Section A Practice Problems

Problem 1

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

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Solution

Sample response:

dot paper solution

Problem 2

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

    4 sided shape on grid. all sides have the same length, corners are not square.
  2. Is the shape a rectangle? Explain your reasoning.
  3. Is the shape a square? Explain your reasoning.
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Solution
  1. Yes. Sample response: All 4 sides are equal.
  2. No. Sample response: The corners are not square.
  3. No. Sample response: The corners are not square.

Problem 3

  1. Draw 4 different lines through points on the grid. At least 2 of the lines should cross another line.
    image of dot paper
  2. Mark at least 3 different segments in your drawing.
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Solution
Sample response:

a.
dot paper drawing

b.
dot paper drawing

Problem 4

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

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

  2. Draw 4 rays that surround a rectangle.
  3. Can you find 4 different rays that surround the same rectangle?
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Solution
Sample response:
  1. See image.
  2. See image.
  3. Yes, I can switch the direction of the arrows on the 4 rays.

dot paper solution

Problem 5

Andre says that these 2 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.
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Solution
Sample response:
  1. The parts of these lines that are drawn do not meet, but they will meet if they are extended farther.
  2. Drawing shows a line parallel to one of the two lines in the image.

Problem 6

  1. Which segments of the letter Z are a pair of parallel lines? Draw the lines.
  2. Sketch a line that is parallel to the third segment in the Z.

image of the letter z

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Solution

Sample responses:

  1. The top and the bottom segments
  2. See second image.

solution

solution

Problem 7

 

triangle. two acute angles and one angle about 90 degrees

  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 the angle. Extend the rays as far as you can. (You can use a different colored pencil for this pair of rays.)
  3. Do you see other angles that you didn’t see before? If so, label each one with a letter.
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Solution
Sample response for all three parts:

Problem 8

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?”

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Solution

Sample response: A, K, V, X, Y

Problem 9

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. (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 in the painting.
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Solution
Sample responses:
  1. I see a lot of quadrilaterals and a couple of triangles. I can put together two of the quadrilaterals to get a pentagon.
  2. Some of the sides of the quadrilaterals look like they are parallel.
  3. There are angles in the triangles and the quadrilaterals, and also in other shapes, like the buttons.

painting