triangle similarity: angle angle. recall recall the definitions of the following: similar congruent...

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Triangle Similarity: Angle Angle

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There’s another way There are other ways to prove figures are similar Today we are looking at triangle similarity Mainly involving the angle-angle similarity postulate

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Page 1: Triangle Similarity: Angle Angle. Recall Recall the definitions of the following: Similar Congruent Also recall the properties of similarity we discussed

Triangle Similarity:

Angle Angle

Page 2: Triangle Similarity: Angle Angle. Recall Recall the definitions of the following: Similar Congruent Also recall the properties of similarity we discussed

Recall

• Recall the definitions of the following:• Similar• Congruent

• Also recall the properties of similarity we discussed yesterday• Corresponding angles in similar figures are congruent• The ratio of corresponding sides in a figure are equal

Page 3: Triangle Similarity: Angle Angle. Recall Recall the definitions of the following: Similar Congruent Also recall the properties of similarity we discussed

There’s another way

• There are other ways to prove figures are similar• Today we are looking at triangle similarity • Mainly involving the angle-angle similarity postulate

Page 4: Triangle Similarity: Angle Angle. Recall Recall the definitions of the following: Similar Congruent Also recall the properties of similarity we discussed

Angle-Angle similarity postulate• If two angles of one triangle are

congruent to two angles of another triangle, then the two triangles are similar

• This postulate allows you to say that two triangles are similar if you know that two pairs of angles are congruent.

• You don’t need to compare all of the side lengths and angle measures to show that two triangles are similar.

Page 5: Triangle Similarity: Angle Angle. Recall Recall the definitions of the following: Similar Congruent Also recall the properties of similarity we discussed

Third Angle Theorem

• If two angles in one triangle are congruent to two angles in another triangle, then the third angles must be congruent also.

Page 6: Triangle Similarity: Angle Angle. Recall Recall the definitions of the following: Similar Congruent Also recall the properties of similarity we discussed

Using the AA similarity postulate

• Determine whether the triangles are similar. If they are similar, write a similarity statement. Explain your reasoning.

Page 7: Triangle Similarity: Angle Angle. Recall Recall the definitions of the following: Similar Congruent Also recall the properties of similarity we discussed

Using the AA similarity postulate

• Are you given enough information to show that ∆RST is similar to ∆RUV? Explain your reasoning.

Page 8: Triangle Similarity: Angle Angle. Recall Recall the definitions of the following: Similar Congruent Also recall the properties of similarity we discussed

Determine whether the triangles are similar. If they are similar, write a similarity statement.

Page 9: Triangle Similarity: Angle Angle. Recall Recall the definitions of the following: Similar Congruent Also recall the properties of similarity we discussed

Using AA postulate to find the missing side

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