Math 1.0
Triangle ABC is dilated on a coordinate grid with a scale factor of 4. The origin is the center of dilation. The coordinates of points A, B, and C are listed below. Fill in the blanks below with the coordinates of triangle A’B’C’.
A (─1, ─2) → A’ (______, ______)
B (1, 3) → B’ (______, ______)
C (4, ─4) → C’ (______, ______)
What is the rule that represents this dilation?
What is...
A (─1, ─2) → A’ (-4, -8)
B (1, 3) → B’ (4,12)
C (4, ─4) → C’ (16,-16)
What is the rule that represents this dilation?
(x,y)------>(4x, 4y)
Quadrilateral WXYZ was dilated on a coordinate grid with the origin as the center of dilation to create quadrilateral W’X’Y’Z’. The vertices of quadrilateral WXYZ and quadrilateral W’X’Y’Z’ are listed below.
W (─4, ─4), X (─2, 5), Y (0 ,0), Z (1, ─5)
W’ (─2, ─2), X’ (─1, 2.5), Y’ (0, 0), Z’ (0.5, ─2.5)
What is the rule that represents this dilation?
What is...
(x, y) → (0.5x, 0.5y) or (x, y) → (1/2x, 1/2 y)
Triangle XYZ is graphed on a coordinate grid and then reflected across the x-axis. If point Z of the original triangle was located at (x, y), what is the ordered pair that represents the location of Z’ after the transformation?
What is...
(x, –y)
Triangle LSU is graphed on a coordinate grid as shown. The figure is rotated 90° clockwise with the origin as the center of rotation to create a new figure. Which rule describes this transformation?
What is...
(x, y) → (y, –x)
What are our OFFICIAL school colors?
What is...
Red, Black and Silver.
Quadrilateral ABCD is graphed on a coordinate grid with vertices at A (─2, 0), B (─1, 3), C (3, 4), and D (4, ─3). Quadrilateral ABCD is dilated by a scale factor of u with the origin as the center of dilation to create quadrilateral A’B’C’D’. What is the ordered pair that would represent the coordinates of vertex D’?
What is...
(4u, –3u)
A square with a perimeter of 20 units is graphed on a coordinate grid. The square is dilated by a scale factor of 0.4 with the origin as the center of dilation.
If (x , y) represents the location of any point on the original square, which ordered pair represents the coordinates of the corresponding point on the resulting square?
What is ...
(0.4x, 0.4y)
Rectangle ABCD was translated 3 units to the right and 5 units down to create rectangle A’B’C’D’. What is the rule that describes this transformation?
What is...
(x, y) → (x + 3, y – 5)
List these numbers in order from greatest to least.
6.87, ─6.9, 68%, ─ 27/4
What is...
6.87
68%
– 27/4
─6.9
Who is the Vice president of the U.S.A?
What is...
J.D Vance
Dana was dilating a polygon on a coordinate grid using the origin as the center of the dilation. He wanted to make a polygon that is larger than the original polygon. Which of the following could be the algebraic representation of the enlargement?
Select THREE correct answers.
(x, y) → ( 2 3 x, 2 3 y)
(x, y) → (3x, 3y)
(x, y) → (1.25x, 1.25y)
(x, y) → ( 5/4 x, 5/4 y)
(x, y) → (0.75x, 0.75y)
What is...
(x, y) → (3x, 3y)
(x, y) → (1.25x, 1.25y)
(x, y) → ( 5/4 x, 5/4 y)
The algebraic rule is represented below. Will the dilation be an enlargement or reduction?
(x,y)------>(20x, 20y)
What is...
Enlargement
Quadrilateral CITY was translated 3 units to the left and 4 units down to create quadrilateral C’I’T’Y’. What rule describes this transformation?
What is...
(x, y) → (x – 3, y – 4)
Mackenzie was given 150 coins to start a coin collection. She will add 30 coins each month to her coin collection. Write a function that can be used to find c, the number of coins in her collection after saving for m months.
What is...
c = 30m + 150
What is THE magic number?
What is...
67
Using the dilation in #5, determine if the following statements are true or false.
Triangle ABC is congruent to triangle A’B’C’. ___________
Each side length of triangle A’B’C’ is twice the corresponding side length of triangle ABC. ___________
Each angle measure of triangle A’B’C’ is twice the corresponding angle measure of triangle ABC. ___________
Triangle ABC is similar to triangle A’B’C’. ___________
What is...
False
True
False
True
Quadrilateral JKLM was dilated with the origin as the center to create quadrilateral J’K’L’M’. The vertex K’ is located at ( 7.5, 4.5 ) and point K is located at (5,3). Write the rule that best describes the dilation.
What is...
(x,y)-----> (0.6x, 0.6y)
OR
(x,y)-----> (3/5x, 3/5y)
Triangle PQR is graphed on a coordinate grid and then reflected across the y-axis. What rule describes this transformation?
What is...
(x, y) → (–x, y)
Mike buys bags of mulch to be delivered to his landscaping business each week. The bags of mulch cost the same amount and he is charged a flat rate for delivery.
• Last week, he bought 35 bags of mulch and paid a total of $160.75.
• This week, he bought 44 bags of mulch and paid a total of $199.00.
Write an equation that can be used to find y, the total cost for x bags of mulch to be delivered.
What is...
y = 4.25x + 12
How many planets are in the solar system?
What is...
8 Planets
A rectangle is graphed on the coordinate plane. The table shows the original vertices and the new vertices after a scale factor with center of dilation at (0, 0) is applied. What rule is applied to the original rectangle to create the new rectangle?
Vertices of Original Rectangle Vertices of Dilated Rectangle
(X) (Y)
(─9, 12) (─6, 8)
(6, 12) (4, 8)
(6, ─3) (4, ─2)
(─9, ─3) (─6, ─2)
What is...
(x, y) →(2/3 x, 2/3 y)
The algebraic rule is represented below. Will the dilation be an enlargement or reduction?
(x,y)------>(0.200x, 0.200y)
What is...
Reduction
A pentagon is graphed on a coordinate grid and then reflected across the x-axis. What rule best describes this transformation?
What is...
(x, y) → (x, –y)
To ship a package, Shipping Company A charges a $4 flat rate plus $0.50 per pound. Shipping Company B charges a $6 flat rate and $0.40 for each pound. How many pounds will it take for both companies to charge the same amount?
What is...
20 lbs
Who won the Academy award for Best Picture in the Oscars 2026?
What is...
One Battle After Another