January 08, 2018

HW ✓: 2-19 to 2-23

2-20 See below

a. ∠B and ∠C must be congruent because they are the angles opposite the two congruent sides (legs).

b. If the m∡B + m∡C = 124, then m∡B must be half of that or 62. If the angles are equal, then you would divide the total in half.

c. The angle that is a linear pair with x is equal to 71° because it is one of the base angles of the isosceles triangle whose other base angle is 71°. Since these angles are a linear pair, x must equal 109° because they are supplementary.

January 08, 2018

Quiz Time: 1/8/18• Do only your own work. Show all work.• Use only your own INB, pencil, eraser,

scientific calculator; NO SHARING.• No phones out when quizzes are out• Turn quiz over when finished for me to

collect; then, preview Lesson 2.1.3.• If you want to access accommodations

for extended time/alternative location, please write where to route your quiz, and/or Room Number & date/time where & when you will complete the quiz, such as, "➔ Rebecca ➔ Jordan," or, "Finish in Rm 704, 9/15 @ 3:35."

January 08, 2018

Objective(s): You will use properties of transformations to discover more geometric angle pair relationships with known angle measure relationships.

Agenda:• HW Review (Teams)• HW Quiz (Individual)• Quiz / MN Review (Class)• 2.1.3 Activity (Teams)

> Review 2-17f & 2-18> 2-24 to 2-26 in spiral> 2-30 on foldable in INB (add angle

measure relationships & when [under what conditions] they hold true)

• Record/Begin HW (Class/Independent):> 2-31 to 2-36;> MN Systems of Equations CPM95/INB13;> Angle Relationships Tlkt (foldable) INB51;> Questions & Summaries for MN;> Ch 1 Quiz 1/12

January 08, 2018

Quiz Review:

Please ...• Phones away until after I've collected all

returned quizzes & review has ended;• See Rubric on back of Course Outline;• Let me collect all quizzes from tables;• Ask me to put any on top for which you

want to follow-up during Office Hours.

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CPM

pg

88

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INB pg 16C

PM 8

8

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d & z, a & w, c & y

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2-17. See below.a. x = 135° (corresponding angles), y = 135° (vertical angles)b. y = 45° (straight angle pair), not enough information for xc. x = 135° (corresponding angles), y = 45° (straight angle pair)d. x = 45° (straight angle pair), not enough information for ye. No, corresponding angles have equal measure only when the lines

intersected by the transversal are parallel.f. If lines are parallel, then corresponding angles have equal

measure.g. If lines are parallel, then corresponding angles are congruent

because there is a rigid transformation that carries one angle onto the other (translation).

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a

c

b

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Core

≅

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Core

≅

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2-24b

AB ≅ BC

∠A ≅ ∠C

"Side AB is congruent to side BC."

"Angle A is congruent to angle C."

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CoreRecord 2-25 as notes.

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Core

a & b: Alternate Interior Angles

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2-25b

Translated angle forms a linear-pair (straight angle), ∴ supplementary.

∠a and ∠b are "same-side interior angles".

Translated angle forms a vertical angle, ∴ congruent.

∠a and ∠b are "alternate-exterior angles".

Translated angle forms a linear-pair (straight angle), ∴ supplementary.

January 08, 2018

CoreRecord 2-26 as notes.

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Core

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Ext.

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CoreTogether: Draw Diagrams & Record Answers

• Phones away until after you've left room.

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Core

a. congruent b/c angle d is reflection of angle c.

b. congruent b/c they are vertical.

c. congruent b/c if c=d & c=e then d=e by substitution.

d. Since c is = to both d & e then d=e

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Core

Triangle Angle Sum

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2-30 Angle Relationships ToolkitFor each pair of angles:• Draw a diagram with the angles marked a and b.• State the relationship between the angle measures (i.e. congruent or supplementary)• Write an equation to represent the relationship between angles a and b. • State any conditions that are necessary for the angle measure relationship to be true (such as lines must be parallel).

January 08, 2018

HW: 2-31 to 2-36;MN Systems of Equations (CPM 95) INBp13;Angle Relationships Toolkit (foldable) INBp51;Questions & Summaries for MN;Ch 1 Quiz 1/12