Question

as part of a map, sarah drew a ray with three points labeled g, h, and j on it. the ray sarah drew started at point g and had point h between g and j. which could be part of the map sarah drew? a ray that starts at point h and passes through point j. a line segment that starts at point g, passes through point j, and ends at point h. a right angle containing rays gh and gj. a ray that starts at point h and passes through points j and g.

Explanation:

Step1: Analyze the ray structure

The ray starts at \( G \), with \( H \) between \( G \) and \( J \), so the order is \( G - H - J \) on the ray (direction from \( G \) through \( H \) to \( J \)).

Step2: Evaluate Option A

A ray starting at \( H \) and passing through \( J \): Since \( H \) is between \( G \) and \( J \), the ray from \( H \) through \( J \) is consistent with the original ray's direction (as \( J \) is beyond \( H \) from \( G \)'s perspective).

Step3: Evaluate Option B

A line segment starting at \( G \), passing through \( J \), and ending at \( H \): But \( H \) is between \( G \) and \( J \), so the segment should end at \( J \) if starting at \( G \) and passing through \( H \), not \( H \) after \( J \). This is inconsistent.

Step4: Evaluate Option C

A right angle with rays \( GH \) and \( GJ \): \( GH \) and \( GJ \) are colinear (same ray), so they can't form a right angle (needs two non - colinear rays).

Step5: Evaluate Option D

A ray starting at \( H \) and passing through \( J \) and \( G \): The original ray goes from \( G \) to \( H \) to \( J \), so a ray from \( H \) through \( G \) would be opposite to the original direction, inconsistent.

Answer:

A. A ray that starts at point H and passes through point J.