Review Unit 1. Vocab Review Point Line Plane Collinear Points Coplanar Points Coplanar Lines...

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

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

mROS + mSOT = mROT

Example 1

2x+12

x+1082

A

B

C

D

Find x, mADB and mBDC

Example 2

6y-12

L

M

N

O

OM bisects LON

108

Example 1

• BA BC

2x -24

Example 2

AB BCmABD = 7x + 2mDBC = 4xFind x, mABD, and mDBC.

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

14

32

1 ≅3 and 2≅4

Example 1

(x – 10) 

125

Example 2

6x - 45 3x + 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)