Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

3. use the diagram to the right to name the following. a) three coplana…

Question

  1. use the diagram to the right to name the following. a) three coplanar points. yvw or zyv or zvw or zwx or zyx b) a plane containing point x. plane r c) the intersection of plane r and plane zvy. line vy d) how many planes appear in the figure? 5 e) how many planes contain point w? 3

Explanation:

Step1: Identify coplanar points

Coplanar points lie on the same plane. Looking at the figure, points Y, V, W, Z are coplanar. So for part a), the answer is based on observing these coplanar - point combinations.

Step2: Locate point X

For part b), we find all planes that contain point X. Plane R is one such plane.

Step3: Determine plane intersection

For part c), we look at the intersection of plane R and plane ZVY. The intersection is the line segment VY.

Step4: Count planes in the figure

For part d), by observing the figure, we can count 5 planes.

Step5: Locate point W

For part e), we count the planes that contain point W. There are 3 such planes.

Answer:

a) YVW or ZVW or ZWY or ZWX or ZYX
b) Plane R
c) Line VY
d) 5
e) 3