review unit 1. vocab review point line plane collinear points coplanar points coplanar lines...
TRANSCRIPT
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Review Unit 1
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Vocab Review
• Point• Line• Plane • Collinear Points• Coplanar Points• Coplanar Lines• Intersection
• Line Segment• Ray • Midpoint • Parallel Lines• Congruent Segments• Bisection of a
Segment
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Solving Line Segments
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Solving Line Segments
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Pythagoren Theorem
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Guided Practice
1. a = 5, b = 12, c = ?
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Guided Practice
2. a = 7, c = 25, b = ?
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Guided Practice
3. b = 15, c = 17, a = ?
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Guided Practice
4. a = 9, b = 12, c = ?
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Using Pythagorean Theorem to Find measurement
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Review of Angle Vocabulary
• Angle– Vertex, Side, Names
• Acute Angle• Obtuse Angle• Right Angle• Perpendicular Lines• Complementary Lines• Supplementary Lines• Vertical Angles
• Adjacent Angles• Linear Pair
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Straight Angles
• Definition: (Put in Vocab) A straight angle is an angle whose measure is 180
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Interior Points of Adjacent Angles
Remember, adjacent angles have a common side and vertex but NO COMMON INTERIOR POINTS
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Congruent Angles
• If two angles have equal measures, then they are congruent angles
– m A = m B ⇔ A≅ B
m A = 40 m B = 40
A
B
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Angle Bisector
• Definition: (Put in Vocab) An angle bisector is a ray that divides an angle into two congruent angles.
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Angle Addition Postulate
R
S
O
T
mROS + mSOT = mROT
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Example 1
2x+12
x+1082
A
B
C
D
Find x, mADB and mBDC
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Example 2
6y-12
L
M
N
O
OM bisects LON
108
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Example 1
• BA BC
2x -24
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Example 2
AB BCmABD = 7x + 2mDBC = 4xFind x, mABD, and mDBC.
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Perpendicular Bisector
• What is a segment bisector?
• A segment bisector is a line, segment, ray or plane that intersects a segment at its midpoint
• Using this definition, what do you think a perpendicular bisector is?
• Definition: The Perpendicular Bisector of a segment is a line, segment, or ray that is perpendicular to the segment at its midpoint
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Vertical Angle Theorem
• If two angles are vertical angles, then they are congruent
14
32
1 ≅3 and 2≅4
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Example 1
(x – 10)
125
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Example 2
6x - 45 3x + 21
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Reflection
• Definition: A flip across a line.
• Real Life Examples?
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Rotation
• Definition: A spin or turn about a point.
• Real Life Examples?
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Translation
• Definition: A slide or glide.
• Real Life Examples?
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Example 1
A(3,2) B(7,2) C(6,6)
(x,y) -> (x+2, y – 3)
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Example 2
M(-6,1) N(-6,4) O(0,3) P(-1, 1)
(x,y) -> (-x, y)
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Example 3
D(5,5) E(4,2) F(1,2)
(x,y) -> (-y, x)
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Example 5
J(2,3) K(-1,5) L(-2,-1) M(4, -2)
(x,y) -> (3x, 3y)