12/5/12 Study Guide 5.1, 5.2
12/5/12 Study Guide 5.1, 5.2
12/5/12 Study Guide 5.1, 5.2
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GOAt<br />
Learn how to . . .<br />
' find the measures<br />
of alternate interior<br />
angles and sameside<br />
interior angles<br />
' identify trapezoids<br />
So you can. . .<br />
' prove statements<br />
about these angles<br />
' find congruent<br />
angles in real-world<br />
objects<br />
Terms to Know<br />
UnoensrnNDtNc rHE MAIN lo¡ns<br />
Theorems about parallel lines &nd trønsversals<br />
Alternate Interior Angles Theorem<br />
If two parallel lines are intersected by<br />
a transversal, then alternate interior<br />
angles are congruent.<br />
If klll,then L|= L3.<br />
Properties of Parallel Lines<br />
Applicøtion<br />
Here are two geometric patterns that are used for quilts. Each is a regular<br />
hexagon that can be translated and repeated many times to cover a quilt top.<br />
Each hexagon contains six shaded trapezoids.<br />
TFapezoid (p.228)<br />
a quadrilateral with exactly one pair of parallel sides<br />
Bases of a trapezoid (p.228)<br />
the two parallel sides of a trapezoid<br />
Legs of a trapezoid (p.228)<br />
the two non-parallel sides of a trapezoid<br />
Same-Side Interior Angles Theorem<br />
If two parallel lines are intersected by a<br />
transversal, then same-side interior<br />
angles are supplementary.<br />
If j ll k, then mL4 + mL5 = 180".<br />
l<br />
k<br />
Example / lllustration<br />
base<br />
TrapezoidABCD<br />
<strong>Study</strong> Gulde, GEOMETRY: EXPLORATTONS AND AppLtCATtONS<br />
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