roboto refer to the diagrams at the right. 13.) name the intersection of line ℓ and line m __________ 14.) name the intersection of plane m and plane n __________ 15.) name the plane in which point c lies __________ 16.) are points a, b, c, and d coplanar? explain your answer. #13 - 16

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Accepted Answer

### Question 13
# Explanation:
## Step1: Recall intersection of lines
Two lines intersect at a point. From the diagram, line $ \ell $ and line $ m $ intersect at point $ A $.
# Answer:
Point $ A $

### Question 14
# Explanation:
## Step1: Recall intersection of planes
Two planes intersect in a line. From the diagram, plane $ M $ and plane $ N $ intersect along line $ n $ (or the line containing points $ B $ and the intersection point, which is line $ n $ or the line through $ B $ as shown).
# Answer:
Line $ n $ (or the line containing point $ B $ and the intersection, typically the line marked $ n $ or the line through $ B $ shared by both planes)

### Question 15
# Explanation:
## Step1: Identify plane for point C
From the diagram, point $ C $ lies on plane $ M $ (the blue vertical plane).
# Answer:
Plane $ M $

### Question 16
# Explanation:
## Step1: Recall coplanar definition
Coplanar points lie on the same plane. Point $ A $ is on plane $ N $, points $ B, C $ are on plane $ M $, and point $ D $ is on plane $ N $. Since $ A $ and $ D $ are on $ N $, $ B $ and $ C $ on $ M $, and $ M $ and $ N $ are different planes, not all four points lie on the same plane.
# Answer:
No. Points $ A $ and $ D $ lie on plane $ N $, points $ B $ and $ C $ lie on plane $ M $. Since $ M $ and $ N $ are distinct planes, $ A, B, C, D $ do not all lie on a single plane, so they are not coplanar.

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QUESTION IMAGE

Question

Explanation:

Question 13

Step1: Recall intersection of lines

Step1: Recall intersection of planes

Step1: Identify plane for point C

Answer:

Question 14