Question

Janet graphed a triangle on the coordinate grid shown.
y
x
-1
-2
-3
-4
1 2 3 4
4
3
2
1
-4 -2 -3 -1
A B
C
Janet rotated the triangle 90° clockwise about the origin to create figure A'B'C'. What are the
coordinates of the vertices of the figure A'B'C' after the rotation?
A. A' (–4, –4)
B' (–4, –2)
C' (–1, –2)
B. A' (4, 4)
B' (2, 4)
C' (2, 1)
C. A' (–4, –4)
B' (–2, –4)
C' (–2, –1)
D. A' (4, 4)
B' (4, 2)
C' (1, 2)
3. The choir director set up chairs for the concert with an equal number of rows and columns.
The number of chairs in each row and column is represented by the algebraic expression y,
where y is the total number of chairs. What is the number of chairs in each row and
column if y = 81 chairs?
A. 3 chairs
B. 9 chairs
C. 40.5 chairs
D. 162 chairs

Answer 1

Answer:

’y’ is NOT the number of chairs in each row and column. It’s the TOTAL number of

chairs, so it’s the product of (chairs in each row) times (chairs in each column).

The problem says that those numbers are equal. So we would expect the TOTAL

to be a perfect square, and the number in each row and each column to be the

square root of the total. Since the total is 81, the number in each row and column

could be either +9 or -9. Both answers are mathematically correct, but -9

doesn’t make sense in the real world. So we know that +9 is the real answer.

Answer 2

Answer:

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