MASHED POTATOES
A triangle has vertices at (0, 0), (4, 0), and (0, 3). After a dilation, the new triangle has vertices at (0, 0), (10, 0), and (0, 7.5). What was the scale factor of the dilation?
2.5
Translate the point (3, -2) 5 units right and 3 units down.
(8, -5)
Dilate the triangle with vertices at (0, 0), (3, 0), and (0, 4) by a scale factor of 2.
New vertices at (0, 0), (6, 0), and (0, 8)
Solve the proportion:
x/12=5/8
x=7.5
What is the slope of the line that passes through the points (0, 3) and (4, 7)?
1/1 or 1
The cost of a Thanksgiving dinner is directly proportional to the number of guests. If a dinner for 8 people costs $120, how much would a dinner for 12 people cost?
$180
Reflect the point (-4, 2) over the y-axis.
(4, 2)
If a shape is dilated by a scale factor of 3, how does its area change?
The area increases by a factor of 9 (32)
If 3 cups of flour make 2 pies, how many cups of flour are needed for 7 pies?
10.5 cups
Write the equation of a line with a y-intercept of 5 and a slope of -2.
y=−2x+5
Reflect the point (3, -2) over the x-axis, then translate it 4 units to the right. What are the coordinates of the final point?
(7, 2)
Rotate the point (2, 3) 90° clockwise around the origin.
(3, -2)
A rectangle has a length of 8 cm and a width of 5 cm. If it's dilated by a scale factor of 0.5, what are its new dimensions?
Length: 4 cm, Width: 2.5 cm
A recipe calls for 3443 cup of sugar for 12 cookies. How much sugar is needed for 30 cookies?
1 7/8 cups or 1.875 cups
What is the y-intercept of the line 3x−y=6
(0, 6)
A line passes through the points (-2, 5) and (4, 2). What is the equation of this line in slope-intercept form?
y=−1/2x+4
What single transformation takes the point (1, 1) to (-1, -1)?
180° rotation around the origin or reflection over both axes
How does a dilation with a scale factor of 1.5 affect the perimeter of a shape?
The perimeter is multiplied by 1.5 (increases by 50%)
The ratio of adults to children at a Thanksgiving dinner is 5:3. If there are 24 people total, how many are adults?
15 adults
What is its x-intercept for the line y=1/2x−3.
(6, 0)
A recipe for pumpkin pie filling is written for a 9-inch pie. The recipe calls for 1.5 cups of pumpkin puree. How much pumpkin puree would be needed for a similar 12-inch pie? (Hint: The amount of filling is proportional to the area of the pie.)
2.67 cups (rounded to 2 decimal places)
If triangle ABC is reflected over the x-axis and then translated 3 units right, what happens to its size and shape?
Size and shape remain unchanged; the triangle is congruent to the original
If point A is 6 units from the center of dilation, and the scale factor is 2, how far will A' (the image of A) be from the center?
12 units
A 12-pound turkey takes 3 hours to cook. How long would it take to cook an 18-pound turkey at the same rate?
4.5 hours
Determine if the lines y=2x+1 and y=−1/2x+4 are parallel, perpendicular, or neither.
Perpendicular