Question

Proving Segment Relationships

1. FAMILY Maria is 11 inches shorter than her sister

Nancy. Brad is 11 inches shorter than his brother

Chad. If Maria is shorter than Brad, how do the

heights of Nancy and Chad compare? What if Maria

and Brad are the same height?

Answer 1

Nancy's height is greater than Chad's height.

Step-by-step explanation:

To determine how the heights of Nancy and Chad compare, we need to analyze the given information. We know that Maria is 11 inches shorter than Nancy, and Brad is 11 inches shorter than Chad. Additionally, we know that Maria is shorter than Brad. Based on this information, we can conclude that Nancy's height is greater than Chad's height. The height comparison remains the same regardless of whether Maria and Brad are the same height or not.

Answer 2

Step-by-step explanation:

Let the height of Maria = M inches

Height of Nancy = N inches

Height of Brad = B inches

Height of Chad = C inches

Since Maria is 11 inches shorter than Nancy,

So, M = N - 11 ------(1)

Brad is 11 inches shorter than his brother Chad.

So, B = C - 11 -------(2)

If Maria is shorter x inches shorter than Brad

Then M = B - x -----(3)

Now we replace the value of M from equation (3) to equation (1)

B - x = N - 11

B = N + x - 11

Now we place the value of B from equation (2)

C - 11 = N + x - 11

C = N + x --------(4)

That reveals that Nancy is shorter than Chad.

If Maria and Brad are of same height, that means M = B or x = 0 [from equation (3)]

From equation (4),

N = C

Heights of Nancy and Chad will be same.