Unit 7, Lesson 5

Lines, Angles, and Curves

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Integrated Math 2

Practice

Problem 1

Find the measures of $x, y,$ and $z$.

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Problem 2

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

a diameter
a chord that is not a diameter
a radius

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Problem 3

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$^\circ$.

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Problem 4

ForLesson 13: Weighted Averages in a Triangle

Triangle $ABC$ has vertices at $(5,0), (1,6),$ and $(9,3)$. What is the point of intersection of the triangle’s medians?

The medians do not intersect at a single point.
$(3,3)$
$(5,3)$
$(3,4.5)$

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Problem 5

ForLesson 12: Weighted Averages

Consider the parallelogram with vertices at $(0,0), (8,0), (4,6),$ and $(12,6)$. Where do the diagonals of this parallelogram intersect?

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Problem 6

ForLesson 13: Completing the Square and Complex Solutions

The graph shows the equation $y = \text-2x^2-3x+1$.

<p>Parabola y = negative 2x squared minus 3x + 1. Parabola opens down. Crosses x axis at 2 points. Y intercept at (0 comma 1).</p>

Based on the graph, how many real solutions are there to the equation $\text-2x^2-3x+1=0$?
Based on the graph, how many real solutions are there to the equation $\text-2x^2-3x+1=4$?

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Problem 7

ForLesson 3: Completing the Square

Find the center and radius of the circle represented by the equation $x^2+y^2-8y+5=0$.

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Lines, Angles, and Curves

Practice

Problem 1

Problem 2

Problem 3

Problem 4

Problem 5

Problem 6

Problem 7

Lesson 5 Resources