11/20/24 Warm Up Exploring Similarity and Expressions

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Combine like terms: 5x - 2x + 6 + 4 = 3x + 10.

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CCSS.6.EE.A.3

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It means that the corresponding angles are equal and the sides are in proportion.

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CCSS.HSG.SRT.A.2

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Combine like terms: 4x + 2x - 3 + 5 = 6x + 2.

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CCSS.7.EE.A.1

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CCSS.HSG.SRT.A.2

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What are the coordinates of the image after a dilation with a scale factor of 2 centered at the origin for the triangle with vertices at (1, 2), (3, 4), and (5, 6)?

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The new coordinates are (2, 4), (6, 8), and (10, 12).

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CCSS.8.G.A.3

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What is the definition of similar figures in geometry?

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Similar figures have the same shape but may differ in size; their corresponding angles are equal and their corresponding sides are proportional.

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CCSS.8.G.A.2

CCSS.HSG.CO.B.6

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What is the formula for finding the scale factor between two similar figures?

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Scale factor = Length of a side in the image / Length of the corresponding side in the original figure.

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CCSS.7.G.A.1

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How do you determine if two triangles are similar using the Angle-Angle (AA) criterion?

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If two angles of one triangle are equal to two angles of another triangle, the triangles are similar.

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CCSS.HSG.SRT.A.2

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Combine like terms: 3x - 2x + 4 + 1 = x + 5.

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CCSS.7.EE.A.1

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What is the relationship between the sides of similar triangles?

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The ratios of the lengths of corresponding sides of similar triangles are equal.

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CCSS.HSG.SRT.A.2