Illustrative Mathematics - Geometry - Unit 6 - Lesson 6
By Formative Library
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Last updated 7 months ago
13 questions
Suppose a classmate missed the lessons on completing the square to find the center and radius of a circle. Explain the process to them. If it helps, use a problem you’ve already done as an example.
Suppose a classmate missed the lessons on completing the square to find the center and radius of a circle. Explain the process to them. If it helps, use a problem you’ve already done as an example.
Match each expression with the value needed in the box in order for the expression to be a perfect square trinomial.
Match each expression with the value needed in the box in order for the expression to be a perfect square trinomial.
Draggable item | arrow_right_alt | Category |
---|---|---|
x^{2}-8x+? | arrow_right_alt | 16 |
x^{2}-16x+? | arrow_right_alt | 100 |
x^{2}+9x+? | arrow_right_alt | 64 |
x^{2}+20x+? | arrow_right_alt | 20.25 |
Find the center and radius of the circle represented by the equation x^{2}+y^{2}+4x-10y+20=0.
Find the center and radius of the circle represented by the equation x^{2}+y^{2}+4x-10y+20=0.
Select all the expressions that can be factored into a squared binomial.
Select all the expressions that can be factored into a squared binomial.
An equation of a circle is given by (x+3)^{2}+(y-9)^{2}=5^{2}. Apply the distributive property to the squared binomials and rearrange the equation so that one side is 0.
An equation of a circle is given by (x+3)^{2}+(y-9)^{2}=5^{2}. Apply the distributive property to the squared binomials and rearrange the equation so that one side is 0.

The triangle whose vertices are (3,-1),(2,4), and (5,1) is transformed by the rule (x,y)\rightarrow(2x,5y). Is the image similar or congruent to the original figure?
The triangle whose vertices are (3,-1),(2,4), and (5,1) is transformed by the rule (x,y)\rightarrow(2x,5y). Is the image similar or congruent to the original figure?
