Do Now! Take out IMN, Textbook, and a pencil. Take out your Similar - - PDF document

Week 4 08.21.17 Day 2 Linear and Angle Relationship.notebook 1 August 24, 2017

Do Now!

• Take out IMN, Textbook, and a pencil.
• Take out your Similar Figures WS. If it is completed, Make sure

your name is on it and place it in a stack in the middle of your group! Learning Target: I can identify angle relationships formed by two intersecting lines. Standards: MGSE8G5 Use informal arguments to establish facts about the angle sum and exterior angle of triangles, about the angles created when parallel lines are cut by a transversal, and the angle-angle criterion for similarity of triangles.

Week 4 08.21.17 Day 2 Linear and Angle Relationship.notebook 2 August 24, 2017 Work Time:

• EDpuzzle, "Lesson 4.1 & 4.2 Line and

Angle Relationships"

• Linear and Angle Relationships

Vocabulary Foldable

• Similar Figure Practice WS DUE

TODAY!

• Practice Problems #1-7 (WS)
• Transformations test corrections

need to be completed by Friday, August 25.

IMN p. 16

Linear and Angle Relationships

• For each term:

describe/define and give an example.

Adjacent Angles Vertical Angles Supplementary Angles Linear Pairs

• f Angles

Complementary Angles Intersecting Lines Perpendicular Lines Parallel Lines

IMN p. 16

Linear and Angle Relationships

• Using a piece of notebook paper to create an eight tab foldable.
• Add the following titles to each of the eight tabs.
• For each term: describe/define and give an example.

Adjacent Angles Vertical Angles Supplementary Angles Linear Pairs

• f Angles

Complementary Angles Intersecting Lines Perpendicular Lines Parallel Lines

Week 4 08.21.17 Day 2 Linear and Angle Relationship.notebook 3 August 24, 2017

Angles that share a side next to each

• ther

Two angles whose measures have a sum of 90 degrees Angles that share a vertex, they are across from each

• ther

Lines in a plane that intersect, or cross each

• ther

Two angles whose measures have a sum of 180 degrees

Lines that intersect at a right angle symbol:

Two adjacent angles that form a straight line

Lines that lie in the same plane and do not intersect no matter how far they extend. They do not share any points. symbol:

Inside of Foldable

Solving for Unknown Angle Measures

• 1. The angles shown are a linear pair of angles. Solve for x.
• 2. The angles shown are supplementary. Solve for x.
• 3. If two angles are both congruent and supplementary,

what are their measures? Explain your reasoning.

4x x

22 x

Week 4 08.21.17 Day 2 Linear and Angle Relationship.notebook 4 August 24, 2017

• 4. If the supplement of an angle is half the measure of the

angle, what is the measure of each angle?

• 5. If the supplement of an angle is 20 degrees more than

the measure of the angle, what is the measure of each angle?

• 6. Sara understands supplementary angles and linear pairs.

She said she understands why m 1 = m 3 + m 4 in the figure shown. Sara's lab partner, Sean sees no connection between m 1 and m 3 + m 4 because those angles aren't next to each other. Explain to Sean what Sara discovered.

• 7. If two intersecting lines form congruent adjacent angles,

what can you conclude about the lines?

1 2 3 4

Week 4 08.21.17 Day 2 Linear and Angle Relationship.notebook 5 August 24, 2017

Talk the Talk Lesson 4.2

• 1. Two intersecting lines determine how many angles?
• 2. Two intersecting lines determine how many pairs of vertical

angles?

• 3. Two intersecting lines determine how many pairs of

supplementary angles?

• 4. Two intersecting lines determine how many linear pairs of

angles?

• 5. Two intersecting lines determine how many pairs of adjacent

angles?

• 6. Suppose two lines intersect. If you are given the measure of
• ne angle, can you determine the measures of the remaining

angles without using a protractor? Explain your reasoning.

• 7. If angle 1 is the supplement of angle 2, angle 3 is the

supplement of angle 4, and angle 1 is congruent to angle 3, what can you conclude about the measures of angle 2 and angle 4? Write this conclusion in a general form.

Week 4 08.21.17 Day 2 Linear and Angle Relationship.notebook 6 August 24, 2017

• 8. Suppose angle 1 is the supplement of angle 2, and angle 2 is the supplement of

angle 3.

• a. What can you conclude about the measure of angle 1 and the measure of

angle 3?

• b. Write this conclusion in a general form.
• 9. When two lines intersect, four different angles are formed as shown.

Homework

• Watch video "Lesson 4.3 Angle

Relationships Formed by a Transversal", take notes and complete assessment.

• Complete Practice Problems from class