TRANSLATIONS
REFLECTIONS
ROTATIONS
DILATIONS
POP CULTURE 2025
100
A point is translated 5 units right and 3 units up. If the rule is (x, y) → (x + a, y + b), what are the values of a and b?
What is a = 5 and b = 3?
100
When a point is reflected over the x-axis, which coordinate changes sign?
What is the y-coordinate?
100
How many degrees are in a full rotation around a point?
What is 360 degrees?
100
In a dilation, what point remains fixed and does not move?
What is the center of dilation?
100
This social media platform, known for short-form videos, continued to dominate in 2025 despite ongoing concerns about data privacy and potential bans.
What is TikTok?
200
Point A(2, 4) is translated to A'(7, 1). What is the translation rule?
What is (x, y) → (x + 5, y - 3)?
200
Point M(4, -7) is reflected over the y-axis. What are the coordinates of M'?
What is M'(-4, -7)?
200
Point P(4, 0) is rotated 90° counterclockwise around the origin. What are the coordinates of P'?
What is P'(0, 4)?
200
A point (6, 8) is dilated by a scale factor of 0.5 from the origin. What are the new coordinates?
What is (3, 4)?
200
This singer's "Eras Tour" became one of the highest-grossing tours of all time, with the concert film breaking records in 2023-2024 and cultural impact continuing into 2025.
Who is Taylor Swift?
300
Original Triangle: A(1, 2), B(3, 2), C(2, 4)
Translated Triangle: A'(4, 5), B'(6, 5), C'(5, 7)
What translation was applied?
What is (x, y) → (x + 3, y + 3) or 3 units right and 3 units up?
300
Original points: A(3, 2), B(5, 2), C(4, 6)
Reflected points: A'(3, -2), B'(5, -2), C'(4, -6)
Over which line was this triangle reflected?
What is the x-axis (or the line y = 0)?
300
Point Q(3, 5) is rotated 180° around the origin.
What are the coordinates of Q', and what is the rule for 180° rotation about the origin?
What is Q'(-3, -5), and the rule is (x, y) → (-x, -y)?
300
Original: A(2, 4), B(6, 4), C(4, 8)
Scale factor: 2, Center: origin
What are the coordinates of the dilated triangle A'B'C'?
What is A'(4, 8), B'(12, 8), C'(8, 16)?
300
Released in July 2023, this film about a famous doll became a massive cultural phenomenon, with its pink marketing campaign and themes about identity remaining influential through 2025.
What is Barbie?
400
A rectangle with vertices at (0, 0), (4, 0), (4, 2), and (0, 2) is translated so that one vertex is now at (-3, 5). If the vertex that moved was originally at (0, 0), what are the new coordinates of all vertices?
What is (-3, 5), (1, 5), (1, 7), and (-3, 7)?
400
Points A(1, 3) and B(2, 4) are reflected over the line y = x. What are the coordinates of A' and B', and what is special about reflection over y = x?
What is A'(3, 1) and B'(4, 2), and the x and y coordinates are swapped?
400
Point A is at (3, 3). It is rotated 90° clockwise about the origin. What are the new coordinates, and what is the general rule for 90° clockwise rotation?
What is A'(3, -3), and the rule is (x, y) → (y, -x)?
400
Square with side length 4 units
Center of dilation: origin
Scale factor: 1.5
If a square centered at the origin has side length 4, what is the side length after dilation with scale factor 1.5? Is the dilated figure similar or congruent to the original?
What is 6 units, and the figures are similar (not congruent because size changed)?
400
This AI chatbot, released by OpenAI, revolutionized how students and workers interact with artificial intelligence and raised questions about academic integrity and job automation heading into 2025.
What is ChatGPT?
500
GRAPHIC: Imagine a coordinate plane with point P at (2, -3) and vector arrow showing movement.
A figure is translated using the vector ⟨-4, 6⟩. If point P(2, -3) is on this figure, what are the coordinates of P' after translation? Additionally, describe what happens to the size and orientation of the figure.
What is P'(-2, 3), and the size and orientation remain unchanged (translations preserve both)?
500
Imagine a square with vertices at (2, 1), (5, 1), (5, 4), and (2, 4).
A square is reflected over the line x = 3. If one vertex starts at (5, 4), where does it end up? What can you say about the distance from any point on the original figure to the line of reflection compared to its image?
What is (1, 4), and the distances are equal (the line of reflection is the perpendicular bisector of the segment connecting each point to its image)?
500
Imagine a right triangle with vertices at origin O(0, 0), A(4, 0), and B(0, 3).
This right triangle is rotated 270° counterclockwise about the origin. Give the new coordinates of all three vertices and explain why a 270° counterclockwise rotation is equivalent to a 90° clockwise rotation.
What is O'(0, 0), A'(0, -4), B'(3, 0), and they're equivalent because 360° - 270° = 90° (they differ by a full rotation)?
500
Imagine segment AB where A(-4, 2) and B(4, 6) with center of dilation at origin.
A segment has endpoints A(-4, 2) and B(4, 6). After dilation from the origin with scale factor k, the new segment A'B' has A'(-2, 1) and B'(2, 3). What is the scale factor k? What is the ratio of the length of A'B' to AB?
What is k = 0.5 (or 1/2), and the ratio is 1:2 (or 0.5, meaning the image is half the original length)?
500
This streaming service lost significant subscribers in 2022-2023 after cracking down on password sharing, but by 2025 had introduced ad-supported tiers and continued to produce hit shows like "Wednesday" and "Squid Game" season 2.
What is Netflix?