prev

next

of 19

View

26Download

0

Tags:

Embed Size (px)

DESCRIPTION

Similarity Theorems. Similarity in Triangles. Angle-Angle Similarity Postulate (AA~) - If two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar. W. V. S. 45 . 45 . WRS BVS because of the AA~ Postulate. R. B. - PowerPoint PPT Presentation

SIMILARITY THEOREMS

Similarity in TrianglesAngle-Angle Similarity Postulate (AA~)- If two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar.WRS BVS because of the AA~ Postulate.

Similarity in TrianglesSide-Angle-Side Similarity Postulate (SAS~)- If an angle of one triangle is congruent to an angle of a second triangle, and the sides including the angles are proportional, then the triangles are similar.TEA CUP because of the SAS~ Postulate.The scale factor is 4:3.

Similarity in TrianglesSide-Side-Side Similarity Postulate (SSS~)- If the corresponding sides of two triangles are proportional, then the triangles are similar.ABC QRS because of the SSS~ Postulate.The scale factor is 1:5.

Are the following triangles similar? If so, what similarity statement can be made. Name the postulate or theorem you used.Yes, FGH KJH because of the AA~ Postulate

Are the following triangles similar? If so, what similarity statement can be made. Name the postulate or theorem you used.

Are the following triangles similar? If so, what similarity statement can be made. Name the postulate or theorem you used.AXYBC20252530

Are the following triangles similar? If so, what similarity statement can be made. Name the postulate or theorem you used.Yes, APJ ABC because of the SSS~ Postulate.

Explain why these triangles are similar. Then find the value of x.4.5xThese 2 triangles are similar because of the AA~ Postulate. x=7.5

Explain why these triangles are similar. Then find the value of x.These 2 triangles are similar because of the AA~ Postulate. x=2.557011033x

Explain why these triangles are similar. Then find the value of x.221424x

Explain why these triangles are similar. Then find the value of x.These 2 triangles are similar because of the AA~ Postulate. x= 12x629

Explain why these triangles are similar. Then find the value of x.These 2 triangles are similar because of the AA~ Postulate. x=8154x5

Explain why these triangles are similar. Then find the value of x.These 2 triangles are similar because of the AA~ Postulate. x= 15187.512x

Please complete the Ways to Prove Triangles Similar Worksheet.

Side Splitter Theorem - If a line is parallel to one side of a triangle and intersects the other two sides, then it divides those sides proportionally.Similarity in Triangles

TheoremIf three parallel lines intersect two transversals, then the segments intercepted are proportional.

TheoremTriangle Angle Bisector Theorem -If a ray bisects an angle of a triangle, then it divides the opposite side on the triangle into two segments that are proportional to the other two sides of the triangle.

Please complete pg. 449: 1-24, 31-33.