Questions: Plane H is shown. Which points are coplanar and noncollinear? points A and D points C and D points A, C, and D points A, B, and D

Plane H is shown. Which points are coplanar and noncollinear? points A and D points C and D points A, C, and D points A, B, and D
Transcript text: Plane H is shown. Which points are coplanar and noncollinear? points A and D points $C$ and $D$ points A, C, and D points $A, B$, and $D$
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Solution

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Solution Steps

Step 1: Identify the Plane
  • The problem states that Plane H is shown, and all points A, B, C, and D lie on this plane.
Step 2: Define Coplanar and Noncollinear
  • Coplanar points lie on the same plane.
  • Noncollinear points do not all lie on the same straight line.
Step 3: Analyze the Points
  • Points A, C, and D are on the same line within Plane H.
  • Point B is not on the same line as A, C, and D.
Step 4: Determine the Correct Set of Points
  • Points A, B, and D are coplanar (since they all lie on Plane H) and noncollinear (since B is not on the line containing A, C, and D).

Final Answer

  • Points A, B, and D are coplanar and noncollinear.
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