Question

in the rectangular prism shown below, which lines are intersecting? select all that apply. cd and dh, gj and cd, de and gh, de and dh. lesson: parallel and perpendicular lines. parts of three - dimensional figures. not feeling ready yet? these can help: work it out. parallel, perpendicular, and intersecting lines

Explanation:

Step1: Recall definition of intersecting lines

Intersecting lines share a common - point.

Step2: Analyze $\overrightarrow{CD}$ and $\overrightarrow{DH}$

They share point $D$, so they are intersecting.

Step3: Analyze $\overrightarrow{GJ}$ and $\overrightarrow{CD}$

They do not share any common - point in the prism, so they are not intersecting.

Step4: Analyze $\overrightarrow{DE}$ and $\overrightarrow{GH}$

They do not share any common - point in the prism, so they are not intersecting.

Step5: Analyze $\overrightarrow{DE}$ and $\overrightarrow{DH}$

They share point $D$, so they are intersecting.

Answer:

$\overrightarrow{CD}$ and $\overrightarrow{DH}$, $\overrightarrow{DE}$ and $\overrightarrow{DH}$