Illustrative Mathematics - Geometry - Unit 6 - Lesson 6 - Formative Library | Library

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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.

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

Draggable item		Corresponding Item
x^{2}-16x+?		16
x^{2}-8x+?		100
x^{2}+20x+?		64
x^{2}+9x+?		20.25

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Find the center and radius of the circle represented by the equation x^{2}+y^{2}+4x-10y+20=0.

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Select all the expressions that can be factored into a squared binomial.

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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.

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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?

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

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