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In this lesson, we will learn how to identify the relationships between two lines in three-dimensional figures.

Q1:

Using the cube below, decide which of the following describe the relative position of the straight lines ⃖ ⃗ 𝐴 𝐵 and ⃖ ⃗ 𝐷 𝐷 ′ .

Q2:

Consider the cuboid 𝐴 𝐵 𝐶 𝐷 𝐸 𝐹 𝐺 𝐻 , where 𝐴 𝐵 ≠ 𝐵 𝐶 ≠ 𝐴 𝐸 .

What can be said about 𝐸 𝐹 and 𝐹 𝐺 ?

What can be said about 𝐴 𝐸 and 𝐶 𝐺 ?

What can be said about 𝐵 𝐷 and 𝐷 𝐻 ?

What can be said about 𝐵 𝐷 and 𝐴 𝐶 ?

Q3:

Using the cube below, decide which of the following describe the relative position of the straight lines ⃖ ⃗ 𝐴 𝐵 and ⃖ ⃗ 𝐷 ′ 𝐶 ′ .

Q4:

Consider the right pentagonal prism 𝐴 𝐵 𝐶 𝐷 𝐸 𝐹 𝐺 𝐻 𝐼 𝐽 .

What can be said about 𝐶 𝐷 and 𝐻 𝐼 ?

What can be said about 𝐴 𝐵 and 𝐵 𝐺 ?

What can be said about 𝐴 𝐷 and 𝐷 𝐼 ?

What can be said about 𝐷 𝐻 and 𝐶 𝐼 ?

Q5:

Using the cube below, decide which of the following describe the relative position of the straight lines ⃖ ⃗ 𝐴 𝐶 and ⃖ ⃗ 𝐴 ′ 𝐶 .

Q6:

Using the rectangular prism below, decide which of the following is skew to 𝐶 𝐺 .

Q7:

Complete: Two intersecting lines make angles.

Q8:

Identify the missing phrase from the given sentence.

“Two lines, in the same plane, that do not intersect are said to be .”

Q9:

Which of the following lists consists of three lines through the point 𝐴 ?

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