Geometry Date: 8/31/2011 Objective: Review material learned in Chapter 1

Bell Ringer: Go over Worksheet 1.5HW: Study for Chapter 1 Test In Class: Complete Review Sheet.

HW: Draw Figure, Mark up figure, Geometric Sentence, Substitution, AlgebraAnnouncements: Chapter 1 Test Thursday 9/1I am tutoring Monday – Wednesday.Math Team meets on Tuesdays

Fundamental Questions (FQ) FQ – a. How do we find the angle measures of complements andsupplements?

GP pg 41 #6, 19, 20, 21, Exit Ticket: Bell Ringer and #20

Vertical angles are .

Measure of a straight line = 180

Linear PairAngles are supplementary.2 Angles add to 180 .BDE + BE C = 180 .

Pg 37

Measure of a right = 90

2 Angles add to 90 .1 + 2= 90

Measure of a straight line = 180Linear Pair is supplementaryNot all supplementary ‘s are linear pairs.

Angles are supplementary.2 Angles add to 180 .EFH + GFH= 180

How to Interpret a Diagram

You should assume:Straight lines and angles (opposite rays)Collinearity of pointsBetweenness of pointsRelative positions of anglesVeritical Angles

You should not assume:Right AnglesCongruent SegmentsCongruent AnglesRelative sizes of segments and angles

Fundamental Questions (FQ)

FQ – a. What are linear pairs, adjacent angles, vertical angles, complementary and supplementary angles and perpendicular?b. How do we recognize them? c. What are their properties?d. What can be assumed (or not) from a figure?

GP pg 41 #4, 5, 7-9 #28

Fundamental Definitions and Questions 1. What is an angle and what are its parts?Ray - Part of a line. It has one end point and goes on indefinitely in one direction.b. Opposite Rays – line – collinear rays form a linec. Angle – formed by 2 noncollinear rays with a common end point. The end point is called the vertex and the rays are called the sides.2. How do we name angles?

Vertex is always in the middle

Fundamental Definitions and Questions

a. Name all angles that have B as a vertex

b. Name the sides of 5

c. Write another name for 6.

Fundamental Definitions and Questions 3. What about interior and exterior points on an angle?Interior points lie inside the angle and exterior points are on the outside of the angle.4. How do we measure angles?Use a protractor to measure in degrees. 5. How do we classify angles?

6. Exit Ticket: pg 33 #3-8; pg 26 #44

2. How do we find the segment measure on the number line?

3. How do we find the segment measure in a coordinate plane?

What is congruence and how can we use congruence to find measurements?Congruent - 2 segments having the same measure

Same shape, same measure Stronger than equality!!!!!

How do we show two line segments are congruent?

Congruent - Same shape, same measure What are the congruent segments? How do we know they are congruent? How do we show they are congruent?

Bell Ringer: Go over pg 9-10, spiral #30-44 (evens);

Fundamental Questions:

a. What is a line segment?b. How do we label a line segment?c. What are ways to measure a line segment? d. Why is it important to consider precision in measuring?e. How do we find measurements using colinearity andbetweenness of points?f. What is congruence and how can we use congruence to find measurements?

Read through Ex. 1, 2, 4.Examples- Guided practice 7-11

Get into groups of two Group it Up!Materials: 2 toothpicks, index card, pen or pencil, tape.Write header info on your index card. Include both names.

Step 1: Mark 4 collinear points on one toothpick.Step 2. Tape this toothpick to the index card. On the index card, label the four points, A, B, C, D. Mark a noncollinear point P on the index card.Step 3. The toothpick represents a part of a line. On the index card, how do we show that the tooth pick is a line? How many points are on a line? Label the line as line m.Step 4. What is a name of the line? How many different names are there for this line? Step 5. The index card is the plane. Name and label a plane M on your index card. How many points are needed to make a plane? What kind of points must they be?Step 6. With your second toothpick? Mark two points on this toothpick. This toothpick is called line n. One point is point G and the other is point H.Step 7. Punch a hole in the index card with the toothpick so that the toothpicks intersect at point B and point G. When two lines intersect, what do they form? Is line n contained in plane M? Are point B and point H, collinear? Are point H and point D collinear?

More questions?Are points A, B, H and P coplanar? Why must we look at four points?

Bell Ringer: Go over pg 9-10, spiral #30-44 (evens);

Fundamental Questions:a. What is a line segment?b. How do we label a line segment?c. What are ways to measure a line segment? d. Why is it important to consider precision in measuring?e. How do we find measurements using collinearity andbetweenness of points?f. What is congruence and how can we use congruence to find measurements?

Read through Ex. 1, 2, 4.Examples- Guided practice 7-11