Illustrative Mathematics - Geometry - Unit 6 - Lesson 6

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13 Nsɛmmisa

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Illustrative Mathematics - Geometry - Unit 6 - Lesson 6

Last updated over 1 year ago

13 Nsɛmmisa

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}+20x+?		16
x^{2}+9x+?		100
x^{2}-8x+?		64
x^{2}-16x+?		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?

The image is congruent to the original triangle.

The image is similar but not congruent to the original triangle.

The image is neither similar nor congruent to the original triangle.

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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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