Lesson 5Problem 1Quadrilateral ABCD is dilated with center (0,0), taking B to B′. Draw A′B′C′D′.[img]https://cdn.openupresources.org/uploads/pictures/8/8.2.A.PP.Image.10.3.png[/img]Solution[img]https://cdn.openupresources.org/uploads/pictures/8/8.2.A.PP.Image.10.2.png[/img]Problem 2Triangles B and C have been built by dilating Triangle A.[img]https://cdn.openupresources.org/uploads/pictures/8/8.2.A5.newPP.Image.01.png[/img][list=1][*]Find the center of dilation.[/*][*]Triangle B is a dilation of A with approximately what scale factor?[/*][*]Triangle A is a dilation of B with approximately what scale factor?[/*][*]Triangle B is a dilation of C with approximately what scale factor?[/*][/list]Solution[list=1][*]The center of dilation is here:[img]https://cdn.openupresources.org/uploads/pictures/8/8.2.A5.newPP.Image.02.png[/img][/*][*]3[/*][*]13[/*][*]23[/*][/list]Problem 3Here is a triangle.[list=1][*]Draw the dilation of triangle ABC, with center (0,0), and scale factor 2. Label this triangle A′B′C′.[/*][*]Draw the dilation of triangle ABC, with center (0,0), and scale factor 12. Label this triangle A″B″C″.[/*][*]Is A″B″C″ a dilation of triangle A′B′C′? If yes, what are the center of dilation and the scale factor?[/*][/list][img]https://cdn.openupresources.org/uploads/pictures/8/8.2.A.PP.Image.22.png[/img]Solution[list=1][*] [img]https://cdn.openupresources.org/uploads/pictures/8/8.2.A.PP.Image.23.png[/img][/*][*] [img]https://cdn.openupresources.org/uploads/pictures/8/8.2.A.PP.Image.24.png[/img][/*][*]Yes, A″B″C″ is a dilation of A′B′C′ with center (0,0) and scale factor 14.[/*][/list]Problem 4(from Unit 1, Lesson 15)Triangle ABC is a right triangle, and the measure of angle A is 28∘. What are the measures of the other two angles? Solution90∘ and 62∘