A, B, C, and D are points on a line, and the lengths of the line segments are: AB = 12, BC = 4, CD = 7, and DA = 15. Which of the following is a possible order for the points?

A.A,B,C,D

B. A,C,D,B

C. A,D,C,B

D. A,C,B,D

ACBD

D. A,C,B,D.

A, B, C, and D are points on a line, and the lengths of the line segments are: AB = 12, BC = 4, CD = 7, and DA = 15. Which of the following is a possible order for the points?

A.A,B,C,D

B. A,C,D,B

C. A,D,C,B

D. A,C,B,D•Math - Steve, Tuesday, July 22, 2014 at 7:36pm
ACBD

•Math - Henry, Tuesday, July 22, 2014 at 7:43pm
D. A,C,B,D.

Can someone please explain how they got this answer? Thanks.

A. A, B, C, D

Draw a square, follow the rule of a line segment and place the lenghts. example:_
AB=12.

To determine which of the given options is a possible order for the points A, B, C, and D, we can analyze the given information about the lengths of the line segments.

First, we know that the length of AB is 12, which means that the distance between points A and B is 12 units.

Next, we know that the length of BC is 4, which means that the distance between points B and C is 4 units.

Similarly, CD has a length of 7, indicating that the distance between points C and D is 7 units.

Finally, we have the length of DA, which is 15, implying that the distance between points D and A is 15 units.

Based on this information, let's evaluate the given options:

A. A,B,C,D: In this option, the distance between A and B is 12, B and C is 4, and C and D is 7. However, the distance between D and A is not 15, so this is not a possible order.

B. A,C,D,B: In this option, the distance between A and C is unknown, C and D is unknown, and D and B is unknown. Therefore, this option cannot be evaluated accurately based on the given information.

C. A,D,C,B: In this option, the distance between A and D is 15, D and C is 7, and C and B is unknown. However, the information about the distance between A and B is missing, so this option cannot be determined based on the given information alone.

D. A,C,B,D: In this option, the distance between A and C is unknown, C and B is unknown, and B and D is unknown. Because we lack information about the lengths of multiple line segments, this option cannot be evaluated accurately.

Therefore, based on the given information, it is not possible to determine a valid order for the points A, B, C, and D.