This lesson engages students in graphing polygons that are similar and then has the students compare the measures of corresponding sides and the measure of corresponding angles.
• Students first graph a quadrilateral, given the coordinates of its vertices. Then they name the quadrilateral and find various measures related to the polygon.
• Students are then asked to graph a second quadrilateral, given the coordinates of its vertices. They find similar measures related to the second polygon. Students are asked to conjecture about what the relationship is between the two polygons.
• Students study the coordinates of the two polygons to see if there is a relationship between corresponding coordinates. After collecting all the information about the two polygons the students are told that they have performed a dilation of polygon 1 to polygon 2.
• The activity continues by having the students perform additional dilations with other quadrilaterals. As they build the dilations, they continue to observe relationships between the two polygons.
• By connecting corresponding vertices of similar polygons students locate the center of dilation.
The activity is made up of four related parts and a summary.
Comments from buyers:
• Great investigation!
• Good Activity.
• Students love it!
• Excellent resource. Thanks!