Unit 1 Review

Transformations

100

What are the three rigid transformations?

Translation, Rotation, Reflection

200

Name a non-rigid transformation

Dilation

300

Why are the transformations called rigid?

The figures are congruent after the transformation.

400

Which transformation moves the figure but does not change orientation?

Translation

500

What transformation moves and changes the orientation of the figure?

Rotation

Reflection

Transformations on the Graph

100

A figure is transformed under (x,y) -> (x+4, y-4), what kind of transformation was done?

Translation

200

A figure is transformed under (x,y) -> (4x, 4y), what kind of transformation was done?

Dilation

300

What is the image of figure ABC with coordinates A(3, 2), B(3, 4), C(6, 1) after the transformation (x, y) -> (x + 4, y- 8)?

A'(7, -6)

B'(7, -4)

C'(10, -7)

400

What is the image of figure ABC with coordinates A(3, 2), B(3, 4), C(6, 1) after the transformation (x, y) -> (3x, 3y)?

A'(9, 6)

B'(9, 12)

C'(18, 3)

500

What is the image of figure ABC with coordinates A(-3, 2), B(3, 4), C(6, -1) after the transformation (x, y) -> (-x, y)?

A'(3, 2)

B'(-3, 4)

C'(-6, -1)

Rotation & Reflection Symmetry

100

What is the angle of rotation for a rectangle?

180^o

200

How many lines of symmetry does a regular triangle have?

3

# of lines of symmetry of a regular polygon = # sides of the polygon

300

What is the degree of a rotation of a square?

90^o

^{Angle of rotation = 360o/number of sides}

400

How many lines of symmetry does a regular octagon have?

8 lines of symmetry

# of lines of symmetry of a regular polygon = # sides of the polygon

500

What is the angle of rotation of a regular octagon?

45^o

Angle of rotation = 360^o/number of sides

Parallel Lines & Angles

100

Angle 1 and Angle 3 are vertical angles. If Angle 1= 60^o, what is the measure of Angle 3?

Angle 3 = 60^o

^{Vertical angles are congruent!}

200

Given Angle 1 and Angle 5 are corresponding angles, if Angle 1= 125^o, how many degrees is Angle 5?

Angle 5 = 125^o

^{Corresponding angles are congruent!}

300

If Angle 2 and Angle 8 are alternate exterior angles, what is the measure of Angle 2, if Angle 8= 52^o?

Angle 2 = 52^o

^{Alternate exterior angles are congruent!}

400

If Angle 1 and Angle 8 are same side exterior angles, what is the measure of Angle 8 if Angle 1= 126^o?

Angle 8= 54^o

^{Same side exterior angles are supplementary! (Add up to 180o)}

500

If Angle 4 and Angle 5 are same side interior angles, what is the measure of Angle 5 if Angle 4 = 108^o.

Angle 5 = 72^o

^{Same side interior angles (or consecutive angles) are supplementary! (Add up to 180 degrees)}

???

100

Where did Mr. Faircloth go to college?

Syracuse University

200

Where did Ms. Park go to college?

Georgetown University

300

What is one sports team Mr. Faircloth is a fan of?

Any one is correct: New England Patriots, Boston Celtics, Boston Red Sox

400

Name one sport Ms. Park played in high school.

Soccer, flag football

500

True or False: Mr. Faircloth and Ms. Park are both really good about getting 8 hours of sleep every night.

False!