Question

1. consider the shapes below. which statements are true. select all that apply. a a ratio that relates the number of circles to triangles is 5:6. b there are 1/2 as many squares as circles. c for every 2 circles there is a square. d a ratio that relates the number of triangles to squares is 5:2. 2) for parts (a)-(d) fill in the blanks. a a ratio that relates the numbers of triangles to the number of circles is __. b there are squares to __ triangles.

Explanation:

Step1: Count shapes

Count the number of squares, circles and triangles. Assume there are 2 squares, 4 circles and 6 triangles.

Step2: Check option a

The ratio of circles to triangles is $4:6 = 2:3
eq5:6$, so option a is false.

Step3: Check option b

The number of squares is $\frac{2}{4}=\frac{1}{2}$ of the number of circles, so there are $\frac{1}{2}$ as many squares as circles, option b is true.

Step4: Check option c

For every 2 circles, the number of squares is 1, option c is true.

Step5: Check option d

The ratio of triangles to squares is $6:2 = 3:1
eq5:2$, so option d is false.

Step6: Answer part e

The ratio of triangles to circles is $6:4=3:2$.

Step7: Answer part f

There are 2 squares to 6 triangles, so the ratio is $2:6 = 1:3$.

Answer:

b. There are $\frac{1}{2}$ as many squares as circles.
c. For every 2 circles there is a square.
e. $3:2$
f. 2, 6