Do Now

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EQ How do I identify parallel, perpendicular,
and angles formed by a transversal?
Do Now Draw each figure. 1. line segment 2.
line 3. ray 4. plane
HWK Wbk P 70
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• M7A2a Given a problem, define a variable, write
  an equation, solve the equation and interpret the
  solution.

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Insert Lesson Title Here
Vocabulary Review
Angle Vertex - right angle - angle that that
measures. The symbol G indicates a right angle.
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acute angle - is an angle that measures obtuse
angle - an angle that measures straight angle -
is an angle that measures
complementary angles the sum of the measures of
two angles is ?0 supplementary angles the
sum of the measures of two angles is ?
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New Vocabulary
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perpendicular lines - angles formed by two
intersecting lines are equal to 90 parallel
lines - lines in the same plane do not intersect
at all adjacent angles angles that have a
common vertex and a common side, but no common
interior points.
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vertical angles - opposite angles formed by two
intersecting lines Transversal - a line that
intersects two or more lines corresponding
angles - are angles on the same side of the
transversal and are both above or both below the
parallel lines
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An angle is formed by two rays with a common
endpoint. The two rays are the sides of the
angle. The common endpoint is the vertex.
Angles are measured in degrees ().
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An angles measure determines the type of angle
it is.
A right angle is an angle that that measures
exactly 90. The symbol indicates a right angle.
An acute angle is an angle that measures less
than 90.
An obtuse angle is an angle that measures more
than 90 but less than180.
A straight angle is an angle that measures 180.
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Additional Example 1 Classifying Angles
Tell whether each angle is acute, right, obtuse
or straight.
A.
B.
acute angle
obtuse angle
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Insert Lesson Title Here
Check It Out Example 1
Tell whether each angle is acute, right, obtuse,
or straight.
B.
A.
straight angle
acute angle
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If the sum of the measures of two angles is 90,
then the angles are complementary angles. If the
sum of the measures of two angles is 180, then
the angles are supplementary angles.
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Use the diagram to tell whether the angles are
complementary, supplementary, or neither.
?OMP and ?PMQ
complementary.
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Use the diagram to tell whether the angles are
complementary, supplementary, or neither.
?NMO and ?OMR
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Use the diagram to tell whether the angles are
complementary, supplementary, or neither.
?PMQ and ?QMR
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Use the diagram to tell whether the angles are
complementary, supplementary, or neither.
?BAC and ?CAF
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Use the diagram to tell whether the angles are
complementary, supplementary, or neither.
?CAD and ?EAF
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Use the diagram to tell whether the angles are
complementary, supplementary, or neither.
?BAC and ?EAF
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Angles A and B are complementary. If m?A is 56,
what is the m?B? What is the supplement of A?
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Angles P and Q are supplementary. If m?P is 32,
what is the m?Q? What is the complement of P?
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Tell whether the lines appear parallel or
perpendicular.
The lines appear to intersect to form right
angles.
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Tell whether the lines appear parallel or
perpendicular.
The lines are in the same plane and do not
intersect.
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Tell whether the lines appear parallel or
perpendicular.
The lines appear to intersect to form right
angles.
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Tell whether the lines appear parallel or
perpendicular.
The lines are in the same plane and do not
intersect.
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Adjacent angles have a common vertex and a common
side, but no common interior points. Angles 2 and
3 in the diagram are adjacent. Adjacent angles
formed by two intersecting lines are supplementary
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Angles with the same number of tick marks are
congruent. The tick marks are placed in the arcs
drawn inside the angles.
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A transversal is a line that intersects two or
more lines. Line t is a transversal. When the
lines that are intersected are parallel, four
pairs of corresponding angles are formed.
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Corresponding angles are on the same side of the
transversal and are both above or both below the
parallel lines. Angles 1 and 5 are corresponding
angles. Corresponding angles are congruent.
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Line n line p. Find the measure of the
angles.
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Line n line p. Find the measure of the
angles.
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5
6
4
2
3
135
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n
p
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Insert Lesson Title Here
Tell whether each angle is acute, right, obtuse,
or straight.
straight
1.
obtuse
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Insert Lesson Title Here
Use the diagram to tell whether the angles are
complementary, supplementary, or neither.
3. ?AZB and ?BZC
neither
complementary
4. ?BZC and ?CZD
5. Angles M and N are supplementary. If ?M is
117, what is m?N?
63
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Insert Lesson Title Here
Tell whether the lines appear parallel,
perpendicular, or skew. 1. AB and CD 2. EF and
FH
parallel
perpendicular