3.1 identify pairs of lines and angles
TRANSCRIPT
3.13.1 Identify Pairs of Lines and AnglesBell Thinger
ANSWER D2. What is the intersection of AD and DB?
1. Name a line that does not intersect AD.ANSWER BC
3.1
3.1Example 1Think of each segment in the figure as part of a line. Which line(s) or plane(s) in the figure appear to fit the description?a. Line(s) parallel to CD and containing
point ASOLUTION
AB , HG , and EF all appear parallel to CD , but only AB contains point A.
a.
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SOLUTION
b. Line(s) skew to CD and containing point A
Both AG and AH appear skew to CD and contain point A.
b.
Example 1Think of each segment in the figure as part of a line. Which line(s) or plane(s) in the figure appear to fit the description?
3.1
SOLUTION
c. BC, AD , DE , and FC all appear perpendicular to CD , but only AD contains point A.
c. Line(s) perpendicular to CD and containing point A
Example 1Think of each segment in the figure as part of a line. Which line(s) or plane(s) in the figure appear to fit the description?
3.1
SOLUTION
d. Plane(s) parallel to plane EFG and containing point A
d. Plane ABC appears parallel to plane EFG and contains point A.
Example 1Think of each segment in the figure as part of a line. Which line(s) or plane(s) in the figure appear to fit the description?
3.1
3.1
MD FE a.
Example 2
Photography
The given line markings show how the roads are related to one another.
Name a pair of parallel lines.
a.
SOLUTION
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SOLUTION
Name a pair of perpendicular lines.
b.
b. MD BF
Example 2
Photography
The given line markings show how the roads are related to one another.
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SOLUTION
Is FE AC ? Explain.c.
FE is not parallel to AC , because MD is parallel to FE and by the Parallel Postulate there is exactly one line parallel to FE through M.
c.
Example 2
Photography
The given line markings show how the roads are related to one another.
3.1Guided Practice1. Name the lines through point H
that appear skew to CD.
ANSWER AH , EH
3.1Guided Practice2.Can you use the
Perpendicular Postulate to show that AC is not perpendicular to BF ? Explain why or why not.
Yes; Since A is not on MD and MD is to BF, the Perpendicular Postulate guarantees that there is exactly one line through a point perpendicular to a line, so AC can not be perpendicular to BF also.
ANSWER
3.1
3.1Example 3
SOLUTION
a. 51and 62and 73and 84and
b. 72and 54and
c. 81and 63and
Identify all pairs of angles of the given type.
d. 52and 74and
a. Corresponding
b. Alternate interior
c. Alternate exterior
Consecutive interiord.
3.1Guided PracticeClassify the pair of numbered angles.
ANSWER
corresponding angles
3.
3.1Classify the pair of numbered angles.
4.
ANSWER
alternate exterior angles.
Guided Practice
3.1Classify the pair of numbered angles.
5.
ANSWER
alternate interior angles.
Guided Practice
3.1Exit Slip1. Name the pairs of
corresponding angles .
2. Name the pairs of alternate interior angles .
3. Name the pairs of consecutive interior angles .
2 and 4; 6 and 8
1 and 3; 5 and 7;ANSWER
ANSWER 2 and 7; 3 and 6
ANSWER 2 and 3; 6 and 7
3.14. The figure shows a painting easel. Does AB appear
to be parallel, perpendicular, or skew to CD?
ANSWER
Parallel
Exit Slip
3.1
Homework
Pg 154-156# 20, 21, 33, 34, 35