Section A: Practice Problems Points, Lines, Segments, Rays, and Angles

Section Summary

Details

In this section, we learned the meanings of points, lines, line segments, and rays. We used these terms to describe figures and used these geometric parts to create drawings.

dot paper solution

We learned about lines that cross—intersecting lines—and lines that never do—parallel lines, and we looked for examples of intersecting lines and parallel lines and segments in life.

photo of railroad tracks
drawing of railroad tracks
photo of a ladder
image of a door. drawn with many straight lines creating many angles.


Finally, we learned that an angle is a figure made up of two rays that share the same endpoint, and that the shared point is the vertex of the angle.

image of angle, vertex labeled as vertex

Problem 1 (Pre-Unit)

Draw a rectangle on the grid and label it A. Draw a triangle and label it B. Draw a hexagon and label it C.

blank dot paper

Problem 2 (Pre-Unit)

4 sided shape on grid. all sides have the same length, corners are not square.

  1. Is the shape a rhombus? Explain your reasoning.

  2. Is the shape a rectangle? Explain your reasoning.

  3. Is the shape a square? Explain your reasoning.

Problem 3 (Lesson 1)

  1. Draw 4 different lines through points on the grid. At least two of the lines should cross another line.

  2. Mark at least 3 different segments in your drawing.

image of dot paper

Problem 4 (Lesson 2)

image of the letter A on dot paper created by 3 segments

  1. Circle the line segments that make up the letter A.

  2. Draw 4 rays that surround a rectangle.

  3. Can you find 4 different rays that surround the same rectangle?

Problem 5 (Lesson 3)

Andre says that these two lines are parallel because they do not intersect.

dot paper drawing. 2 lines slanted at different angles.

  1. Explain why Andre is not correct.

  2. Draw a line that is parallel to one of the lines in the image.

Problem 6 (Lesson 4)

  • Which segments of the letter Z are a pair of parallel lines? Draw the lines.

  • Sketch a line that is parallel to the third segment in the Z.

image of the letter z

Problem 7 (Lesson 5)

  1. Find one angle in the figure. Draw a pair of rays to show the angle and extend them as far as you can.

  2. Find another angle in the figure. Draw a pair of rays to show it. Extend the rays as far as you can. (If you’d like, you can use a different colored pencil for this pair of rays.)

  3. Now that you have drawn some rays, do you see other angles that you didn’t see before? If you see one or more, label each one with a letter.

triangle. two acute angles and one angle about 90 degrees

Problem 8 (Exploration)

Here is a riddle. Can you solve it?

“I am a capital letter made of more than 1 segment with no curved parts. I have no perpendicular segments or parallel segments. What letter could I be?”

Problem 9 (Exploration)

painting of a person. There are different sets of lines visible within the painting.

  1. Name or describe any shapes that you recognize in the painting.

  2. Do you see any parallel lines? If so, trace or circle them. (If you’d like, you can use a different colored pencil for each set of parallel lines.)

  3. Are there any angles in the painting? If so, mark them or describe where they are.