallel lines are cut by a transversal, then same side interior angles are ____________________.
7.) If two parallel lines are cut by a transversal, then same side exterior angles are ___________________.
Section III – Fill In
8. If two lines are perpendicular to a third, then the two lines are ___________________.
9. The sum of interior angles of a _________________ is 180.
10. The measure of an exterior of a triangle is the sum of the two __________ __________ _________.
Geometry/Trig 2 Name: __________________________
Unit 3 Review Packet – Page 2 Date: ___________________________
Section IV – Determine which lines, if any, are parallel based on the given information. If there are parallel lines, state the reason they are parallel.
1 2
3 4
6
87
5
9 10
11 12
14
1615
13b
a1.) m1 = m9 _________________________
_________________________
2.) m1 = m4 _________________________
_________________________
3.) m12 + m14 = 180
_________________________
_________________________
4.) m1 = m13 _________________________
_________________________
5.) m7 = m14 _________________________
_________________________
6.) m2 = m11 _________________________
_________________________
7.) m15 + m16 = 180
_________________________
_________________________
8.) m4 = m5 _________________________
_________________________
dc
Section V – Name the following polygons – For triangles name each by side and angles; for all other polygons name whether each is irregular or regular, convex or not convex, and give its name based on the number of sides.
Geometry/Trig 2 Name: __________________________
Unit 3 Review Packet – Page 3 Date: ___________________________
1. 2.
4.
6.5.
3.
5
4
3
60
6060
5
5
8
square
8.7.
7
8
9
Number of Sides
Name of polygon
Sum of interior angles.
Measure of each interior angle if it was a regular polygon
Sum of exterior angles.
360
8
10
Triangle
Pentagon
900
6
Section VI – Fill In the Chart
Section VII– Find the slope of each line. (Change the equations into slope intercept form.) Determine which lines are parallel and which lines are perpendicular.
Line a 8x – 2y = 10 Line b 4y = 6x
Line c 2x + 3y = 9 Line d y = x
Line e x + y = 2 Line f 5x – 4y = 4
Parallel lines __________________
___________________
Perpendicular lines ________________
________________
Section X - Proofs
Statements Reasons
J
G K
IH
Given: GK bisects JGI
mH = m2
Prove: GK // HI
1.
2.
3.
4.
5.
1. Given
2.
3.
4.
5.
Geometry/Trig 2 Name: __________________________
Unit 3 Review Packet – Page 4 Date: ___________________________
2
1
Statements Reasons Given: AJ // CK; m1 = m5
Prove: BD // FE
1 2 3
4
5
A C
D
EF
B
J K
