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Question 12 (Multiple Choice Worth 5 points)

(06.06 HC) <object:standard:ma.912.g.2.4>
 
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 1 by 2 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 1 by 4 and Rectangle PQRS by 4 to create congruent rectangles of dimensions 4 x 3 units

[removed] Rectangle ABCD by 1 by 4 and Rectangle PQRS by 1 by 2 to create congruent rectangles of dimensions 2 x 3 units

 

<object:standard:ma.912.g.2.3>ABCDEF is congruent to PQRSTU in the figure below. They represent the bases of two fountains.
 
Two six sided polygons ABCDEF and PQRSTU are drawn. AF makes an obtuse angle with FE at F. BC makes an obtuse angle with CD at C. PU makes an obtuse angle with UT at U. QR makes an obtuse angle with RS at R. Measures of sides of ABCDEF are: AB is 10 feet, CD is 16 feet, DE is 10 feet, FA is 18 feet, and FE is 18 feet.

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)<object:standard:ma.912.g.2.4> 

Look at the polygon below.

An isosceles trapezoid. The base angles measure 50 degrees each. The other pair of angles measures 130 degrees each. 

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.

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