How do we use the other definitions of transformations?

Glide Reflection: Combinations of a reflection in a line and a translation along that line.

Orientation: Refers to the arrangement of points, relative to one another after transformation.


Isometry: A image that the length an size stays the same

Direct Isometry: the orientation letters & length stay the same


Oppisite Isometry: Letters are backwards but same length a reflection.

How do we calculate the area of rectangles & triangles?

Area: The measure of units in total, inside of a figure.

Rectangles: Base * Height 

 8cm * 4cm
 Area = 32cm

Triangles: Area=  1/2 * b * h 

How do we find the locus of points?

The locus is the set of all points that satisfy a given condition.

A locus is a general graph of a given equation.

What is the locus of points equidistant from a single point?
* A circle with the original point in the center

What is the locus of points equidistant from 2 fixed points?
* A line through the middle of the two points.

What is the locus of points from a single line?
* Two parallel lines on opposite sides of original lines

What is the locus of points equidistant from two parallel lines?
* A line through the middle of the two lines

What is he locus of points from two intersecting lines?
* Two intersecting lines halfway between the two original lines

How do we solve logic problems using conditionals?

Example: Two angles are congruent (hyp)
Two angles are both right angles (conclusion)

Conditional: If two angles are congruent then two angles are both right angles

Inverse: if two angles are not congruent then two angles are both right angles

Converse is just switching the hypothesis and conclusion.

Today is Friday - Hyp.
Tomorrow is Saturday - conclusion

Conditional: If today is Friday then tomorrow is sat.
Converse: if tomorrow is sat. than today is Friday.

When the conditional and the converse are both true - Bi conditional.

What is Logic?

Logic is thinking
Logic is the tool to determine between true and false

Inductive Reasoning:
- When your not sure what comes next.

you use logic everyday to:
- To solve geometry problems

What is a mathematical statement?

A Mathematical Statement is a statement that can be judged true or false.

Example: The President of the united states is Barack Obama and the vice president is Joe Biden.

*Both statements must be true for the statement to be true.

4 Conditions can be formed:

• The conditional: "if it is raining then it is cloudy"
• The inverse: "if its raining then its not cloudy"
• The converse: "if it is cloudy then its raining"
• Contrapositive: "if it is not cloudy then it is not raining"

A. The inverse of "if it is cold, then i will take my coat" > "if it is not cold, then i will not take my coat"

B. Let one statement be: Twice Talias age is 10 - Hyp

Let second statement be: Talia is 5 years old - Conclusion

Inverse: If twice talia's age is 10 then talia is 5 years old