Geometry Unit 2 Note Sheets (Segments, Lines & Angles) - Math with Mills

[Pages:28]Geometry Unit 2 Note Sheets

(Segments, Lines & Angles)

Date Name of Lesson

1.5 Angle Measure

1.4 Angle Relationships

3.6 Perpendicular Bisector (with Construction)

1.4 Angle Bisectors (Construct and Measurements of Angle Bisector) Quiz

3.1 Transversal Measurements

3.1 Parallel Lines with Transversal

3.2 Interior Angles

Quiz

3.2 Exterior Angles

3.2 Corresponding Angles

Class Activity

Quiz

2.6 Algebraic Proofs

2.7, 2.8 Mini Proofs

OC 1.7/3.5 Proofs about Parallel and Perpendicular Lines

Proofs Activity

Quiz

Practice Test

Unit Test

1

Geometry Unit 2 Note Sheets Ray Opposite Rays

(Segments, Lines & Angles) 1.5 Angle Measure Notes

Angle Sides Vertex Naming an Angle

Points on a Plane with an Angle

Guided Practice Use the map of a high school shown to answer the following.

1. Name all angles that have B as a vertex. 2. Name the sides of 3. 3. What is another name for ? 4. Name a point in the interior of .

2

Geometry Unit 2 Note Sheets

(Segments, Lines & Angles)

Your Turn 5. Name all angles that have B as a vertex.

6. Name the sides of 5.

7. Write another name for 6.

Degree

Classify Angles right angle

acute angle

obtuse angle

3

Geometry Unit 2 Note Sheets

(Segments, Lines & Angles)

Guided Practice Classify each angle as right, acute, or obtuse. Then use a protractor to measure the angle to the nearest degree.

8. 9. 10. Your Turn

11. 12. 13.

4

Geometry Unit 2 Note Sheets

Special Angles Pairs Name and Definition Adjacent Angles

(Segments, Lines & Angles) 1.4 Angle Relationships Notes

Examples

Nonexamples

Linear Pair

Vertical Angles

Guided Practice Name an angle pair that satisfies each condition.

1. two acute adjacent angles

2. two obtuse vertical angles

Your Turn 3. two angles that form a linear pair

4. two acute vertical angles

5

Geometry Unit 2 Note Sheets

Angle Pair Relationships Vertical Angles

(Segments, Lines & Angles)

Complementary Angles

Supplementary Angles

Linear Pair

Guided Practice 5. Find the measures of two supplementary angles if the measures of one angles is 6 less than five times the measure of the other angle.

Your Turn 6. Find the measures of two supplementary angles if the difference in the measures of the two angles is 18.

6

Geometry Unit 2 Note Sheets Perpendicular Lines

(Segments, Lines & Angles)

Guided Practice 7. Find x and y so that and are perpendicular.

Your Turn 8. Find x and y so that and are perpendicular.

7

Geometry Unit 2 Note Sheets

(Segments, Lines & Angles)

Interpreting Diagrams

CAN be Assumed

CANNOT be Assumed

All points shown are coplaner

Perpendicular lines:

G, H, J are collinear

Congruent angles

, , , intersect at H

H is between G and J

L is in the interior of and are adjacent

Congruent segments

angles and are a linear pair and are

supplementary

Guided Practice

Determine whether each statement can be assumed from the figure. Explain. 9. and are complementary

10. and are a linear pair

11. is perpendicular to

Your Turn 12. = 90

13. and are supplementary

14. and are adjacent angles 8

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