Math 2 Unit 7 Notes and Homework Packet

Name: ______Class: ______

Math 2 – Unit 7 Notes and Homework Packet

Day 1: Basics of Geometry

Segment:
Line:
Angle: / Congruent / Congruent Segments
Midpoint / Segment Bisector / Perpendicular Lines
Perpendicular Bisector / Congruent Angles / Angle Bisector
Complementary Angles / Supplementary Angles / Linear Pair
Vertical Angles / Right Angles / Right Triangle
Reflexive Property of Congruence / Transitive Property of Congruence

Draw the given pictures. Label all points.

1. is the midpoint of . / 2. Lines and intersect at point . / 3. bisects.
4. One angle has a measure of 50o and another has a measure of xo. The two form a linear pair / 5. Line is perpendicular to , and they intersect at point . Line is also perpendicular to , intersecting at point / 6. andare complementary.
7. bisects / 8. has 2 congruent angles, and / 9. Angles and are vertical angles.
10.and are parallel. Point G is the midpoint of . / 11. One angles has a measure of x + 45o, another has a measure of 2xo, and a 3rd had an angle of x – 1o. All 3 make a linear pair. / 12. is a right triangle, where is a right angle. and are congruent.

Day 2: Parallel Lines and Angle Relationships

Parallel Lines: ______

Transversal: ______

Angle Relationships formed by a Parallel Line and a Transversal

Corresponding Angles
______
______ / Alternate Interior Angles
______
______
Alternate Exterior Angles
______
______ / Consecutive Interior Angles
______
______

Practice:

1. 2. 3.

4. 5. 6.

Homework 7.2

Name the Angle Pair Relationships!

Supplementary Angles, Vertical Angles, Alternate Interior Angles, Alternate Exterior Angles, Corresponding Angles, Consecutive Interior Angles, or No Relationship

Angles 1 and 4: ______

Angles 1 and 5: ______

Angles 4 and 5: ______

Angles 6 and 7: ______

Angles 5 and 7: ______

Angles 6 and 8: ______

Angles 2 and 8: ______

Angles 2 and 6: ______

Day 3: Angles Relationship Proofs

Vertical Angles are ______

Corresponding Angles are ______

Alternate Interior Angles are ______

Alternate Exterior Angles are ______

Consecutive Angles are ______

Lines l and m are parallel.

1. If , which other anglesare also 34º2. If and , what

is the ?

3. If and , 4. If and , what

what is the ? is the ?

5. If and , 6. If and , what

what is the ? is the ?

Classwork/Homework 7.3

1. 2.

X = ______X = ______

Reason: ______Reason: ______

3. 4.

X = ______X = ______

Reason: ______Reason: ______

5. 6.

X = ______

X = ______Reason: ______

Reason: ______Reason: #2: ______

Day 4: Triangle Sum Theorem

Triangle Sum Theorem: ______

1. 2.

X = ______X = ______

3. 4.

X = ______X = ______

5. 6.

X = ______X = ______, Y = ______, W = ______

7. X = ______

Y = ______

W = ______

Homework 7.4

Use the triangle sum theorem to solve for the missing angles.

1. 2.

______

3. 4.

______

5. 6.

______

Day 5: Similar Triangles

Similar Triangles have ______ANGLES and ______SIDES

3 Ways to Prove that 2 Triangles are SIMILAR:

1. ______(AA) - ______

2. ______(SAS) - ______

3. ______(SSS) - ______

1. 2.