Triangle Similarity

Use ratios and corresponding parts in triangle similarity.

Lesson 3 of 53 parts Practice Flashcards

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AA Similarity

Objective: Solve problems involving aa similarity.

Two equal angle pairs establish triangle similarity by AA.

Worked examples

Try itTwo triangles have corresponding angle pairs 31° and 41° equal. Which test proves similarity?Show answer

AA similarity. Two matching angle pairs suffice for AA similarity.

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Objective: Solve problems involving aa similarity.

Two equal angle pairs establish triangle similarity by AA.

Worked examples

Try itTwo triangles have corresponding angle pairs 31° and 41° equal. Which test proves similarity?Show answer

AA similarity. Two matching angle pairs suffice for AA similarity.

Objective: Solve problems involving sas similarity.

Two proportional side pairs and equal included angles establish SAS similarity.

Worked examples

Try itTwo triangles have corresponding side pairs (3,6) and (4,8) with equal included angles. Which similarity test applies?Show answer

SAS similarity. Two side ratios are both 1:2 and the included angles match.

Objective: Solve problems involving sss similarity.

Three proportional side pairs establish SSS similarity.

Worked examples

Try itSides of one triangle are 4, 5, 6; another has 8, 10, 12. Which similarity test applies?Show answer

SSS similarity. Each corresponding side ratio is 1:2.

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