Dilations, similarity, and special right triangls

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What is a dilation in geometry?

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A dilation is a transformation that alters the size of a figure but maintains its shape. It can be either an enlargement (scale factor greater than 1) or a reduction (scale factor less than 1).

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It indicates that triangle AHD is similar to triangle KTP, meaning their corresponding angles are equal and their corresponding sides are in proportion.

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What is the SAS similarity criterion?

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The SAS (Side-Angle-Side) similarity criterion states that if two sides of one triangle are proportional to two sides of another triangle and the included angles are equal, then the triangles are similar.

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What is the SSS similarity criterion?

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The SSS (Side-Side-Side) similarity criterion states that if the corresponding sides of two triangles are in proportion, then the triangles are similar.

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What is the AA similarity criterion?

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The AA (Angle-Angle) similarity criterion states that if two angles of one triangle are equal to two angles of another triangle, then the triangles are similar.

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If the scale factor of a dilation is 0.5, what type of dilation is it?

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It is a reduction, as the scale factor is less than 1.

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If the scale factor of a dilation is 2, what type of dilation is it?

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It is an enlargement, as the scale factor is greater than 1.

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What is the relationship between the angles of similar triangles?

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The corresponding angles of similar triangles are equal.

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What is the relationship between the sides of similar triangles?

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The corresponding sides of similar triangles are in proportion.

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