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Transcript
Geometry H
Mrs. Diaz
NAME:______________________________
DATE:______________________________
UNIT 2
ASSIGNMENT #10
Working with Angles and Lines vocabulary
OBJECTIVE: S.W.B.A.T. use their new vocabulary of angles made by transversals and parallel lines
to identify new angle relationships.
Use the diagram to name each of the following.
1. a pair of parallel planes
2. all lines that are parallel to
3. four lines that are skew to
4. all lines that are parallel to plane QUVR
5. a plane parallel to plane QUWS
In Exercises 6–11, describe the statement as true or false. If false, explain.
6.
and
8.
║
are skew lines.
10. plane EFH ║ plane ABD
7. plane DBF ║plane ABD
9.
11.
║
and
are skew lines.
12. You are driving over a bridge that runs east to west. Below the bridge, a highway runs
north to south. Are the bridge and the highway parallel, skew, or neither? Explain.
13. Error Analysis A student drew a square pyramid. She said the lines forming the sides of
the square base of the pyramid are skew to the lines forming the triangular sides. Explain the
student’s error
14. Reasoning Your friend says that the sides of a ladder and the rungs of a ladder are
skew. Is this true? Explain.
15. Visualization If two planes are parallel, must all lines within those planes be parallel?
Explain.
Identify all pairs of each type of angle in the diagram below right.
16. corresponding angles________________________
17. consecutive interior angles ___________________
18. alternate interior angles ______________________
19. alternate exterior angles ___________________
Decide whether the angles are alternate interior angles, same-side interior angles,
corresponding angles, or alternate exterior angles.
20. 2 and 7 _________________
21. 5 and 4 ________________
22. 8 and 3 _________________
23. 6 and 4 ________________
24. 1 and 5 _______________
25. Draw a Diagram Line e intersects trapezoid ABCD. Sketch a
diagram that meets the following conditions.
a.
and
are parallel.
b. 1 and 6 are alternate exterior angles.
c. 2 and 3 are same-side interior angles.
d. 4 and 5 are each supplementary to 3.
27. The map at the right shows the intersection of Maple
Street and Oak Street by Main Street. Name the angle
pairs represented by the locations listed below.
a. town hall and gas station
b. school and library
c. library and post office
d. school and gas station