Review Unit 1. Vocab Review Point Line Plane Collinear Points Coplanar Points Coplanar Lines Intersection Line Segment Ray Midpoint Parallel Lines Congruent.

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Presentation transcript:

Review Unit 1

Vocab Review Point Line Plane Collinear Points Coplanar Points Coplanar Lines Intersection Line Segment Ray Midpoint Parallel Lines Congruent Segments Bisection of a Segment

Solving Line Segments

Pythagoren Theorem

Guided Practice 1. a = 5, b = 12, c = ?

Guided Practice 2. a = 7, c = 25, b = ?

Guided Practice 3. b = 15, c = 17, a = ?

Guided Practice 4. a = 9, b = 12, c = ?

Using Pythagorean Theorem to Find measurement

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

Straight Angles Definition: (Put in Vocab) A straight angle is an angle whose measure is 180

Interior Points of Adjacent Angles Remember, adjacent angles have a common side and vertex but NO COMMON INTERIOR POINTS

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

Angle Bisector Definition: (Put in Vocab) An angle bisector is a ray that divides an angle into two congruent angles.

Angle Addition Postulate R S O T m  ROS + m  SOT = m  ROT

Example 1 2x+12 x A B C D Find x, m  ADB and m  BDC

Example 2 6y-12 L M N O OM bisects  LON 108

Example 1 BA  BC 2x -24

Example 2 AB  BC m  ABD = 7x + 2 m  DBC = 4x Find x, m  ABD, and m  DBC.

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

Vertical Angle Theorem If two angles are vertical angles, then they are congruent  1 ≅  3 and  2≅  4

Example 1 (x – 10)  125 

Example 2 6x x + 21

Reflection Definition: A flip across a line. Real Life Examples?

Rotation Definition: A spin or turn about a point. Real Life Examples?

Translation Definition: A slide or glide. Real Life Examples?

Example 1 A(3,2) B(7,2) C(6,6) (x,y) -> (x+2, y – 3)

Example 2 M(-6,1) N(-6,4) O(0,3) P(- 1, 1) (x,y) -> (-x, y)

Example 3 D(5,5) E(4,2) F(1,2) (x,y) -> (-y, x)

Example 5 J(2,3) K(-1,5) L(-2,-1) M(4, -2) (x,y) -> (3x, 3y)