Question

match each drawing on the left with its geometric notation on the right. some of the answer choices on the right may not be used. the movement of the progress bar may be uneven because questions can be worth more or less (including zero) depending on your answer. click and hold an item in one column, then drag it to the matching item in the other column. be sure your cursor is over the target before releasing. clear need help? watch this video.

Explanation:

Step1: Analyze the first drawing (two separate points: X and no Y line)

This represents a single point, so it matches \( x \) (a point).

Step2: Analyze the second drawing (arrow from X to Y, X is a point, Y is a point, arrow from X to Y)

This is a ray starting at X and going through Y? Wait, no, the second left drawing: a line with X as a point, Y as a point, arrow up? Wait, maybe better to recall:

• A point is just a dot: matches \( x \).
• A ray: has one endpoint and goes on infinitely. For example, if a drawing has a dot at X and an arrow, and Y is a point? Wait, let's re - examine the left - hand drawings:
• First left drawing (top right of left column): a single blue dot and an X: this is a point, so matches \( x \).
• Second left drawing (middle right of left column): a line with a blue dot (X) and a blue dot at the bottom (Y), arrow up: this is a ray starting at Y and going through X? Wait, no, the notation \( \overrightarrow{YX} \) is a ray starting at Y and going through X. If the drawing has Y at the bottom, X at the top, and an arrow up, that's \( \overrightarrow{YX} \).
• Third left drawing (middle left of left column): a line with X at the top, Y at the bottom, arrow down, and two blue dots (one at X's level, one at Y's level): this is a segment? No, wait, the notation \( \overline{XY} \) is a segment from X to Y. Wait, maybe I got the drawings wrong. Let's list the left drawings:
• Drawing 1 (topmost left): a single blue dot and an X: point \( x \).
• Drawing 2 (second from top left): a vertical line with a blue dot (X) near the top, a blue dot (Y) near the bottom, and an arrow at the top: this is a ray \( \overrightarrow{XY} \) (starts at X, goes through Y, infinitely in the direction of the arrow).
• Drawing 3 (third from top left): a vertical line with a blue dot (X) near the top, a blue dot (Y) near the bottom, and an arrow at the bottom: this is a ray \( \overrightarrow{YX} \) (starts at Y, goes through X, infinitely in the direction of the arrow).
• Drawing 4 (bottom left): a vertical line with a blue dot (X) in the middle, a blue dot (Y) at the bottom, and an arrow at the top: this is a line \( \overleftrightarrow{XY} \) (extends infinitely in both directions).
• Drawing 5 (wait, the left column has four drawings? Wait, the user's image: left column has four drawings? Let's re - check the geometric notations on the right: \( \overrightarrow{YX} \), \( \overleftrightarrow{XY} \), \( \overrightarrow{XY} \), \( \overline{XY} \), \( x \).

• Drawing with only X (dot): matches \( x \).
• Drawing with X at top, Y at bottom, arrow up: \( \overrightarrow{XY} \) (ray from X through Y).
• Drawing with Y at bottom, X at top, arrow down: \( \overrightarrow{YX} \) (ray from Y through X).
• Drawing with X in middle, Y at bottom, arrow up and down: \( \overleftrightarrow{XY} \) (line through X and Y, infinite in both directions).
• Drawing with X and Y as endpoints (no arrows): \( \overline{XY} \) (segment from X to Y).

Step3: Match each drawing

• Single point (X): \( x \)
• Ray from X through Y (arrow up, X at top, Y at bottom): \( \overrightarrow{XY} \)
• Ray from Y through X (arrow down, Y at bottom, X at top): \( \overrightarrow{YX} \)
• Line through X and Y (arrows up and down, X in middle, Y at bottom): \( \overleftrightarrow{XY} \)
• Segment from X to Y (two endpoints, X at top, Y at bottom, no arrows): \( \overline{XY} \)

Answer:

• Single - point drawing (X): \( x \)
• Ray \( \overrightarrow{XY} \) - drawing: matches the drawing with X at top, Y at bottom, arrow up.
• Ray \( \overrightarrow{YX} \) - drawing: matches the drawing with Y at bottom, X at top, arrow down.
• Line \( \overleftrightarrow{XY} \) - drawing: matches the drawing with X in middle, Y at bottom, arrows up and down.
• Segment \( \overline{XY} \) - drawing: matches the drawing with X and Y as endpoints (no arrows).