what were we doing in 1c? geometry mathematical reflection 1c
TRANSCRIPT
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WHAT WERE WE DOING IN 1C?
Geometry Mathematical Reflection 1C
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DHoM
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Vocabulary
Congruent
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Geometry Software
Do you remember how to draw: Segment, Ray, Line; Perpendicular line; and Parallel line?
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Segment, Ray, Line
What are the difference??
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Parallel/ Perpendicular Lines
1. Draw a segment and a point
2. Highlight them3. Go to “Construct”4. Choose
“Parallel Line” or “Perpendicular Line”
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“UnMessUpable” Figures
If you draw a square, it might look like it, but you can change it by dragging a vertex or side.
If you construct it, the figure must be “UnMessUpable.”
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“UnMessUpable” Squares
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“UnMessUpable” Equilateral Triangles
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“UnMessUpable” Parallelograms
Two sets of parallel lines
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Discussion Question
How can you use geometry software to construct figures with specific features?
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Discussion Question
How can you use gemetory software to test for invariants?
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Discussion Question
How can you use geometry software to illustrate the difference between drawing a figure and constructing a figure?
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Problem 1
Tony had to construct a triangle inscribed in a circle. He drew the picture on the left. Sasha selected a vertex. She moved it and made the picture on the right. Explain Tony’s mistake.
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Problem 2
Construct an “UnMessUpable” square with a side length of 5 cm.
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Problem 3
List steps that tell how to construct a rectangle with geometry software. The figure must remain a rectangle for any movement of its vertices.
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Problem 4
Use geometry software to construct an equilateral triangle with side lengths that vary when you drag a point of the construction.
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Problem 5
What feature do you have to make invariant in a parallelogram so that it is always a rhombus, no matter how you drag its vertices?