Question

NO LINKS!! Use the diagram below to answer the following questions Part 5​

Answer 1

1a. BF, CG, DH.

1b. (1) ABF and DCG.

(2) ADH and BCG.

1c. AD, AE, BC, BF, CE, DF.

2a. OP.

2b. JO, KP, LQ, MR.

2c. OPQ.

2d. JK, JN, KL, MN.

Explanation:

A prism is a polyhedron that has:

• Two bases that are congruent and parallel to each other.
• Lateral sides that are parallelograms and link the two bases.
• Height that is the distance between the two bases.

Lines

• Parallel lines are lines on a plane that never meet and are the same distance apart.
• Intersecting lines cross each other in a plane and share a common point called the point of intersection.

• Skew lines are a pair of non-coplanar lines that do not intersect, and are not parallel to each other.

Planes

A plane is a flat, two-dimensional surface that extends into infinity.

A plane can be named by the letters naming three non-collinear points in the plane.

• Parallel planes are planes that never intersect.
• Intersecting planes are not parallel and always intersect along a line.

Question 1

From inspection of the give diagram, the figure appears to be a rectangular prism with bases ABCD and EFGH.

1a. All segments that are parallel to AE are:

• BF, CG and DH.

1b. Two examples of parallel planes:

• (1) ABC and EFG.
• (2) ADH and BCG.

1c. All segments that are skew to GH:

• AD, AE, BC, BF, CE and DF.

Question 2

From inspection of the give diagram, the figure appears to be a pentagonal prism with bases JKLMN and OPQRS.

2a. All segments that are parallel to JK:

• OP.

2b. All segments that are parallel to NS:

• JO, KP, LQ and MR.

2c. A plane that is parallel to plane JKL:

• OPQ.

2d. Four segments that are skew to RQ:

• JK, JN, KL and MN.