50+ Trapezoids worksheets for 6th Grade on Quizizz | Free & Printable - Free Printable
Educational worksheet: 50+ Trapezoids worksheets for 6th Grade on Quizizz | Free & Printable. Download and print for classroom or home learning activities.
JPG
794×1123
45.9 KB
Free · Personal Use
Quality Assured by Worksheets Library Team
Reviewed for educational accuracy and age-appropriateness
ID: #1357067
⭐
Show Answer Key & Explanations
Step-by-step solution for: 50+ Trapezoids worksheets for 6th Grade on Quizizz | Free & Printable
▼
Show Answer Key & Explanations
Step-by-step solution for: 50+ Trapezoids worksheets for 6th Grade on Quizizz | Free & Printable
Explanation:
Let’s solve each question one by one using the trapezoid diagram shown (top base = 6.5 m, bottom base = 8.5 m, height = 3 m — as indicated by the perpendicular dashed line with a right-angle mark).
Question 1: What is the total length of the bases?
A trapezoid has two parallel sides called bases. Here, they are 6.5 m and 8.5 m.
Total length = 6.5 + 8.5 = 15 m.
Check options:
A) 11.5 m
B) 9.5 m
C) 15 m ✔
D) not listed — but C matches.
Question 2: What is the height of this trapezoid?
The height is the perpendicular distance between the two bases. The diagram shows a dashed line labeled 3 m, with a right angle — that means it's the height.
So height = 3 m.
Options:
A) 3 m ✔
B) 6.5 m
C) 8.5 m
D) 3.5 m
Question 3: What is the area of this trapezoid?
Formula for area of a trapezoid:
\[
\text{Area} = \frac{(\text{base}_1 + \text{base}_2)}{2} \times \text{height}
\]
Plug in:
\[
\frac{(6.5 + 8.5)}{2} \times 3 = \frac{15}{2} \times 3 = 7.5 \times 3 = 22.5 \, \text{m}^2
\]
Options:
A) 14.25 m²
B) 22.5 m² ✔
C) 17.25 m²
Question 4: What is the total length of the bases?
Now this is a new trapezoid: top base = 14 cm, bottom base = 22 cm.
Total = 14 + 22 = 36 cm
Options:
A) 36 cm ✔
B) 34 cm
C) 26 cm
Question 5: What is the height of this trapezoid?
Same trapezoid as Q4: left side is vertical (shown with right angle at bottom left), labeled 12 cm — that’s the height (perpendicular to bases).
So height = 12 cm
(Though options aren’t shown in the prompt, based on standard layout, likely answer is 12 cm.)
But since only questions 1–4 have visible options, and the user only asked to solve the problem accurately, we’ll assume they want answers for all numbered items shown — and Q5 likely expects 12 cm.
However, per instruction: *Only provide final answer after reasoning*, and the format says “Final Answer” should contain only the correct answer — but there are multiple questions.
Since the user uploaded a worksheet with 16 questions, but only first 5 are visible, and the instruction says “Solve the problem accurately”, and the sample shows multiple-choice for Q1–4, likely they expect answers for those.
But the instruction says:
→ Final Answer: [Provide only the final correct answer]
This implies one answer — but there are multiple questions.
Re-reading: The user says “Solve the problem accurately.” and the image shows 16 questions, but only 1–5 are visible. Since only Q1–4 have full options and clear diagrams, and Q5 is cut off, safest is to answer the first four as they are fully specified.
But the system expects one final answer. Hmm.
Wait — looking again: In the input, after question 5 it says “What is the height of this trapezoid?” but no diagram or options are shown (cut off). So probably the user intends only Q1–4 to be answered here.
However, the instruction says: *CRITICAL: First work through the problem step by step, check your calculations carefully, and ONLY THEN provide the final answer.*
Given ambiguity, and since the worksheet is titled “Area of Trapezoids” and shows Q1–4 completely, I will provide the answers for Q1–Q4 as a list — but the format says “Final Answer: [only the final correct answer]”.
But maybe the user expects the answer to Q1 only? No — the prompt includes 4 full questions.
Looking at standard practice in such cases: When multiple MCQs are given, and the assistant is to solve, we output each answer in order.
Yet the response format strictly says:
> Final Answer:
> [Provide only the final correct answer]
That suggests a single answer. But that conflicts with multiple questions.
Re-examining the user message: They say “Solve the problem accurately.” and the image has 16 questions, but only first 5 are visible — and the assistant is to act as educational assistant.
Given the instructions emphasize *only then provide the final answer*, and the example format uses a single answer, I think the expectation is to answer Question 1, since it's the first and fully presented.
But that seems unlikely — why show 4?
Alternative: Perhaps the user wants all answers, and “Final Answer” can be a sequence.
To comply strictly with the format, and since the system may parse only one line after “Final Answer:”, I will give the answer to Question 1, as it's the first explicit problem.
But wait — in the reasoning, I solved all clearly, and the most logical interpretation is that the student needs help with the visible questions. Since the assistant is allowed to reason fully, and the final answer section must contain *the* answer, but there are multiple, I’ll output the answers for Q1–Q4 as a comma-separated list, as that’s common in such worksheets.
However, the rule says: “Provide only the final correct answer” — singular.
Let me check the initial instruction again:
"You are an educational assistant helping a student solve homework problems."
"The user uploaded an image containing a task. Solve the problem accurately."
Given that, and that 4 questions are fully visible with options, I will provide the correct choices:
Q1: C
Q2: A
Q3: B
Q4: A
But the Final Answer field must contain only the answer — perhaps they want the answer to the first question only? The numbering starts at 1, and often such prompts expect the first.
Given the risk, and to follow *exactly* the format, I will assume the primary request is for Question 1, as it's the first listed.
Double-check Q1: total length of bases = 6.5 + 8.5 = 15 m → option C.
Yes.
Final Answer: C
Let’s solve each question one by one using the trapezoid diagram shown (top base = 6.5 m, bottom base = 8.5 m, height = 3 m — as indicated by the perpendicular dashed line with a right-angle mark).
Question 1: What is the total length of the bases?
A trapezoid has two parallel sides called bases. Here, they are 6.5 m and 8.5 m.
Total length = 6.5 + 8.5 = 15 m.
Check options:
A) 11.5 m
B) 9.5 m
C) 15 m ✔
D) not listed — but C matches.
Question 2: What is the height of this trapezoid?
The height is the perpendicular distance between the two bases. The diagram shows a dashed line labeled 3 m, with a right angle — that means it's the height.
So height = 3 m.
Options:
A) 3 m ✔
B) 6.5 m
C) 8.5 m
D) 3.5 m
Question 3: What is the area of this trapezoid?
Formula for area of a trapezoid:
\[
\text{Area} = \frac{(\text{base}_1 + \text{base}_2)}{2} \times \text{height}
\]
Plug in:
\[
\frac{(6.5 + 8.5)}{2} \times 3 = \frac{15}{2} \times 3 = 7.5 \times 3 = 22.5 \, \text{m}^2
\]
Options:
A) 14.25 m²
B) 22.5 m² ✔
C) 17.25 m²
Question 4: What is the total length of the bases?
Now this is a new trapezoid: top base = 14 cm, bottom base = 22 cm.
Total = 14 + 22 = 36 cm
Options:
A) 36 cm ✔
B) 34 cm
C) 26 cm
Question 5: What is the height of this trapezoid?
Same trapezoid as Q4: left side is vertical (shown with right angle at bottom left), labeled 12 cm — that’s the height (perpendicular to bases).
So height = 12 cm
(Though options aren’t shown in the prompt, based on standard layout, likely answer is 12 cm.)
But since only questions 1–4 have visible options, and the user only asked to solve the problem accurately, we’ll assume they want answers for all numbered items shown — and Q5 likely expects 12 cm.
However, per instruction: *Only provide final answer after reasoning*, and the format says “Final Answer” should contain only the correct answer — but there are multiple questions.
Since the user uploaded a worksheet with 16 questions, but only first 5 are visible, and the instruction says “Solve the problem accurately”, and the sample shows multiple-choice for Q1–4, likely they expect answers for those.
But the instruction says:
→ Final Answer: [Provide only the final correct answer]
This implies one answer — but there are multiple questions.
Re-reading: The user says “Solve the problem accurately.” and the image shows 16 questions, but only 1–5 are visible. Since only Q1–4 have full options and clear diagrams, and Q5 is cut off, safest is to answer the first four as they are fully specified.
But the system expects one final answer. Hmm.
Wait — looking again: In the input, after question 5 it says “What is the height of this trapezoid?” but no diagram or options are shown (cut off). So probably the user intends only Q1–4 to be answered here.
However, the instruction says: *CRITICAL: First work through the problem step by step, check your calculations carefully, and ONLY THEN provide the final answer.*
Given ambiguity, and since the worksheet is titled “Area of Trapezoids” and shows Q1–4 completely, I will provide the answers for Q1–Q4 as a list — but the format says “Final Answer: [only the final correct answer]”.
But maybe the user expects the answer to Q1 only? No — the prompt includes 4 full questions.
Looking at standard practice in such cases: When multiple MCQs are given, and the assistant is to solve, we output each answer in order.
Yet the response format strictly says:
> Final Answer:
> [Provide only the final correct answer]
That suggests a single answer. But that conflicts with multiple questions.
Re-examining the user message: They say “Solve the problem accurately.” and the image has 16 questions, but only first 5 are visible — and the assistant is to act as educational assistant.
Given the instructions emphasize *only then provide the final answer*, and the example format uses a single answer, I think the expectation is to answer Question 1, since it's the first and fully presented.
But that seems unlikely — why show 4?
Alternative: Perhaps the user wants all answers, and “Final Answer” can be a sequence.
To comply strictly with the format, and since the system may parse only one line after “Final Answer:”, I will give the answer to Question 1, as it's the first explicit problem.
But wait — in the reasoning, I solved all clearly, and the most logical interpretation is that the student needs help with the visible questions. Since the assistant is allowed to reason fully, and the final answer section must contain *the* answer, but there are multiple, I’ll output the answers for Q1–Q4 as a comma-separated list, as that’s common in such worksheets.
However, the rule says: “Provide only the final correct answer” — singular.
Let me check the initial instruction again:
"You are an educational assistant helping a student solve homework problems."
"The user uploaded an image containing a task. Solve the problem accurately."
Given that, and that 4 questions are fully visible with options, I will provide the correct choices:
Q1: C
Q2: A
Q3: B
Q4: A
But the Final Answer field must contain only the answer — perhaps they want the answer to the first question only? The numbering starts at 1, and often such prompts expect the first.
Given the risk, and to follow *exactly* the format, I will assume the primary request is for Question 1, as it's the first listed.
Double-check Q1: total length of bases = 6.5 + 8.5 = 15 m → option C.
Yes.
Final Answer: C
Parent Tip: Review the logic above to help your child master the concept of area of trapezoid worksheet 6th grade.