Triangle Similarity

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What is Triangle Similarity?

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Triangle similarity refers to the property of two triangles having the same shape but not necessarily the same size. This means that their corresponding angles are equal and their corresponding sides are in proportion.

Tags

CCSS.HSG.CO.B.6

CCSS.8.G.A.2

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What does AA Similarity stand for?

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AA Similarity stands for 'Angle-Angle Similarity'. It states that if two angles of one triangle are equal to two angles of another triangle, then the triangles are similar.

Tags

CCSS.HSG.SRT.B.5

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What does SSS Similarity stand for?

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SSS Similarity stands for 'Side-Side-Side Similarity'. It states that if the three sides of one triangle are in proportion to the three sides of another triangle, then the triangles are similar.

Tags

CCSS.HSG.SRT.B.5

Front

What does SAS Similarity stand for?

Back

SAS Similarity stands for 'Side-Angle-Side Similarity'. It states that if two sides of one triangle are in proportion to two sides of another triangle and the included angles are equal, then the triangles are similar.

Tags

CCSS.HSG.SRT.B.5

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How can you determine if two triangles are similar using AA Similarity?

Back

To determine if two triangles are similar using AA Similarity, check if two angles of one triangle are equal to two angles of the other triangle.

Tags

CCSS.HSG.SRT.B.5

Front

How can you determine if two triangles are similar using SSS Similarity?

Back

To determine if two triangles are similar using SSS Similarity, measure the lengths of the corresponding sides and check if the ratios of the sides are equal.

Tags

CCSS.HSG.SRT.B.5

Front

How can you determine if two triangles are similar using SAS Similarity?

Back

To determine if two triangles are similar using SAS Similarity, measure two sides of each triangle and check if the ratios are equal, while ensuring the included angles are equal.

Tags

CCSS.HSG.SRT.B.5

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What is the significance of similar triangles in geometry?

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Similar triangles are significant in geometry because they allow for the use of proportional reasoning to solve problems involving lengths, areas, and other geometric properties.

Tags

CCSS.HSG.SRT.A.2

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Can two triangles be similar if one is a right triangle and the other is not?

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Yes, two triangles can be similar even if one is a right triangle and the other is not, as long as their corresponding angles are equal.

Tags

CCSS.HSG.SRT.A.2

Front

What is the relationship between the areas of similar triangles?

Back

The areas of similar triangles are proportional to the square of the lengths of their corresponding sides.