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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