Shape Worksheets Houses - 10 Free PDF Printables | Printablee - Free Printable
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Step-by-step solution for: Shape Worksheets Houses - 10 Free PDF Printables | Printablee
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Show Answer Key & Explanations
Step-by-step solution for: Shape Worksheets Houses - 10 Free PDF Printables | Printablee
Let's solve the shape-counting problem in the image step by step. We need to count how many squares, circles, triangles, and rectangles are present in the picture.
---
- Square: A four-sided shape with equal sides and right angles.
- Circle: A round shape with no corners.
- Triangle: A three-sided shape.
- Rectangle: A four-sided shape with opposite sides equal and right angles (not necessarily equal sides like squares).
Note: Squares are a type of rectangle, but in this context, they are counted separately.
---
We'll go through each part of the image:
---
#### 1. The House
- Roof: One large triangle on top.
- Main structure: The house has a rectangular base.
- Windows:
- There are 6 windows (3 on each floor), each outlined as a square.
- Each window has a square frame and a rectangle below (window sill).
- So, 6 squares for the window panes.
- Door:
- The door is a rectangle.
- It has two smaller rectangles inside (panels) — these are also rectangles.
- The doorknob is a circle.
- Top of the house:
- Above the center window, there’s a small circle (possibly a decorative element or a vent).
---
#### 2. Trees
- Left tree: A tall triangle (tree top) on a rectangle (trunk).
- Middle tree: A circle (round top) on a rectangle (trunk).
- Right tree: A circle with multiple small circles inside (like a lollipop tree). This has:
- 1 large circle (top),
- Many small circles (dots) inside it,
- And a rectangle trunk.
---
#### 3. Doghouse
- Roof: A triangle.
- Body: A square (or rectangle? Let's check).
- Looks like a square.
- Door: An arch, which is not a basic shape, so we ignore it.
- So: 1 square, 1 triangle.
---
#### 4. Sun
- Center: A large circle.
- Rays: 8 triangles around it.
---
#### 5. Path
- Three ovals (ellipses), but since ovals are not circles, they are not counted unless specified.
- But wait — the question asks for circles, not ovals.
- Ovals are not circles → not counted.
---
#### 6. Ground
- Hills: Curved lines, no specific shapes.
---
---
#### ✔ Squares
- Window panes: 6
- Doghouse body: 1
- Door panels: 2 (inside the door)
- Wait: Are the door panels squares?
- They look like rectangles, but if they’re equal in width and height, maybe squares.
- From the drawing, they appear to be rectangles, not squares.
- So not counting them as squares.
- Any other squares?
Let’s double-check:
- Windows: 6 squares (each window pane).
- Doghouse: 1 square (body).
- Is the main house a square? No — it’s wider than tall → rectangle.
- Any others?
So:
- Squares: 6 (windows) + 1 (doghouse) = 7
Wait — let’s check the door again.
- The door has two rectangular panels — not squares.
- So no additional squares.
But look at the doghouse roof: triangle, not square.
So total squares: 7
Wait — actually, re-examining the doghouse:
- The doghouse body appears to be a square.
- The windows on the house: each is a square — 6 of them.
- Are any other squares?
No.
✔ Squares: 7
---
#### ✔ Circles
- Sun: 1 large circle.
- Sun rays: triangles, not circles.
- Tree tops:
- Middle tree: 1 circle.
- Right tree: 1 large circle + many small circles inside.
- How many small circles?
- Count them: let's see — roughly 10–12 small circles.
- Look closely: the image shows:
- 1 big circle,
- Then several smaller ones: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 — about 10 small circles.
- Actually, count them carefully:
- 1 large one,
- Then: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 — yes, 10 small circles.
- So total for that tree: 1 + 10 = 11 circles.
- Left tree: triangle — no circle.
- Door knob: 1 circle.
- Top of house: 1 small circle (dotted line).
- Path: ovals — not circles.
Now total circles:
- Sun: 1
- Middle tree: 1
- Right tree: 1 (big) + 10 (small) = 11
- Door knob: 1
- Top of house: 1 (dotted)
Total: 1 + 1 + 11 + 1 + 1 = 15
Wait — is the dotted circle counted? Yes, it’s a circle.
So:
✔ Circles: 15
---
#### ✔ Triangles
- House roof: 1 large triangle.
- Sun: 8 rays — all triangles.
- Left tree: 1 triangle (top).
- Doghouse roof: 1 triangle.
- Any others?
No.
So:
- House roof: 1
- Sun rays: 8
- Left tree: 1
- Doghouse roof: 1
Total: 1 + 8 + 1 + 1 = 11
✔ Triangles: 11
---
#### ✔ Rectangles
Now, count rectangles (excluding squares unless specified, but here squares are listed separately, so we include rectangles that are not squares).
- Main house body: 1 large rectangle.
- Window sills: 6 (one under each window) — rectangles.
- Door: 1 large rectangle.
- Door panels: 2 rectangles.
- Trunks of trees:
- Left tree: 1 rectangle.
- Middle tree: 1 rectangle.
- Right tree: 1 rectangle.
- Doghouse: base is a square — already counted as square, but if we're counting rectangles, squares are rectangles, but the instructions likely want separate counts.
- Since "squares" are listed separately, we don’t count squares again under rectangles.
- So doghouse base is a square, not counted here.
- Path: ovals — not rectangles.
- Other?
Let’s list:
- House body: 1 rectangle
- Window sills: 6 rectangles
- Door: 1 rectangle
- Door panels: 2 rectangles
- Tree trunks: 3 rectangles (left, middle, right)
- Any others?
Yes — the roof overhangs? The house has a horizontal extension above the windows — those are rectangles.
Look: above each side wing, there’s a horizontal rectangle — two of them.
So:
- Two rectangles (overhangs on left and right sides of the house).
Also, the base of the house — foundation? Not clearly drawn.
But:
- House body: 1
- Overhangs: 2
- Window sills: 6
- Door: 1
- Door panels: 2
- Tree trunks: 3
Total rectangles:
1 (house) + 2 (overhangs) + 6 (sills) + 1 (door) + 2 (panels) + 3 (trunks) = 15
But wait — are the overhangs rectangles? Yes — horizontal bars.
Are the window sills rectangles? Yes.
So:
✔ Rectangles: 15
But let’s confirm: are the window frames rectangles? The dashed lines show the window panes — those are squares, not rectangles.
So only the sills and frames?
Wait — the window frame itself is a rectangle, but the pane is a square.
But in the image, the window is shown as a square, and the sill is a rectangle below.
So:
- Each window has:
- A square pane (counted under squares),
- A rectangle sill (under rectangles).
So 6 sills → 6 rectangles.
Yes.
Now total rectangles:
- House body: 1
- Overhangs: 2
- Window sills: 6
- Door: 1
- Door panels: 2
- Tree trunks: 3
- Doghouse body: 1 — but it's a square, so not counted here (since squares are separate)
Wait — is the doghouse body a square or rectangle? It looks like a square.
So we don't count it here.
But what about the doghouse roof? Triangle — not rectangle.
So total rectangles:
1 (house) + 2 (overhangs) + 6 (sills) + 1 (door) + 2 (panels) + 3 (trunks) = 15
✔ Rectangles: 15
---
| Shape | Count |
|-------------|-------|
| Squares | 7 |
| Circles | 15 |
| Triangles | 11 |
| Rectangles | 15 |
---
- Squares: 7
- Circles: 15
- Triangles: 11
- Rectangles: 15
---
- Squares: 6 window panes + 1 doghouse body = 7
- Circles: Sun (1) + middle tree (1) + right tree (1 big + 10 small) + door knob (1) + top of house (1) = 15
- Triangles: House roof (1) + sun rays (8) + left tree (1) + doghouse roof (1) = 11
- Rectangles: House body (1) + overhangs (2) + window sills (6) + door (1) + door panels (2) + tree trunks (3) = 15
---
✔ Final Answer:
```
Squares: 7
Circles: 15
Triangles: 11
Rectangles: 15
```
---
Step 1: Understand the Shapes
- Square: A four-sided shape with equal sides and right angles.
- Circle: A round shape with no corners.
- Triangle: A three-sided shape.
- Rectangle: A four-sided shape with opposite sides equal and right angles (not necessarily equal sides like squares).
Note: Squares are a type of rectangle, but in this context, they are counted separately.
---
Step 2: Analyze the Image
We'll go through each part of the image:
---
#### 1. The House
- Roof: One large triangle on top.
- Main structure: The house has a rectangular base.
- Windows:
- There are 6 windows (3 on each floor), each outlined as a square.
- Each window has a square frame and a rectangle below (window sill).
- So, 6 squares for the window panes.
- Door:
- The door is a rectangle.
- It has two smaller rectangles inside (panels) — these are also rectangles.
- The doorknob is a circle.
- Top of the house:
- Above the center window, there’s a small circle (possibly a decorative element or a vent).
---
#### 2. Trees
- Left tree: A tall triangle (tree top) on a rectangle (trunk).
- Middle tree: A circle (round top) on a rectangle (trunk).
- Right tree: A circle with multiple small circles inside (like a lollipop tree). This has:
- 1 large circle (top),
- Many small circles (dots) inside it,
- And a rectangle trunk.
---
#### 3. Doghouse
- Roof: A triangle.
- Body: A square (or rectangle? Let's check).
- Looks like a square.
- Door: An arch, which is not a basic shape, so we ignore it.
- So: 1 square, 1 triangle.
---
#### 4. Sun
- Center: A large circle.
- Rays: 8 triangles around it.
---
#### 5. Path
- Three ovals (ellipses), but since ovals are not circles, they are not counted unless specified.
- But wait — the question asks for circles, not ovals.
- Ovals are not circles → not counted.
---
#### 6. Ground
- Hills: Curved lines, no specific shapes.
---
Now, Count Each Shape
---
#### ✔ Squares
- Window panes: 6
- Doghouse body: 1
- Door panels: 2 (inside the door)
- Wait: Are the door panels squares?
- They look like rectangles, but if they’re equal in width and height, maybe squares.
- From the drawing, they appear to be rectangles, not squares.
- So not counting them as squares.
- Any other squares?
Let’s double-check:
- Windows: 6 squares (each window pane).
- Doghouse: 1 square (body).
- Is the main house a square? No — it’s wider than tall → rectangle.
- Any others?
So:
- Squares: 6 (windows) + 1 (doghouse) = 7
Wait — let’s check the door again.
- The door has two rectangular panels — not squares.
- So no additional squares.
But look at the doghouse roof: triangle, not square.
So total squares: 7
Wait — actually, re-examining the doghouse:
- The doghouse body appears to be a square.
- The windows on the house: each is a square — 6 of them.
- Are any other squares?
No.
✔ Squares: 7
---
#### ✔ Circles
- Sun: 1 large circle.
- Sun rays: triangles, not circles.
- Tree tops:
- Middle tree: 1 circle.
- Right tree: 1 large circle + many small circles inside.
- How many small circles?
- Count them: let's see — roughly 10–12 small circles.
- Look closely: the image shows:
- 1 big circle,
- Then several smaller ones: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 — about 10 small circles.
- Actually, count them carefully:
- 1 large one,
- Then: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 — yes, 10 small circles.
- So total for that tree: 1 + 10 = 11 circles.
- Left tree: triangle — no circle.
- Door knob: 1 circle.
- Top of house: 1 small circle (dotted line).
- Path: ovals — not circles.
Now total circles:
- Sun: 1
- Middle tree: 1
- Right tree: 1 (big) + 10 (small) = 11
- Door knob: 1
- Top of house: 1 (dotted)
Total: 1 + 1 + 11 + 1 + 1 = 15
Wait — is the dotted circle counted? Yes, it’s a circle.
So:
✔ Circles: 15
---
#### ✔ Triangles
- House roof: 1 large triangle.
- Sun: 8 rays — all triangles.
- Left tree: 1 triangle (top).
- Doghouse roof: 1 triangle.
- Any others?
No.
So:
- House roof: 1
- Sun rays: 8
- Left tree: 1
- Doghouse roof: 1
Total: 1 + 8 + 1 + 1 = 11
✔ Triangles: 11
---
#### ✔ Rectangles
Now, count rectangles (excluding squares unless specified, but here squares are listed separately, so we include rectangles that are not squares).
- Main house body: 1 large rectangle.
- Window sills: 6 (one under each window) — rectangles.
- Door: 1 large rectangle.
- Door panels: 2 rectangles.
- Trunks of trees:
- Left tree: 1 rectangle.
- Middle tree: 1 rectangle.
- Right tree: 1 rectangle.
- Doghouse: base is a square — already counted as square, but if we're counting rectangles, squares are rectangles, but the instructions likely want separate counts.
- Since "squares" are listed separately, we don’t count squares again under rectangles.
- So doghouse base is a square, not counted here.
- Path: ovals — not rectangles.
- Other?
Let’s list:
- House body: 1 rectangle
- Window sills: 6 rectangles
- Door: 1 rectangle
- Door panels: 2 rectangles
- Tree trunks: 3 rectangles (left, middle, right)
- Any others?
Yes — the roof overhangs? The house has a horizontal extension above the windows — those are rectangles.
Look: above each side wing, there’s a horizontal rectangle — two of them.
So:
- Two rectangles (overhangs on left and right sides of the house).
Also, the base of the house — foundation? Not clearly drawn.
But:
- House body: 1
- Overhangs: 2
- Window sills: 6
- Door: 1
- Door panels: 2
- Tree trunks: 3
Total rectangles:
1 (house) + 2 (overhangs) + 6 (sills) + 1 (door) + 2 (panels) + 3 (trunks) = 15
But wait — are the overhangs rectangles? Yes — horizontal bars.
Are the window sills rectangles? Yes.
So:
✔ Rectangles: 15
But let’s confirm: are the window frames rectangles? The dashed lines show the window panes — those are squares, not rectangles.
So only the sills and frames?
Wait — the window frame itself is a rectangle, but the pane is a square.
But in the image, the window is shown as a square, and the sill is a rectangle below.
So:
- Each window has:
- A square pane (counted under squares),
- A rectangle sill (under rectangles).
So 6 sills → 6 rectangles.
Yes.
Now total rectangles:
- House body: 1
- Overhangs: 2
- Window sills: 6
- Door: 1
- Door panels: 2
- Tree trunks: 3
- Doghouse body: 1 — but it's a square, so not counted here (since squares are separate)
Wait — is the doghouse body a square or rectangle? It looks like a square.
So we don't count it here.
But what about the doghouse roof? Triangle — not rectangle.
So total rectangles:
1 (house) + 2 (overhangs) + 6 (sills) + 1 (door) + 2 (panels) + 3 (trunks) = 15
✔ Rectangles: 15
---
Final Tally
| Shape | Count |
|-------------|-------|
| Squares | 7 |
| Circles | 15 |
| Triangles | 11 |
| Rectangles | 15 |
---
✔ Answers:
- Squares: 7
- Circles: 15
- Triangles: 11
- Rectangles: 15
---
Summary of Counts:
- Squares: 6 window panes + 1 doghouse body = 7
- Circles: Sun (1) + middle tree (1) + right tree (1 big + 10 small) + door knob (1) + top of house (1) = 15
- Triangles: House roof (1) + sun rays (8) + left tree (1) + doghouse roof (1) = 11
- Rectangles: House body (1) + overhangs (2) + window sills (6) + door (1) + door panels (2) + tree trunks (3) = 15
---
✔ Final Answer:
```
Squares: 7
Circles: 15
Triangles: 11
Rectangles: 15
```
Parent Tip: Review the logic above to help your child master the concept of printable house shapes.