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Illustrative Mathematics - Geometry - Unit 6 - Lesson 7

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Last updated 2 months ago
11 Questions
1.

The point (6,y) is the same distance from (4,1) as it is from the x-axis. What is the value of y?

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2.

A parabola is defined as the set of points the same distance from (6,2) and the line y=4. Select all points that are on this parabola.

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3.

Compare and contrast the parabolas with these definitions.
  • parabola A: points that are the same distance from (0,4) and the x-axis
  • parabola B: points that are the same distance from (0,-6) and the x-axis

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4.

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

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5.

Match each expression with the value needed in the box in order for the expression to be a perfect square trinomial.

49
\frac{1}{16}
25
\frac{1}{4}
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6.
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9.

Write an equation of a circle that is centered at (1,-4) with a radius of 10.

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10.

The density of water is 1 gram per cm3. An object floats in water if its density is less than water’s density, and it sinks if its density is greater than water’s.

Will a solid bar of soap shaped like a rectangular prism with mass 1.048 kilograms and dimensions 5.6 centimeters, 13 centimeters, and 16 centimeters float or sink? Explain your reasoning.

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11.

Jada has this idea for bisecting angle ABC. First she draws a circle with center B through A. Then she constructs the perpendicular bisector of AD.

Does Jada's construction work? Explain your reasoning. You may assume that the perpendicular bisector of line segment AD is the set of points equidistant from A and D.

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This lesson is from Illustrative Mathematics. Geometry, Unit 6, Lesson 7. Internet. Available from https://curriculum.illustrativemathematics.org/HS/teachers/2/6/7/index.html ; accessed 29/July/2021.

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