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(2) Identify when sides and angles of a triangle are either congruent or proportional

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(2) Identify when sides and angles of a triangle are either congruent or proportional

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(2) A line parallel to one side of a triangle divides the other two proportionally and conversely.

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(2) A line parallel to one side of a triangle divides the other two proportionally and conversely.

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(3) Utilize cross multiplication to test if corresponding sides are proportional

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(3) Utilize cross multiplication to test if corresponding sides are proportional

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(7) The Pythagorean Theorem can be proven through triangle similarity

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(7) The Pythagorean Theorem can be proven through triangle similarity

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(3) Solve a proportion with a missing value through cross multiplication and division

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(3) Solve a proportion with a missing value through cross multiplication and division

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(7) Prove the Pythagorean Theorem through triangle similarity

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(7) Prove the Pythagorean Theorem through triangle similarity

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(4) Two triangles are similar if all three sides of one triangle are proportional to the three sides of the second triangle

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(4) Two triangles are similar if all three sides of one triangle are proportional to the three sides of the second triangle

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(5) Set ratios of proportional sides of a triangle and test similarity

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(5) Set ratios of proportional sides of a triangle and test similarity

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(5) Calculate the lengths of two sides of a triangle given the third side and a similar triangle

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(5) Calculate the lengths of two sides of a triangle given the third side and a similar triangle

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(6)Two triangles with two equivalent angles are similar

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(6)Two triangles with two equivalent angles are similar

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(6)Two triangles are similar if two sides and the included angle of one triangle are proportional to two sides and the included angle of another triangle

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(6)Two triangles are similar if two sides and the included angle of one triangle are proportional to two sides and the included angle of another triangle

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Proportionality means the equality of two ratios

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Proportionality means the equality of two ratios

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Ratio is a comparison between two numbers and it indicates how many times one number contains another

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Ratio is a comparison between two numbers and it indicates how many times one number contains another

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Similar triangles are the same shape, but not necessarily the same size or orientation

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Similar triangles are the same shape, but not necessarily the same size or orientation

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Converse means a statement formed by switching the hypothesis and the conclusion of an argument.

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Converse means a statement formed by switching the hypothesis and the conclusion of an argument.

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(8) Construct similar triangles by drawing perpendicular lines from the vertex to the hypotenuse of a right triangle

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(8) Construct similar triangles by drawing perpendicular lines from the vertex to the hypotenuse of a right triangle

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(9) Distinguish similarity theorems from each other (SAS, SSS, AA)

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(9) Distinguish similarity theorems from each other (SAS, SSS, AA)

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(9) Determine: if two triangles are similar using similarity theorems

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(9) Determine: if two triangles are similar using similarity theorems

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(10) Write a correctly structured and logically sound proof to exemplify knowledge of the SSS, SAS, and AA triangle theorems

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(10) Write a correctly structured and logically sound proof to exemplify knowledge of the SSS, SAS, and AA triangle theorems