Transformations
Triangle ABC is dilated by a scale factor of 3 to form A'B'C'.
A(1,2) B(3,4), C(5,1)
A(3,6)
B(9,12)
C(15,3)
What property describes multiplying an outside number into parenthesis?
Distributive Property
Triangles equal ________ degrees
180 degrees
In a right triangle, the _________ is the side opposite the right angle, and a __________ is one of the sides that forms the right angle.
hypotenuse, leg
A(n) ___________ is a transformation that slides a figure.
WORD BANK: image, preimage, reflection, rotation, translation
Translation
Side KN of Figure KLMN is parallel to side LM. Figure KLMN is rotated 90° clockwise about Point P to produce Figure RSTU. Based on this information, select all statements that are true:
Line ST is parallel to Line RU.
∠R has the same measure as ∠N.
Line RS is the same length as Line MN.
Figure RSTU is congruent to Figure KLMN.
∠T has the same measure as ∠M.
1, 2, 4, 5
How many solutions does a system have if two equations have the same slope but different y intercepts?
No solutions
The diagonal line that intersects two parallel lines.
Transversal
The graph of a proportional relationship is a straight line that passes through the _______
origin (0,0)
A(n) _________ is a transformation that flips a figure across a line.
WORD BANK: image, preimage, reflection, rotation, translation
Reflection
Triangle PQR has vertices P(2,-4), Q(4,-5) and R(7,-2). It is translated 6 units left and 3 units up to produce Triangle P'.
Find the coordinate of R' after the transformations are performed.
(1,1)
How many solutions does a system have if two equations have the same slope and the same y intercepts?
Infinitely Many
A straight line equals ________ degrees
180
A car travels 100 miles in 2 hours. Write the equation for the proportional relationship and find the slope.
y=50x
slope = 50
A(n) ____________ is a transformation that turns a figure about a point.
WORD BANK: image, preimage, reflection, rotation, translation
Rotation
Triangle PQR has vertices P(2,-4), Q(4,-5) and R(7,-2). It is translated 6 units left and 3 units up to produce Triangle P'.
Find the coordinate of Q' after the transformations are performed.
(-2,-2)
Determine the value of b for which x=1 is a solution of the equation shown:
2x+14 = 10x +b
b = 6
Two angles in a triangle equal 38 degrees and 74 degrees. What is the value of the third angle?
68 degrees
The graph of a proportional relationship passes through the points (2, 4) and (4, 8). Find the slope and write the equation.
y=2x
slope =2
A(n) __________ is the original figure in a transformation.
WORD BANK: image, preimage, reflection, rotation, translation
Pre image
Triangle PQR has vertices P(2,-4), Q(4,-5) and R(7,-2). It is translated 6 units left and 3 units up to produce Triangle P'.
Find the coordinate of P' after the transformations are performed.
(-4,-1)
Solve for x:
3(x+2) - 5 = 16
x = 11/3
Two angles in a triangle equal 48 degrees and 20 degrees. What is the value of the third angle?
112 degrees
A bakery sells cookies at a rate of 5 cookies for $2. Write the equation for the proportional relationship and find the slope.
y=0.40x
slope = .40
A(n) __________ is the resulting figure in a transformation.
WORD BANK: image, preimage, reflection, rotation, translation
Image