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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Angles formed by a transversal<br />
when a transversal intersects two lines, several types of angles are formed.<br />
Among these angle types are same-side interior angles, alternate interior angles,<br />
and corresponding angles.<br />
Use the diagram at the r¡ght.<br />
1. Which line is the transversal?<br />
2. Name all pairs of same-side interior angles.<br />
3. Name all pairs of alternate interior angles.<br />
4. Name all pairs of corresponding angles.<br />
Use the diagram at the fight. Classify each pair of angles as corre<br />
sponding angles, altetnate interior angles, ot same-side inte¡íor angles.<br />
5. LI4 and Ll5<br />
7. LI3 and LI5<br />
Example 1<br />
Draw a transversal j that intersects lines k and ^/. Number the angles formed. Name all<br />
pairs of same-side interior angles, alternate interior angles, and corresponding angles.<br />
Solution r<br />
Use the road map shown at the r¡ght.<br />
9. Grand Avenue is a transversal of which roads?<br />
10. Maple Street is a transversal of which roads?<br />
Corre sponding angles postulnte<br />
lf two parallel lines are intersected by a transversal,<br />
then corresponding angles are congruent.<br />
Same-side interior angles<br />
L3 and L6<br />
L4 and L5<br />
Alternate interior angles<br />
L3 and L5<br />
L4 and L6<br />
6. LI2 and LI6<br />
8. LI4 and Ll\<br />
Corresponding angles<br />
LI and L5<br />
L2 and L6<br />
L3 and L7<br />
L4 and L8<br />
Oak St. Elm St. Maple St.<br />
rc kll !,,tnen<br />
Ll = L2.<br />
<strong>Study</strong> <strong>Guide</strong>, GEOMETRY: EXPLORATTONS AND AppltCATIONS<br />
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