2 Similar Polygons Corresponding angles are congruent. Corresponding sides are proportionalCorresponding angles are congruent.Which means what about the overall shape of the figure?Same SHAPE, different SIZE
3 Example ABCD ~ TPOR Similarity Statement: Identifies similar polygons and corresponding partsJust like when congruent, order isgiven in the statement~ means similarKey to Solving: Find the Scale FactorScale Factor: Corresponding sides in the figure that both have a measurement
4 What is the scale factor from TPOR to ABCD?RatioDenominatorNumerator
5 Solve for Missing Sides: Set up proportions, be consistent (sides are proportional when similar)Follow ABCD to TPORSolve for zSolve for XScale FactorSolve for yZ is an angle.Angles are CONGRUENT5x = 24x = 4.840 = 3z-2060 = 3z20 = z25 = 3y8.3 = y
6 ABC ~ EDCALWAYS RE-DRAW if corresponding parts are not matched upSolve for x, y and z
8 A dilation is a transformation that changes the size of a figure but not its shape. The pre-image and the image are always similar shapes.A scale factor for a dilation with a center at the origin is k, which is found bymultiplying each coordinate by k: (a, b) (ka, kb).
9 A (1,4) A ‘ (2,8) B (5,1) B ‘(10,2) C (0,0) C ‘ ( 0,0) Given Triangle ABC, graph the imageOf ABC with a scale factor of 2.(2x, 2y)Pre-ImageImageA (1,4)A ‘ (2,8)B (5,1)B ‘(10,2)C (0,0)C ‘ ( 0,0)
11 Triangle ABC has vertices A ( 0,0) , B( 4,0) , C (0,5). Graph it If the coordinates of each vertex of ABC are increased by 2,will the new triangle be similar to triangle ABC (Graph it)? Why or why not?2) If the coordinates of each vertex of Triangle ABC are multiplied by 2,will the new triangle be similar to Triangle ABC (Graph it)? Why or why not?