3 questions

Question 12
 (Multiple Choice Worth 5 points)

(06.06 HC)  The coordinates of the vertices of two rectangles, Rectangle ABCD and Rectangle PQRS are given below. Rectangle ABCD – A(0, 8), B(8, 8), C(8, -4), D(0, -4)Rectangle PQRS – P(0, 4), Q(4, 4), R(4, -2), S(0, -2) Maria scaled both the rectangles about their centers to create two congruent rectangles A′B′C′D′ and P′Q′R′S′. By which factor did she most likely scale Rectangle ABCD and Rectangle PQRS?

[removed] Rectangle ABCD by  and Rectangle PQRS by 2 to create congruent rectangles of dimensions 4 x 3 units

[removed] Rectangle ABCD by 2 and Rectangle PQRS by 3 to create congruent rectangle of dimensions 3 x 2 units

[removed] Rectangle ABCD by  and Rectangle PQRS by 4 to create congruent rectangles of dimensions 4 x 3 units

[removed] Rectangle ABCD by  and Rectangle PQRS by  to create congruent rectangles of dimensions 2 x 3 units

 

ABCDEF is congruent to PQRSTU in the figure below. They represent the bases of two fountains. If the total length of the brick edge for each fountain is 88 feet, what is the length of side QR?

[removed] 20 feet

[removed] 16 feet

[removed] 10 feet

[removed] 18 feet

 

Question 18
 (Essay Worth 7 points)

(6.05 HC) Look at the polygon below. Part 1. On your own paper, create a tessellation using this polygon. Your tessellation should include a point where 4 such polygons meet. You will NOT turn this part in to your instructor. Part 2. Which transformations did you use? Explain why it is possible to tessellate this figure.