Introduction to Dilations Reductions Worksheet

Name ______Period ______Date ______

Introduction to Dilations –Reductions Worksheet

·  Label point P as “center of dilation”

·  Label triangle DEF as “preimage”

·  Draw a segment from point P to point D. This is segment PD () .

·  Repeat with segment PE (), and segment PF ().

·  Measure (m) to the nearest tenth of a centimeter. m = ______cm

·  Multiply m cm by . times m = ______cm

·  Draw point D’ to form segment PD’ that is equal in length to times m = ______cm.

·  Repeat the same procedure for segment PE () and segment PF ().

m = ______cm times m = ______cm Draw point E’.

m = ______cm times m = ______cm Draw point F’.

·  Connect points D’, E’, and F’ to form image triangle D’E’F’.

·  Find the following measures to the nearest tenth of a centimeter.

m= ______cm m= ______cm

m= ______cm m= ______cm

m= ______cm m= ______cm

·  Write a sentence making a conclusion about the lengths of the sides of triangle DEF and triangle D’E’F’. How does this conclusion relate to the lengths of segment PD and segment PD’, etc.?

·  Use measurements that you found earlier for , , and

·  Multiply m cm by . times m = ______cm

·  Draw point D” to form segment PD” that is equal in length to times m = ______cm.

·  Repeat the same procedure for segment PE () and segment PF ().

m = ______cm times m = ______cm Draw point E”.

m = ______cm times m = ______cm Draw point F”.

·  Connect points D”, E”, and F” to form image triangle D”E”F”.

·  Find the following measures to the nearest tenth of a centimeter.

m= ______cm (use previous measurement) m= ______cm

m= ______cm m= ______cm

m= ______cm m= ______cm

·  Write a sentence making a conclusion about the lengths of the sides of triangle DEF and triangle D”E”F”. How does this conclusion relate to the lengths of segment PD and segment PD”, etc.?