Coordinate Geometry & Transformations Flashcards

7 cards from real Geometry practice questions. Tap to flip, then mark Knew It or Still Learning — missed cards come back until you master them.

Read the first 7 Coordinate Geometry & Transformations flashcards as text

A figure is rotated 90 degrees counterclockwise about the origin. Point (2, 3) maps to?
Answer: (-3, 2)
A 90 degree CCW rotation maps (x, y) to (-y, x), giving (-3, 2).
Which lines are parallel?
Answer: y = 2x + 1 and y = 2x - 4
Parallel lines have equal slopes; both have slope 2.
Two lines are perpendicular if their slopes are 3 and what value?
Answer: -1/3
Perpendicular slopes are negative reciprocals, so -1/3.
A dilation with scale factor 3 centered at the origin maps (2, -1) to?
Answer: (6, -3)
Multiply each coordinate by 3: (6, -3).
What is the length of the segment from (-3, 0) to (3, 0)?
Answer: 6
The horizontal distance is |3 - (-3)| = 6.
Reflecting (4, 5) across the line y = x gives?
Answer: (5, 4)
Reflection across y = x swaps the coordinates to (5, 4).
What is the y-intercept of the line 2x + 3y = 12?
Answer: 4
Set x = 0: 3y = 12, so y = 4.