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Discovering Discovering Parallelograms Parallelograms

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BD: ____________<br />

DC: ____________<br />

CA: ____________<br />

Now drag a vertex (Select and use the hand tool – Green ALPHA key) and<br />

make a conjecture about opposite sides of a parallelogram:<br />

_________________________________________________________<br />

6. Verify that opposite sides of ABCD are parallel.<br />

Measure the slope of each side: F5ΨMeasure>Slope, then select side.<br />

m AB = ________<br />

m CD = ________<br />

m AC = ________<br />

m BD = ________<br />

7. Draw diagonal AD: F2Ψ Segment, then select point A, hit , drag to<br />

point D and hit .<br />

Are the two triangles congruent? _______<br />

If yes, name the pair of congruent<br />

triangles:<br />

∆______ ≅ ∆_______<br />

How do you know (or how can you prove) that they are congruent triangles?<br />

Can you use SAS, ASA, or SSS theorems?<br />

Explain how you would prove that the triangles are congruent.<br />

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