GEO: Unit 1 - Lessons 1.1 and 1.2

GEO: Unit 1 - Lessons 1.1 and 1.2

~ Identify and describe geometric figures

~ Naming parts of a circle

Poll

[POLL]

Are you familiar with the names for GEOMETRIC FIGURES? Select the names of geometric figures that you know.

• Point

• Line

• Line Segment

• Ray

• Plane

Naming Geometric Figures:

• Point - named with a capital letter

• Line - named using any two points on the line, in any order, with a line symbol drawn above | OR using a lowercase letter

Naming Geometric Figures:

• Line Segment - named using the two endpoints, in any order, with a segment symbol drawn above

• Ray - named using the endpoint and one other point, with a ray symbol drawn above; the endpoint is always listed first

Multiple Choice

MULTIPLE CHOICE

Click on the image. Which of the following correctly describes the two geometric figures?

• (a) is segment QP and (b) is line CN

• (a) is line QP and (b) is segment CN

• (a) is ray QP and (b) is line NC

• (a) is segment QP and (b) is line N

Open Ended

Click on the image.

Caleb says that the figure on the left can be named $\overleftarrow{K}\overrightarrow{J}$ .  Jen says the figure can be named  $\overleftarrow{J}\overrightarrow{L}$  .  Who is correct? Explain.

Multiple Choice

MULTIPLE CHOICE
Click on the image. 

Is 
 $\overrightarrow{SR}$   a possible name for the figure on the left? Select the best answer/explanation.

• Yes, that is possible because it uses the ray symbol above the letters

• No, to name a ray, list the endpoint first. The endpoint of this ray is R, not S. So it should have been  $\overrightarrow{RS}$  .

• Yes, it is possible. You can name it SR or RS, the order doesn't matter.

• No, to name a ray, simply list the endpoint R. So it looks like this:  $\overrightarrow{R}$  

Naming Geometric Figures:

• Plane - named using any three points in the plane that are not on the same line, in any order OR using a capital cursive letter

• Angle - SEE THE IMAGE ON THE RIGHT

Multiple Select

MULTIPLE SELECT

Click on the image.

Select all correct names for the angle shown on the left.

• $\angle3$

• $\angle XZY$

• $\angle XYZ$

• $\angle ZYX$

• $\angle YXZ$

Multiple Choice

MULTIPLE CHOICE

Click on the image.

How many RAYS can be named in this geometric figure?

• 1

• 2

• 3

• There is no ray

All about ANGLES! (!! i m p o r t a n t !!)

• Acute angle - measured between 0 and 90 degrees

• Right angle - measured at exactly 90 degrees

• Obtuse angle - measured between 90 and 180 degrees

• Straight angle - measured at exactly 180 degrees

• Complementary angles - angles that add up to 90 degrees

• Supplementary angles - angles that add up to 180 degrees

Fill in the Blank

Click on the image.

If  $\angle RST$ on the left is complementary with another angle, let's say  $\angle ABC$  , what must the measure of  $\angle ABC$  be (for it to be complementary)? TYPE JUST THE NUMBER.

Fill in the Blank

Click on the image. 

If  $\angle RST$ on the left is supplementary with another angle, let's say  $\angle DEF$  , what must the measure of  $\angle DEF$  be (for it to be supplementary)? TYPE JUST THE NUMBER.

About C I R C L E

• A chord of a circle is a segment with both endpoints on the circle.

• A diameter is a chord that passes through the center of a circle.

• A radius is a segment with one endpoint on the circle and one endpoint at the center of the circle.

Multiple Choice

MULTIPLE CHOICE:
Click on the image.
Classify the following segment in circle O:

 $\overline{BO}$  

• Chord

• Radius

• Diameter

• Center

Multiple Choice

MULTIPLE CHOICE:
Click on the image.
Classify the following segment in circle O:

 $\overline{AF}$  

• Chord

• Radius

• Diameter

• Center

Multiple Choice

MULTIPLE CHOICE:
Click on the image.
Classify the following segment in circle O:

 $\overline{EO}$  

• Chord

• Radius

• Diameter

• Center

Multiple Select

MULTIPLE SELECT:
Click on the image.
Classify the following segment in circle O: (select 2)

 $\overline{CE}$  

• Chord

• Radius

• Diameter

• Center

Poll

[POLL]

Which topic(s) do you need or prefer to have more practice on? Select all that apply to you.

• How to name angles using 3 letters

• Complementary and supplementary angles problems

• Naming any geometric figures (point, segment, line, plane, ray, etc.)

• Circle stuff (radius, chord, diameter, center)

• Acute vs Obtuse vs Right vs Straight angles