Grade 4 Geometry worksheet for reading and plotting points on a coordinate grid in the first quadrant.
A Grade 4 Geometry worksheet titled "Reading points on a coordinate grid (1st quadrant only)" with a grid showing points A through J to be plotted.
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Step-by-step solution for: Grade 4 Geometry Worksheets: Read points on a coordinate grid | Worsheets library...
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Show Answer Key & Explanations
Step-by-step solution for: Grade 4 Geometry Worksheets: Read points on a coordinate grid | Worsheets library...
Let’s solve this step by step.
We are given a coordinate grid with points labeled A through J. We need to find the coordinates of each point. Remember, in a coordinate pair (x, y):
- The first number (x) tells you how far to move right from zero.
- The second number (y) tells you how far to move up from zero.
All points are in the first quadrant, so both x and y will be positive numbers or zero.
Let’s go point by point:
Point A:
It is on the y-axis, at height 1. So x = 0, y = 1 → (0, 1)
Point B:
Move right 4 units, then down to y = -1? Wait — no! The grid only shows up to y=9 and down to y=0? Actually, looking again — Point B is below the x-axis? But the worksheet says “1st quadrant only”. Hmm… let me check the image carefully.
Wait — actually, in the image, Point B is at x=4, y=-1? But that would be outside the first quadrant. Let me re-examine.
Actually, looking at the grid: the horizontal axis (x-axis) goes from 0 to 9. The vertical axis (y-axis) goes from 0 to 9. All points should have non-negative coordinates.
But Point B appears to be at (4, -1)? That can’t be right for 1st quadrant.
Wait — maybe I misread. Let me look again.
Actually, in the image provided, Point B is located at x=4, and it's one unit BELOW the x-axis? But the problem says “1st quadrant only”, which means y ≥ 0.
This might be an error — but let’s assume the grid includes negative y? No, the title says “1st quadrant only”.
Wait — perhaps Point B is at (4, 0)? But it looks like it’s below.
Actually, let me count the grid lines carefully.
Looking at the grid:
- The x-axis is the bottom line (y=0).
- Point B is drawn one square BELOW the x-axis? That would be y = -1.
But since the worksheet says “1st quadrant only”, maybe it’s a mistake in drawing? Or perhaps I’m misseeing.
Wait — let me check other points.
Point D is at x=6, y=8 — that’s fine.
Point E is at x=7, y=8 — also fine.
Point F is at x=8, y=5 — fine.
Point G is at x=7, y=2 — fine.
Point H is at x=6, y=1 — fine.
Point I is at x=8, y=1 — fine.
Point J is at x=9, y=1 — fine.
Point C is at x=3, y=4 — fine.
Point A is at x=0, y=1 — fine.
Now Point B — if we follow the grid, it’s at x=4, and it’s one unit below the x-axis. But since the problem says “1st quadrant only”, perhaps it’s meant to be at (4, 0)? Or maybe the grid allows y=0?
Actually, the first quadrant includes the axes? Typically, yes — x≥0, y≥0.
So if Point B is on the x-axis, y=0.
But in the image, it’s drawn below. This might be a typo in the worksheet.
However, looking closely at the original image description — the user said “Plot the points shown on the grid” — and in the grid, Point B is clearly at (4, -1)? But that contradicts “1st quadrant only”.
Wait — perhaps I made a mistake. Let me think differently.
Maybe the grid starts at y=0 at the bottom, and Point B is at y=0? But it’s drawn below the line.
Actually, in many grids, the x-axis is the line where y=0, and points on it have y=0.
If Point B is on the x-axis, then y=0.
In the image, it might be intended to be at (4, 0).
Similarly, Point A is at (0,1), which is on the y-axis.
Let me assume that Point B is at (4, 0), because otherwise it’s not in the first quadrant.
Perhaps the drawing has a slight error, but based on standard interpretation, and since the worksheet says “1st quadrant only”, we’ll take y≥0.
So:
Point B: x=4, y=0 → (4, 0)
Now let’s list all:
A: (0, 1)
B: (4, 0)
C: (3, 4)
D: (6, 8)
E: (7, 8)
F: (8, 5)
G: (7, 2)
H: (6, 1)
I: (8, 1)
J: (9, 1)
Let me double-check each:
- A: leftmost, on y-axis, one up → (0,1) ✓
- B: four right, on x-axis → (4,0) ✓ (assuming it's on the axis)
- C: three right, four up → (3,4) ✓
- D: six right, eight up → (6,8) ✓
- E: seven right, eight up → (7,8) ✓
- F: eight right, five up → (8,5) ✓
- G: seven right, two up → (7,2) ✓
- H: six right, one up → (6,1) ✓
- I: eight right, one up → (8,1) ✓
- J: nine right, one up → (9,1) ✓
All these are in the first quadrant (x≥0, y≥0).
Even though Point B looks like it's below, for the sake of the worksheet saying "1st quadrant only", we'll take it as (4,0).
Final Answer:
A = (0, 1)
B = (4, 0)
C = (3, 4)
D = (6, 8)
E = (7, 8)
F = (8, 5)
G = (7, 2)
H = (6, 1)
I = (8, 1)
J = (9, 1)
We are given a coordinate grid with points labeled A through J. We need to find the coordinates of each point. Remember, in a coordinate pair (x, y):
- The first number (x) tells you how far to move right from zero.
- The second number (y) tells you how far to move up from zero.
All points are in the first quadrant, so both x and y will be positive numbers or zero.
Let’s go point by point:
Point A:
It is on the y-axis, at height 1. So x = 0, y = 1 → (0, 1)
Point B:
Move right 4 units, then down to y = -1? Wait — no! The grid only shows up to y=9 and down to y=0? Actually, looking again — Point B is below the x-axis? But the worksheet says “1st quadrant only”. Hmm… let me check the image carefully.
Wait — actually, in the image, Point B is at x=4, y=-1? But that would be outside the first quadrant. Let me re-examine.
Actually, looking at the grid: the horizontal axis (x-axis) goes from 0 to 9. The vertical axis (y-axis) goes from 0 to 9. All points should have non-negative coordinates.
But Point B appears to be at (4, -1)? That can’t be right for 1st quadrant.
Wait — maybe I misread. Let me look again.
Actually, in the image provided, Point B is located at x=4, and it's one unit BELOW the x-axis? But the problem says “1st quadrant only”, which means y ≥ 0.
This might be an error — but let’s assume the grid includes negative y? No, the title says “1st quadrant only”.
Wait — perhaps Point B is at (4, 0)? But it looks like it’s below.
Actually, let me count the grid lines carefully.
Looking at the grid:
- The x-axis is the bottom line (y=0).
- Point B is drawn one square BELOW the x-axis? That would be y = -1.
But since the worksheet says “1st quadrant only”, maybe it’s a mistake in drawing? Or perhaps I’m misseeing.
Wait — let me check other points.
Point D is at x=6, y=8 — that’s fine.
Point E is at x=7, y=8 — also fine.
Point F is at x=8, y=5 — fine.
Point G is at x=7, y=2 — fine.
Point H is at x=6, y=1 — fine.
Point I is at x=8, y=1 — fine.
Point J is at x=9, y=1 — fine.
Point C is at x=3, y=4 — fine.
Point A is at x=0, y=1 — fine.
Now Point B — if we follow the grid, it’s at x=4, and it’s one unit below the x-axis. But since the problem says “1st quadrant only”, perhaps it’s meant to be at (4, 0)? Or maybe the grid allows y=0?
Actually, the first quadrant includes the axes? Typically, yes — x≥0, y≥0.
So if Point B is on the x-axis, y=0.
But in the image, it’s drawn below. This might be a typo in the worksheet.
However, looking closely at the original image description — the user said “Plot the points shown on the grid” — and in the grid, Point B is clearly at (4, -1)? But that contradicts “1st quadrant only”.
Wait — perhaps I made a mistake. Let me think differently.
Maybe the grid starts at y=0 at the bottom, and Point B is at y=0? But it’s drawn below the line.
Actually, in many grids, the x-axis is the line where y=0, and points on it have y=0.
If Point B is on the x-axis, then y=0.
In the image, it might be intended to be at (4, 0).
Similarly, Point A is at (0,1), which is on the y-axis.
Let me assume that Point B is at (4, 0), because otherwise it’s not in the first quadrant.
Perhaps the drawing has a slight error, but based on standard interpretation, and since the worksheet says “1st quadrant only”, we’ll take y≥0.
So:
Point B: x=4, y=0 → (4, 0)
Now let’s list all:
A: (0, 1)
B: (4, 0)
C: (3, 4)
D: (6, 8)
E: (7, 8)
F: (8, 5)
G: (7, 2)
H: (6, 1)
I: (8, 1)
J: (9, 1)
Let me double-check each:
- A: leftmost, on y-axis, one up → (0,1) ✓
- B: four right, on x-axis → (4,0) ✓ (assuming it's on the axis)
- C: three right, four up → (3,4) ✓
- D: six right, eight up → (6,8) ✓
- E: seven right, eight up → (7,8) ✓
- F: eight right, five up → (8,5) ✓
- G: seven right, two up → (7,2) ✓
- H: six right, one up → (6,1) ✓
- I: eight right, one up → (8,1) ✓
- J: nine right, one up → (9,1) ✓
All these are in the first quadrant (x≥0, y≥0).
Even though Point B looks like it's below, for the sake of the worksheet saying "1st quadrant only", we'll take it as (4,0).
Final Answer:
A = (0, 1)
B = (4, 0)
C = (3, 4)
D = (6, 8)
E = (7, 8)
F = (8, 5)
G = (7, 2)
H = (6, 1)
I = (8, 1)
J = (9, 1)
Parent Tip: Review the logic above to help your child master the concept of plotting points picture worksheet.