Discovering Discovering Parallelograms Parallelograms
Discovering Discovering Parallelograms Parallelograms
Discovering Discovering Parallelograms Parallelograms
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Drag a vertex and investigate the measures of these segments and diagonals.<br />
Does your conjecture hold true?<br />
How could you prove that this is always true? (Hint: think about triangles<br />
formed by intersecting diagonals)<br />
Summary: In conclusion, write a short paragraph about the properties of a<br />
parallelogram, including properties of opposite and consecutive angles,<br />
opposite sides, and diagonals.<br />
Lessons 4-5 (1-2 days)<br />
Objectives: SWBAT<br />
1. Construct a rhombus using Sketchpad tools.<br />
2. Investigate properties of a rhombus.<br />
3. Make conjectures based on constructions, then test conjectures.<br />
Materials:<br />
• Geometer’s Sketchpad, V4<br />
• TI-84+ graphing calculators<br />
• Textbook and notes (Glencoe Geometry—Ch 8)<br />
Procedure:<br />
I. Warm-Up activity: determine whether the lines given by equations a and b are<br />
parallel, perpendicular, or neither.<br />
a)<br />
3 y = x ! 2<br />
4 b) 3 x + 4y<br />
= 8 Answer: neither, since equation b is<br />
! 3<br />
y = x + 2 (not = or ⊥ slopes!)<br />
4<br />
II. Discuss properties of a parallelogram (refer to CabriJr. lab results)<br />
III. Introduce Sketchpad Rhombus lab. activity and outline objectives:<br />
16
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