Lesson 4: Students will learn the Fundamental Theorem of Similarity (FTS)
S.22
The line RS and R'S' are parallel
The length of R'S' will be equal to the length of RS, times the scale factor of 3.
(i.e. |R'S'| = 3|RS|)
Angle ORS = Angle OR'S' and angle OSR = angle OS'R'. They are equal because they are corresponding angles of parallel lines cut by a transversal.
Important!!!
S.23
Piece of notebook paper on S.21
Count 7 lines down from point O. Draw a vertical line along the 7th line. Then measure 8 cm from point O to the line that you drew. Make a point and call that P. Connect point O and P to make the |OP|. Make another point along the line OP at 4 cm and label this point P'.
What is the scale factor?
Follow the previous steps for finding points Q and Q'.
Follow the previous steps for finding points Q and Q'.
Yes, because line P'Q' and line PQ are equidistant from each other. Therefore, they are parallel.
Yes, because line P'Q' and line PQ are equidistant from each other. Therefore, they are parallel.
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