Download Angles and Lines

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Angles and Lines
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What do we know about angles?
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Where can we see angles in
everyday life?
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Important Vocabulary
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Vertex
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Ray
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Angles
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Right Angles
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Acute Angles
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Obtuse Angles
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Straight Angles
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Complementary Angles
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Supplementary Angles
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Vertex
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Vertex- A point where two or more straight lines or rays meet
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Which is the vertex?
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Ray
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A line with a start point but no end point
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Angles
The amount of turn between two straight lines that have a
common end point (the vertex).
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Where are the angles?
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Naming Angles
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To name an angle we use the outermost points on the rays
and the vertex.
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Angle GHF
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Angle FHG
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GHF
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FHG
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You Try! Name the angles
D
F
E
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Right Angle
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Right angle-An angle which is equal to 90°
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Acute Angle
Acute angle- an angle that is less than 90°
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Obtuse Angles
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Obtuse Angle- an angle that is greater than 90° but
less than 180°
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Straight Angle
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Straight Angle- an angle that is 180° exactly
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Time to Practice!
+ Name and Classify
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Complementary Angles
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Complementary Angles- angles that are next to each other
and add up to 90°
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Which are Supplementary Angles?
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Supplementary Angles-when two angles add up to 180
degrees
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What is the missing measure?
To find the missing measure we need to follow these
steps:
1. Identify as complementary or supplementary
2. Subtract
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Find the Missing Measure
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Find the Missing Measure
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Find the Missing Measure
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Find the Missing Measure
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Let’s Practice
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Let’s Practice
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Lines
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To name a line you use the outermost point
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Indicates by the arrows on both sides
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Lines
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A straight series of points that has no start point or not end
point and put a line with arrows above it
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PQ
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QP
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Name the following Lines
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Types of Lines
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Parallel Lines
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Perpendicular Lines
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Intersecting
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Parallel Lines
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are always the same distance apart (called "equidistant"),
and will never meet
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Which are Parallel Lines
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Naming Parallel Lines
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To name parallel lines we name each line individually
(outermost points)
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To indicate lines are parallel we use the
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Example: AB
CD
symbol
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Practice
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Name the following parallel lines
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Perpendicular Lines
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Lines that are at right angles (90°) to each other when they
intersect
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Which are perpendicular lines?
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Naming Perpendicular Lines
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To name perpendicular lines we name each line individually
(outermost points)
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To indicate lines are perpendicular we use the
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Example: AB
CD
symbol
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Name the Following
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Which is which?
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Intersecting Lines
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Lines that overlap or cross at a specific point, called the
intersect
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New Vocabulary
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Congruent
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Transversal
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Vertical Angles
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Adjacent Angles
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Corresponding Angles
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Alternate Interior Angles
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Alternate Exterior Angles
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Consecutive Interior Angles
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Congruent
 The
same size
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Transversal
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A line that crosses a set of parallel lines
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Vertical Angles
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Vertical Angles are the angles opposite each other and
share the same vertex
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vertical angles are equal
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Corresponding Angles
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The angles in matching corners are called Corresponding
Angles.
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Think about if you cut and placed
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Alternate Interior Angles
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The pairs of angles on opposite sides of the transversal but
inside the two lines are called Alternate Interior Angles.
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Alternate Interior angles are congruent
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Alternate Interior Angles
3
6
5
4
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Alternate Exterior Angles
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The pairs of angles on opposite sides of the transversal but
outside the two lines are called Alternate Exterior Angles.
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These angles are congruent
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Alternate Exterior Angles
2
8
1
7
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Consecutive Interior Angles
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The pairs of angles on one side of the transversal but inside
the two lines are called Consecutive Interior Angles.
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Their sum is 180°
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Consecutive Interior Angles
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Adjacent Angles
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Two angles are Adjacent when they have a common side and
a common vertex (corner point) and don't overlap.
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Angle ABC is adjacent to angle CBD
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Because: they have a common side (line CB) they have a
common vertex (point B)
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Adjacent Angles
Adjacent Angles
1 and 2
3 and 4
5 and 6
7 and 8
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Which is which?
Vertical
Corresponding
Alternate Exterior
Adjacent
Alternate Interior
Consecutive
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Practice
Vertical
Corresponding
Alternate Exterior
Adjacent
Alternate Interior
Consecutive
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Practice
Vertical
Corresponding
Alternate Exterior
Adjacent
Alternate Interior
Consecutive
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Practice
Vertical
Corresponding
Alternate Exterior
Adjacent
Alternate Interior
Consecutive
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What is the missing measure?
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What is the missing measure?
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What is the missing measure?
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What is the missing measure?
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What is the missing measure?
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What is the missing measure?
5
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What is the missing measure?
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What is the missing measure?
E= 150
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What is the missing measure?
0
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What is the missing measure?
0
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What is the missing measure?
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What is the missing measure?
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What is the missing measure?
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What is the missing measure?
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What is the missing measure?
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What is the missing measure?
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What is the missing measure?
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What is the missing measure?