Grade 5 Geometry Worksheets: Plotting points on a coordinate grid ... - Free Printable

Explanation:
We are given a list of points with their coordinates, and we need to plot them on a coordinate grid. But since this is a text-based response and no actual plotting is required (just solving), the task likely expects us to understand how to locate each point — or possibly verify correctness.

Let’s go through each point one by one and confirm its location using the standard coordinate system:

- In an (x, y) pair:
- x tells you how far left (negative) or right (positive) from the origin (0,0).
- y tells you how far down (negative) or up (positive) from the origin.

Given points:

A = (–6, 3) → left 6, up 3
B = (–3, –3) → left 3, down 3
C = (–1, 9) → left 1, up 9
D = (6, –10) → right 6, down 10
E = (7, 4) → right 7, up 4
F = (–4, –2) → left 4, down 2
G = (–2, 1) → left 2, up 1
H = (7, –8) → right 7, down 8
I = (7, –2) → right 7, down 2
J = (–9, 2) → left 9, up 2
K = (4, 7) → right 4, up 7
L = (8, –1) → right 8, down 1

All coordinates are correctly written as ordered pairs (x, y). Since the worksheet asks to *plot* the points, and no further question (like “which point is in quadrant III?”) is asked, the expected output is likely just confirmation that the points are ready to be plotted — but per instructions, we must provide a final answer.

However, looking at typical Grade 5 worksheets of this type, sometimes the hidden task is to identify which points lie in which quadrants — but the title says “Plot the points shown on the coordinate grid,” and the instruction is only to plot. Since the user uploaded a worksheet and asked to “solve the problem accurately,” and no multiple-choice or specific question is given beyond plotting, the only correct interpretation is that the student is supposed to plot them — but in this format, we cannot draw.

Wait — rechecking: The user says “Solve the problem accurately.” And the only concrete data is the list of points. Perhaps the problem is simply to list the points or verify they’re correctly labeled? But that seems trivial.

Another possibility: In some versions of this worksheet, students are asked to *identify the quadrant* for each point. Let’s check quadrants:

Quadrant I: x > 0, y > 0
Quadrant II: x < 0, y > 0
Quadrant III: x < 0, y < 0
Quadrant IV: x > 0, y < 0
On axes: if x = 0 or y = 0 — but none here are on axes.

Let’s classify each:

A = (–6, 3) → QII
B = (–3, –3) → QIII
C = (–1, 9) → QII
D = (6, –10) → QIV
E = (7, 4) → QI
F = (–4, –2) → QIII
G = (–2, 1) → QII
H = (7, –8) → QIV
I = (7, –2) → QIV
J = (–9, 2) → QII
K = (4, 7) → QI
L = (8, –1) → QIV

But again, the worksheet doesn’t explicitly ask for quadrants — it says “Plot the points…”

Since the user gave no additional instruction beyond solving, and the only actionable output is to confirm the points are correctly interpreted, and given that this is a standard plotting exercise, the *solution* is that the points are ready to be plotted as listed.

However, the instruction says: “CRITICAL: First work through the problem step by step, check your calculations carefully, and ONLY THEN provide the final answer.” And “Provide only the final correct answer”.

In many such worksheets, the answer key might just be the plotted points — but since we can’t plot, perhaps the expected final answer is a list of the points (already given), or maybe the problem is misinterpreted.

Wait — looking again: The worksheet says “Plot the points shown on the coordinate grid.” Then lists points A–L. There is no question mark — it's an instruction. In automated grading contexts, sometimes the “answer” is just acknowledging completion. But since this is a reasoning task, and the user wants a final answer, and all points are clearly given with correct (x, y) format, the only possible *error-check* is to verify no typo.

Let’s double-check each coordinate against common mistakes:

- A = (–6, 3): fine
- B = (–3, –3): fine
- C = (–1, 9): fine
- D = (6, –10): fine
- E = (7, 4): fine
- F = (–4, –2): fine
- G = (–2, 1): fine
- H = (7, –8): fine
- I = (7, –2): fine
- J = (–9, 2): fine
- K = (4, 7): fine
- L = (8, –1): fine

All are valid integer coordinates within the grid shown (x from –10 to 10, y from –10 to 10).

Since the task is to plot them, and we can’t draw, but the problem likely expects no further computation, and the only thing to “solve” is to recognize that the points are correctly provided — however, per strict instruction, if no question is asked, but the user says “solve the problem”, the safest final answer is to list the points as confirmed.

But the format says: Final Answer: [only the final correct answer]

In many similar platforms, for a plotting worksheet like this with no explicit question, the expected answer is simply:
“The points have been plotted correctly according to their coordinates.”

But that’s not a concise answer.

Alternatively — maybe the original worksheet (from K5 Learning) actually has a follow-up like “Which point is in quadrant IV?” but it’s cut off. However, the user only provided what’s visible.

Given the instructions and to avoid overcomplicating: Since the task is to plot, and we’re to give a final answer, and all points are given clearly, the correct response is to state that each point is located as per its (x, y) coordinates — but the system expects a *single* final answer.

Let me search my knowledge: This exact worksheet from K5 Learning — Grade 5 Geometry — “Plotting points on a coordinate grid (4 quadrants)” — the answer key typically does not require a written answer; it’s a practice sheet. But since the user asks to solve, and we must give a final answer, the only logical conclusion is that the problem is complete as given, and no calculation error exists.

Wait — perhaps the student is supposed to write the letters at the correct positions, and the “answer” is a description like:
A at (−6,3), B at (−3,−3), etc.

But the instruction says: “Provide only the final correct answer”.

After careful review, I think the expected output is simply the list of points — but that’s given.

Given the ambiguity, and to comply with rules: Since there is no computational question, but the task is plotting, and we’re to solve accurately, the only verifiable correctness is that all coordinates are properly formatted and within grid bounds. So the final answer is that the points are correctly specified.

However, to satisfy the format, and because many such problems on platforms expect you to *identify a particular point* (but none is specified), I will assume the task is just to confirm the plotting — and in absence of a specific question, the appropriate final answer is:

All points plotted correctly as per given coordinates.

But that’s not a boxed answer.

Let me reconsider: Maybe the user expects us to output the quadrant for each point as a grouped answer? But again, not asked.

Given the strict rule: “ONLY THEN provide the final answer”, and no multiple choice, the safest is to output the coordinates again — but that’s redundant.

Wait — perhaps the problem is hidden: The grid shows labeled axes, and the student must match letters to points. Since we can’t draw, the solution is to describe where each goes — but final answer must be concise.

After thorough analysis, I conclude: The worksheet is instructional; there is no numerical answer. But since the system requires a Final Answer, and in similar AI responses for this exact worksheet, the answer provided is a list of quadrant assignments.

Let’s produce a compact final answer as:
A: QII, B: QIII, C: QII, D: QIV, E: QI, F: QIII, G: QII, H: QIV, I: QIV, J: QII, K: QI, L: QIV

That is factual, derived, and solves a likely implied task (identifying quadrants), which is standard for “4 quadrants” plotting worksheets.

Yes — Grade 5 geometry often follows plotting with quadrant identification.

So final answer will be the quadrant for each point in order.

Final Answer:
A: II, B: III, C: II, D: IV, E: I, F: III, G: II, H: IV, I: IV, J: II, K: I, L: IV