Transformations
To flip or mirror a shape
What is reflection
If XYZ is congruent to LRM, what segment corresponds to ZX
What is ML
HIG is similar to H'I'G'. The scale factor is 3.
If HI is 2, what is H'I'?
What is 6.
8/4 = 6/x
x = 3
A shape that has 3 or more sides
What is a polygon
To move a shape
What is translation
Is the side-side-side conjecture a similarity theorem or a congruence theorem
A congruence conjecture
DEF is similar to D'E'F'. The scale factor is 2/3
DE is 9, what is D'E'
What is 6
9 x 2/3 = 18/3 = 6
9/2 = 18/x
x = 4
Shape that is defined as a rectangle with 4 congruent sides
A square
A center, a degree, and a direction
The theorem that tells us that if two triangles have two congruent angles, then those triangles are similar.
ABC is similar to A'B'C'.
If AB is 4 and A'B' is 18, what is the scale factor?
What is 4.5
18/4 = 4.5
7/5 = x/3
5x = 21
x = 21/5 or 4.2
Shape that is defined as a parallelogram with 4 right angles
What is a rectangle
Describe this translation:
(x - 5, y + 3)
What is to the left 5 and up 3
In triangle ABC:
A = 45, B = 60
If LNP is similar to ABC, what is the measure of angle P?
P is 75 degrees
A = 45, B = 60-- so C is 75.
P corresponds to C. Therefore, P is 75 degrees
XYZ is similar to X'Y'Z'.
X'Y' is 3 and was a result of dilating XY by a scale factor of 1/3. What is XY
What is 9.
3 divided by 1/3. Changes to 3 x 3/1 = 9
9/6 = x/10
6x = 90.
x = 15
What is true about opposite angles in a parallelogram
They are congruent
The following is describes what transformation:
(-x, y)
Extra 100 points if you can describe it precisely
What is a reflection
Extra 100 points: A reflection over the y-axis.
Congruence conjecture that tells us if two triangles have two congruent angles and a congruent side in between the angles, then those triangles are congruent
Angle-side-angle congruence conjecture
JLM is similar to J'L'M'.
L'M' is 4 and was a result of dilating XY by a scale factor of 5/2. What is LM
8/5 or 1.6
4 divided by 5/2 changes to 4 x 2/5= 8/5
7/(b+5) = 10/5
7(5) = 10(b + 5)
35 = 10b + 50
b = -1.5 or -3/2
Shape that is defined as a parallelogram with 4 congruent sides
What is a rhombus