Question

homework wednesday september
① consider the shapes below. which statements are true. select all that apply
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② a ratio that relates the number of circles to triangles is 5:6
③ there are 1/2 as many squares as circles
④ for every 2 circles there is 1 square
⑤ a ratio that relates the number of triangles to squares is 5:3
⑥ for parts (a - d) fill in the blanks
⑦ a ratio that relates the numbers of triangles to the number of circles is
⑧ there are _ squares to _ triangles

Explanation:

Step1: Count the shapes

Count the number of squares, circles and triangles. There are 5 squares, 6 circles and 5 triangles.

Step2: Check each statement

Statement A

The ratio of circles to triangles is 6:5, not 5:6, so this is false.

Statement B

The number of squares is $\frac{5}{6}$ of the number of circles, not $\frac{1}{2}$, so this is false.

Statement C

For every 6 circles there are 5 squares, not for every 2 circles there is 1 square, so this is false.

Statement D

The ratio of triangles to squares is 5:5 = 1:1, not 5:3, so this is false.

Step3: Answer part (e)

The ratio of triangles to circles is 5:6.

Step4: Answer part (f)

The ratio of squares to triangles is 5:5 = 1:1.

Answer:

e. 5:6
f. 1 square to 1 triangle