Triangles Theorems

​ Triangle Similarity Theorem

YEAR 9​

​If two angles in one triangle are congruent to two angles in another triangle, then the two triangles are similar.

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AA Theorem

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​If two sides in one triangle are proportional to two sides in another triangle and the included angle in both are congruente, then the two triangles are similar

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SAS Theorem

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If all three pairs of corresponding sides of two triangles are proportional, then the two triangles are similar

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SSS Theorem

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Multiple Choice

What similarity theorem would prove that these triangles are similar?

• AA

• SAS

• SSS

• ASA

Multiple Choice

What similarity theorem would prove that these triangles are similar?

• AA

• SAS

• SSS

• ASA

Multiple Choice

What similarity theorem would prove that these triangles are similar?

• AA

• SAS

• SSS

• ASA

Multiple Choice

What similarity theorem would prove that these triangles are similar?

• AA

• SAS

• SSS

• ASA

Multiple Choice

What similarity theorem would prove that these triangles are similar?

• AA

• SAS

• SSS

• ASA

Multiple Choice

What similarity theorem would prove that these triangles are similar?

• AA

• SAS

• SSS

• ASA

Multiple Choice

What similarity theorem would prove that these triangles are similar?

• AA

• SAS

• SSS

• ASA

Multiple Choice

Find the value of x.

• 10

• 9

• 35.5

• 22.5

Multiple Choice

Find the value of x.

• 10

• 8

• 35

• 12

Multiple Choice

Find the measure of BD.

• 13

• 18

• 19

• 25

• 29