Question

wednesday sep
homework
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

Number of squares = 3, number of circles = 6, number of triangles = 5.

Step2: Check statement a

Ratio of circles to triangles is 6:5, not 5:6, so a is false.

Step3: Check statement b

Number of squares is 3 and number of circles is 6. 3 is $\frac{1}{2}$ of 6, so b is true.

Step4: Check statement c

For every 2 circles there is 1 square since 6 circles and 3 squares, so c is true.

Step5: Check statement d

Ratio of triangles to squares is 5:3, so d is true.

Step6: Find ratio of triangles to circles

Ratio of triangles to circles is 5:6.

Step7: Find ratio of squares to triangles

Ratio of squares to triangles is 3:5.

Answer:

• True statements: b, c, d
• Ratio of triangles to circles: 5:6
• Ratio of squares to triangles: 3:5