ZMath 150  - Unit 23: Understanding Geometric Concepts
For the first seven problems, view the descriptions of the geometric shapes in the Geometry Vocabulary link in the unit area, and then state the term that identifies each figure. Choose the terms from the word bank provided below.

1) Identify the geometric figure.

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2) The lines in the given figure are what type of lines?

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3) Identify the geometric figure.

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4) The lines in the given figure are what type of lines?

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5) Identify the geometric figure.

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6) The lines in the given figure are what type of lines?

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7) Identify the geometric figure.

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8) Activity:  Draw a large triangle on paper, and then cut it out.  At each of the corners of the triangle, there is an angle.  Tear each of the angles away from the triangle and place the angles side by side so that the vertices (plural of vertex) are all touching.   See the unit link to Sums of the Angles in a Triangle to see if the figure you created is the same as the one shown in the link. Now answer the following questions:  (a) What is the sum of the three angles of your triangle? (b) Write a statement that is true about the three angles in any triangle.

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9) In a triangle, one angle measures 40 degrees and a second angle measures 110 degrees. What is the measure of the third angle?  Explain how you found the answer.

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10) In a rectangle, there are four (4) ninety-degree angles. What is the sum of the angles in a rectangle?

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For the next four problems, refer to the diagram below. Use the letters at the corners of the path to name the segments.

11) Find a line segment that is the same length as segment AB.

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12) Name four (4) segments that, when put together, are the same length as segment JI.

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13) Name all segments that measure a length of one unit.

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14) Name the longest segment.

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Activity:  The design shown below was made using pattern blocks.  Pattern blocks include four shapes:  trapezoids (red), parallelograms (blue), triangles (green), and hexagons (yellow). There is a page of pattern blocks provided in the unit link titled Pattern Blocks. Print out a page of pattern blocks, cut out the ones that you need, and recreate the given design. Refer to this design to answer the next three questions.

Red - Trapezoid        Blue - Parallelogram        Green - Triangle        Yellow - Hexagon<


15) Find a trapezoid that is larger than the basic red trapezoid. The larger trapezoid will be made up of several smaller shapes that may or may not be trapezoids. Name all of the shapes that form the larger trapezoid.

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16) The green triangles are equilateral triangles. In equilateral triangles, the sides are the same length and the angles are the same size. Find a larger equilateral triangle that is made up of several smaller shapes that may or may not be equilateral triangles. Name all of the shapes that form the larger equilateral triangle.

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17) Make up a question about the design created with pattern blocks. State the question and the answer.

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18) Make a design of your own using the pattern blocks. Use at least three of the different shapes in your design. Describe the design in detail.

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19)

Add the units and simplify the answer, if possible.


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20) What percent of the blocks is shaded (purple)?

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21) Express 93 millimeters (mm) as centimeters (cm).

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22) What is the name of the metric unit of weight that is 1/1000 of a gram?

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23) Measure the two angles and compare the measurements. Which statement is correct about the measurements of the two angles?

24) Reggie’s secretary must type 32 pages for his presentation. She has typed 3/4 of the pages. How many pages has she typed?

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25)

Which fraction is equivalent to the given fraction?


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