Question

Which of the changes would keep the hanger in balance? Select all that apply.

Balanced hanger. Left side, 1 triangle and 1 square. Right side, 2 circles and 1 triangle.
A. Adding two circles on the left and a square on the right

B. Adding 2 triangles to each side

C. Adding two circles on the right and a square on the left

D. Adding a circle on the left and a square on the right

E. Adding a triangle on the left and a square on the right

Answer 1

Answer

a,b,c

As per picture one square is equal to 2 circles. To keep balance same amount to be added to both sides

a. Adding two circles on the left and a square on the right

b. Adding 2 triangles to each side

c. Adding two circles on the right and a square on the left.

Answer 2

Only the changes in option A will balance the hanger.

Given:

a hanger as shown in the figure below

To Find:

the changes that will keep the hanger in balance

Solution:

let us evaluate each option one by one-

A. if we add two circles to the left and a square to the right,

on the left side, we will have: 1 square, 1 triangle, and 2 circles

on the right side, we will have: 1 square, 1 triangle, and 2 circles

⇒ the hanger will be balanced

B. if we add two triangles to each side,

on the left side, we will have: 1 square, 3 triangles

on the right side, we will have: 3 triangles, and 2 circles

⇒ the hanger will not be balanced

C. if we add two circles to the right and a square to the left,

on the left side, we will have: 2 squares, 1 triangle

on the right side, we will have: 1 triangle, and 4 circles

⇒ the hanger will not be balanced

D. if we add a circle on the left and a square on the right,

on the left side, we will have: 1 square, 1 triangle, and 1 circle

on the right side, we will have: 1 triangle, 1 square, and 2 circles

⇒ the hanger will not be balanced

E. if we add a triangle on the left and a square on the right,

on the left side, we will have: 1 square, 2 triangles

on the right side, we will have: 1 triangle, 1 square, and 2 circles

⇒ the hanger will not be balanced

Thus, only the changes in option A will balance the hanger.

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