Question

Which statement is true about the diagram? A line has points A, K, B, T. The distance from A to B is 10, the distance from K to B is 5, and the distance from B to T is 4. K is the midpoint of AB. B is the midpoint of KT. AK = BT AB = KT

Answer 1

The statement "AB = KT" is true about the diagram

Explanation:

The statement "AB = KT" is true about the diagram.

Here's why:

1. Given that K is the midpoint of AB, it means that AK is equal in length to KB. Since AK = KB and BT is given as 4, we can conclude that AB = AK + KB = 2KB = 10 (because the distance from A to B is 10).

2. Given that B is the midpoint of KT, it means that BT is equal in length to TK. Since BT = 4 and BT = TK, it follows that KT = BT + TK = 4 + 4 = 8.

So, AB = 10 and KT = 8, which means AB is not equal to KT. However, AK = KB, as K is the midpoint of AB.

Answer 2

Answer: A

K is the midpoint of AB

Explanation:

It's pretty self-explanatory but as you look at the diagram and the options all other options get canceled out because A is correct because K IS THE MIDPOINT OF LINE SEGMENT AB as you see on the diagram.