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9-12 Geometry Unit 7 Lesson 1

Gradeband

K-5 Math 6-8 Math •9-12 Math

Course

Algebra 1 •Geometry Algebra 2 Extra Support Materials for Algebra 1

Unit

Unit 1 Unit 2 Unit 3 Unit 4 Unit 5 Unit 6 •Unit 7 Unit 8

Modeling Prompts

Lesson

•Lesson 1 Lesson 2 Lesson 3 Lesson 4 Lesson 5 Lesson 6 Lesson 7 Lesson 8 Lesson 9 Lesson 10 Lesson 11 Lesson 12 Lesson 13 Lesson 14

K-5
6-8
9-12

Algebra 1
Geometry
Algebra 2
Extra Support Materials for Algebra 1

Integrated Math 1
Integrated Math 2
Integrated Math 3

Unit 1
Unit 2
Unit 3
Unit 4
Unit 5
Unit 6
Unit 7
Unit 8

Modeling Prompts

Lesson 1
Lesson 2
Lesson 3
Lesson 4
Lesson 5
Lesson 6
Lesson 7
Lesson 8
Lesson 9
Lesson 10
Lesson 11
Lesson 12
Lesson 13
Lesson 14

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Unit 7, Lesson 1

Lines, Angles, and Curves

Geometry

Practice

Problem 1
Student Task Statement

Find the measures of and .

Circle with center A. Diameter is drawn. Central angles z and 20 degrees are formed along the diameter. Arc y is opposite central angle z. Arch x is opposite central angle of 20 degrees.

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Problem 2

Student Task Statement

Give an example from the image of each kind of segment.

a diameter
a chord that is not a diameter
a radius

<p>Circle with center A.</p>

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Problem 3

Student Task Statement

Identify whether each statement must be true, could possibly be true, or definitely can’t be true.

A diameter is a chord.
A radius is a chord.
A chord is a diameter.
A central angle measures 90.

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Problem 4

ForLesson 17: Lines in Triangles

Student Task Statement

Write an equation of the altitude from vertex .

<p>Triangle ABC graphed. A = 2 comma 1, B = -1 comma 4, C = 8 comma 2. altitude drawn from vertex A to side BC.</p>

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Problem 5

ForLesson 16: Weighted Averages in a Triangle

Student Task Statement

Triangle has vertices at and . What is the point of intersection of the triangle’s medians?

The medians do not intersect at a single point.

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Problem 6

ForLesson 15: Weighted Averages

Student Task Statement

Consider the parallelogram with vertices at and . Where do the diagonals of this parallelogram intersect?

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Problem 7

ForLesson 10: Parallel Lines in the Plane

Student Task Statement

Lines and are parallel. Select all true statements.

<p><span class="math">\(\text{Parallel lines }l \text{ and }p \text{ on a coordinate plane, origin } O\)</span></p>

Triangle is congruent to triangle .

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Problem 8

ForLesson 7: Angle-Side-Angle Triangle Congruence

Student Task Statement

Mai wrote a proof that triangle is congruent to triangle . Mai's proof is incomplete. How can Mai fix her proof?

We know side is congruent to side and angle is congruent to angle . By the Angle-Side-Angle Triangle Congruence Theorem, triangle is congruent to triangle .

<p>Triangles ADE and CBE meet only at point E. Angles A and C are congruent. Sides AE and CE are congruent.</p>

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Lesson 1 Resources

Student Materials

The slope of line is equal to the slope of line .

Triangle is similar to triangle .