Download Geometry Quadrilateral Activity

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Figure 2.4
Geometry Quadrilateral Activity
Unit: Quadrilaterals
Days 1–3
Name: Period: 1 2 3 4 5 6 7 8
Properties of Quadrilaterals (G-CO.11), Day 2
Materials
Worksheet for lesson, ruler, protractor, Non-Right Isosceles Triangle worksheet, Non-Right Scalene Triangle
worksheet, Isosceles Right Triangle worksheet, Equilateral Triangle worksheet, and scissors
Part A: Small-Group Team Activity
Each group gets a different triangle worksheet. The worksheet has six sets of triangles so groups can have up
to six persons. (All group members get the same triangle worksheet.)
Directions
1. Cut out the triangles.
2. Using a ruler, mark the midpoints of each side.
3. Label each triangle as side one, side two, and side three, so your triangles look exactly the same.
For example:
Side 3
Side 3
Side 1
Side 1
Side 2
Side 2
4. Label each triangle with tick and angle marks to indicate the type of triangle your group has (again, label
the two triangles exactly the same).
5. Place one triangle on top of the other, so there appears to be only one triangle.
6. Rotate the triangle on top 180º using one of the midpoints as the center of rotation to create a
quadrilateral with your two triangles.
7.Fill in the following chart with your findings about the quadrilateral. Write yes or no in each box.
Type of triangle your group has:
Rotated
Opposite
All
Opposite
Around
Sides
Sides
Angles
Midpoint of:
All Angles
All Consecutive Opposite Diagonals Diagonals
Angles
Sides
Bisect
Supplementary
Parallel
Diagonals
Type of
Perpendicular Special
Each
Quadrilateral
Other
(List all that
apply.)
Side One
Side Two
Side Three
Beyond the Common Core, High School © 2015 Solution Tree Press • solution-tree.com
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Part B: Analysis From the Team Activity
Answer the following questions based on the chart.
1. Explain how you know if all consecutive angles are supplementary or not.
2. Explain how you know if opposite sides are parallel or not.
3. Did you get the same results for side one, side two, and side three? Explain why you think this
happened.
Part C: Extension
1. In the following space, trace one of your triangles, and mark the midpoints. Label the triangle with a 1.
2. Transform triangle one by rotating it 180º around the midpoint of any side. Trace the new triangle and
label it with a 2.
3. Transform triangle one again by rotating it 180º around the midpoint of a different side. Trace the new
triangle and label it with a 3.
4. What kind of special quadrilateral do the three triangles form together? 5. Is this quadrilateral also a parallelogram? Explain why or why not.
Beyond the Common Core, High School © 2015 Solution Tree Press • solution-tree.com
Visit go.solution-tree.com/mathematicsatwork to download this page.
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