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