Coordinate Plane Flashcards
Free coordinate plane flashcards covering axes, quadrants, ordered pairs, plotting points, distance, midpoint, slope and reflections. Flip each card, say the answer first, then mark what you know and drill what you miss.
Keys: Space or Enter flips, arrow keys move, K marks known, R marks review. No sign-up and nothing is stored.
How to study with these coordinate plane flashcards
- Read the front of the card and say or write your answer before you flip it.
- Flip the card, then mark I know this only if you were right without hesitating.
- Mark Review again for anything you missed, then use Review missed only to drill those cards.
- Pick one topic at a time, then shuffle all topics for a mixed review.
Study tips for the coordinate plane
Do short rounds of 10 to 15 cards. Say the answer out loud before you flip, then use Review missed only until the pile is empty. Come back the next day: spacing your practice beats one long session.
All 35 cards at a glance
Every card is also listed below so you can scan, print or review without the viewer.
Basics
| Question | Answer |
|---|---|
| What is the coordinate plane | A flat grid formed by a horizontal x-axis and a vertical y-axis that cross at the origin. |
| What is the origin | The point (0, 0) where the axes meet. |
| What is an ordered pair | A pair (x, y) giving a point’s position: x is horizontal, y is vertical. |
| How do you plot (3, −2) | Start at the origin, move right 3, then down 2. |
| Which axis is horizontal | The x-axis. |
| Which axis is vertical | The y-axis. |
| What are the signs in Quadrant I | (+, +). |
| What are the signs in Quadrant II | (−, +). |
| What are the signs in Quadrant III | (−, −). |
| What are the signs in Quadrant IV | (+, −). |
| How are the quadrants numbered | Counterclockwise from the upper right: I, II, III, IV. |
| Where does (0, 5) lie | On the y-axis, not in any quadrant. |
Formulas
| Question | Answer |
|---|---|
| What is the slope formula | m = (y₂ − y₁) / (x₂ − x₁). |
| Find the slope through (1, 2) and (3, 8) | 3 (6 divided by 2). |
| What is the slope of a horizontal line | 0. |
| What is the slope of a vertical line | Undefined. |
| What is the distance formula | d = √[(x₂ − x₁)² + (y₂ − y₁)²]. |
| Find the distance from (0, 0) to (3, 4) | 5. |
| What is the midpoint formula | ((x₁ + x₂)/2, (y₁ + y₂)/2). |
| Find the midpoint of (2, 4) and (8, 10) | (5, 7). |
| What is slope-intercept form | y = mx + b, where m is the slope and b is the y-intercept. |
| What is the equation of the x-axis | y = 0. |
| What is the equation of the y-axis | x = 0. |
| What is the slope of parallel lines | Equal slopes. |
| What is the slope of perpendicular lines | Negative reciprocals, so m₁ × m₂ = −1. |
Transformations
| Question | Answer |
|---|---|
| What happens to (x, y) when reflected across the x-axis | It becomes (x, −y). |
| What happens to (x, y) when reflected across the y-axis | It becomes (−x, y). |
| What happens to (x, y) when reflected across y = x | It becomes (y, x). |
| What happens to (x, y) when rotated 180° about the origin | It becomes (−x, −y). |
| What happens to (x, y) when rotated 90° counterclockwise about the origin | It becomes (−y, x). |
| What is a translation | Sliding every point the same distance in the same direction: (x, y) → (x + a, y + b). |
| Reflect (3, 5) across the x-axis | (3, −5). |
| Translate (2, 1) right 4 and down 3 | (6, −2). |
| What is a dilation | A resize from a center point by a scale factor k: (x, y) → (kx, ky) about the origin. |
| Dilate (2, 3) by a factor of 3 about the origin | (6, 9). |
Frequently asked questions
Which number comes first in an ordered pair?
The x-coordinate comes first (horizontal), then the y-coordinate (vertical).
What are the four quadrants?
Quadrant I is upper right, II upper left, III lower left and IV lower right, numbered counterclockwise.
When is the coordinate plane taught?
Plotting in the first quadrant begins in Grade 5, and all four quadrants are used from Grade 6.
Sources
More free math flashcards
Related to This Article
More math articles
- Iowa Algebra 1 Free Worksheets: Printable Algebra 1 PDF Practice for Every Topic
- Dutch New Netherland: Commerce, Diversity and Unequal Rights
- Best Calculators for High School Algebra II
- The Best SAT Math Book for Students Starting From the Basics
- Word Problems Involving Volume of Cubes and Rectangular Prisms
- The Best Grade 5 ELA Practice Tests for North Carolina Students
- Network Effects: Growth, Competition and Concentration
- Truth Table Calculator
- Vermont SBAC Grade 8 Math Free Worksheets: Free Printable PDF Worksheets with Worked Solutions
- Society, Social Structure, and Everyday Interaction
What people say about "Coordinate Plane Flashcards: Free Online Study Cards"?
No one replied yet.