Question

student name:
unit 1 - review
date:
(3) fill in the blanks using the available answer choices. name the geometric term modeled by a chessboard.
(4) use tools select the figure that represents the given relationship. $overleftrightarrow{lm}$ and $overleftrightarrow{np}$ are coplanar but do not intersect.
blank 1 options:

• line
• plane
• point

Explanation:

Problem 13 (Assuming it's about naming the geometric model for a chessboard)

A chessboard is a flat, two - dimensional surface that extends infinitely in the context of geometric models (or is a finite representation of a plane - like surface). The geometric model represented by a chessboard is a plane, as a plane is a flat, two - dimensional surface that contains points, lines, etc., and a chessboard has a flat surface with a grid (lines) and squares (regions) similar to a plane's properties.

1. Recall the definition of parallel lines: Coplanar lines that do not intersect are parallel lines.
2. Analyze each figure:

• In the first figure, the lines seem to intersect or are not parallel.
• In the second figure, the lines are not in the same plane (or the representation doesn't show them as coplanar and non - intersecting).
• In the third figure, the lines \(\overleftrightarrow{LM}\) and \(\overleftrightarrow{NP}\) are parallel (coplanar and do not intersect).
• In the fourth figure, the lines intersect.

Step - by - Step:

Step 1: Recall the property of parallel lines

Coplanar lines that do not intersect are parallel lines. So we need to find the figure with two parallel lines.

Step 2: Analyze each figure

• Figure 1: Lines do not appear parallel (may intersect or have a different relationship).
• Figure 2: Lines are not shown as coplanar and parallel.
• Figure 3: Lines \(\overleftrightarrow{LM}\) and \(\overleftrightarrow{NP}\) are parallel (coplanar, same direction, no intersection).
• Figure 4: Lines intersect.

Answer:

plane

Problem 14 (Finding the figure where \(\overleftrightarrow{LM}\) and \(\overleftrightarrow{NP}\) are coplanar but do not intersect)