Question

identifying rays and segments
which statements are true? check all that apply.
line xy contains ray ox and ray oy.
line xy contains segment yx.
ca and ac are different segments.
ray ba exists in the diagram.
ray yx exists in the diagram.

Explanation:

Step1: Recall ray and segment definitions

A ray has one - endpoint and extends infinitely in one direction. A segment has two endpoints. A line extends infinitely in both directions.

Step2: Analyze "Line XY contains ray OX and ray OY"

Ray OX starts at O and goes through X, ray OY starts at O and goes through Y. But line XY doesn't contain these rays as they have a different starting - point (O) not on the line XY itself. So this statement is false.

Step3: Analyze "Line XY contains segment YX"

A line contains all the segments with endpoints on it. Segment YX has endpoints Y and X which are on line XY. So this statement is true.

Step4: Analyze "CA and AC are different segments"

A segment is defined by its two endpoints. CA and AC have the same two endpoints A and C, so they are the same segment. This statement is false.

Step5: Analyze "Ray BA exists in the diagram"

There are points A and B in the diagram. Ray BA starts at B and extends through A. So this statement is true.

Step6: Analyze "Ray YX exists in the diagram"

There are points X and Y in the diagram. Ray YX starts at Y and extends through X. So this statement is true.

Answer:

Line XY contains segment YX.
Ray BA exists in the diagram.
Ray YX exists in the diagram.