Distance & Slope
Parallel lines & Transversals
Rigid Motions and Symmetry
Composition
Triangles
100

What is the distance formula?

100

1)What are corresponding angles? 


2) What are vertical angles?

1) Corresponding angles are the angles that are formed when two parallel lines are intersected by the transversal. These are formed in the matching corners or corresponding corners with the transversal.

2) each of the pairs of opposite angles made by two intersecting lines

100

Whats is a rigid motion? 

A transformation of the plane that preserves length and angle measure. Reflections, translations, rotations, and compositions are "rigid motions".

100

What is a composition?? 


A composition of transformations is a combination of two or more transformations, each performed on the previous image.

100

Daily Double

What are the measurements of the angles in an equilateral triangle?


60º

200

What is the formula to find slope?

200

Find all the pairs corresponding angles on the image below.


∠1,∠5
∠3,∠7
∠4,∠8
∠2,∠6





200

Does the following image demonstrate a rigid transformation? If so, what rigid transformation?

Yes, T<5,0>

200

What is the notation when reflecting over the y-axis? The x-axis? Use the equation of the axis lines.

y-axis: Rx=0

x-axis: Ry=0

200

What does the triangle angle sum theorem state?

The sum of the angles of a triangle are equal to 180 degrees

300

Lines are perpendicular when their slope is...


Lines are parallel when their slope is...


the opposite reciprocal 


the same slope 

300


Daily Double

∠8 is 123°. What is the measurement of all other angles? 

∠1,∠4,∠5,∠8 are  123°

∠3,∠2,∠6,∠7 are 57°

300

Does the image below have rotational symmetry? Does the image have reflectional symmetry and where? 

Yes, 180 degrees

Yes, from left tip of the arrow to the right tip of the arrow and in two halves making a right and left arrow


300

Write a composition for the image below.

Ry-axis • Rx-axis △(ABC)

OR

Rx=0 • Ry=0 △(ABC)

300

Are the following triangles congruent? If so, by what theorem? 


Yes, ASA

400

Daily Double

Find the distance from point A to point B of line m.

Are lines m and line n parallel? If so, what is the slope?


√45


Yes, m=1/2

400

Given the lines are parallel, what is x?

x=22

400

What line of reflection maps the transformation??

Ry=-1.5

400

Write a composition for the following.

  T<-2,-5>  Rx=1△(DEF)

400

Are the triangles congruent? If so, by what theorem?

No, one triangle uses AAS and one uses ASA.

500

Find the slope of a line that is perpendicular to line n.

m=-2/1

500

Given the lines are parallel, what is x?

x=11

500

What rotation rule was used?

r(180°,0)

500

Write the composition that maps △DEF to △D''E''F''

T<3,-4> ∘ Rx=-3 △DEF

500

Find the value of x and find the lengths of each side for the image below. 

x=2

FE=37

DF=22