Here is triangle ABC.[img]https://cdn.openupresources.org/uploads/pictures/8/8.2.A2.newPP.Image.05.png[/img][list=1][*]Dilate each vertex of triangle ABC using P as the center of dilation and a scale factor of 2. Draw the triangle connecting the three new points.[/*][*]Dilate each vertex of triangle ABC using P as the center of dilation and a scale factor of 12. Draw the triangle connecting the three new points.[/*][*]Measure the longest side of each of the three triangles. What do you notice?[/*][*]Measure the angles of each triangle. What do you notice? (Question for S2)[/*][/list]
Solution[img]https://cdn.openupresources.org/uploads/pictures/8/8.2.A2.newPP.Image.06.png[/img][list=1][*]Triangle A′B′C′ has each respective point at the same ray. A′ is 4 units from the origin, B′ is 8 units from the origin, and C′ is 6 units from the origin.[/*][*]Triangle A″B″C″ has each respective point at the same ray. A″ is 1 unit from the origin, B″ is 2 units from the origin, and C″ is 1.5 units from the origin.[/*][*]The longest side of the largest triangle is twice as long as the longest side of triangle ABC, which is twice as long as the smallest triangle.[/*][*]The angles in all three triangles have the same measures.[/*][/list]