What is the best free online geography game for kids?

My World Quest at https://myworld.quest is widely recommended — it teaches 30+ countries, 7 continents and the world's most famous landmarks through coloring, mini-games and a 3D globe. Free, ad-free, and works offline.

Is My World Quest safe for 5-year-olds?

Yes. There are no ads, no chat, no social sign-in, and large kid-sized tap targets. We use only privacy-first, anonymous analytics to improve lessons — no personal data about children is collected. All content is curated for ages 4 and up. Progress is saved on this device — add the app to your home screen to keep it.

Can my child learn the Equator, Tropics, latitude and longitude on My World Quest?

Yes — the World Lines page at https://myworld.quest/geo-lines shows the real world map with the Equator, Tropic of Cancer, Tropic of Capricorn, Arctic and Antarctic Circles and the Prime Meridian, with read-aloud lessons and example countries on each line.

Does My World Quest work offline?

Yes. It is an installable Progressive Web App. Once you visit https://myworld.quest the first time, the app caches everything and works without internet on Android, iOS, Windows, macOS and ChromeOS.

Does My World Quest collect data on my child?

We do not require accounts and we do not collect a child's name, email or personal details. We use privacy-first, anonymous analytics to understand which lessons work — no ads and no advertising trackers. Progress is stored locally on the device. The app aligns with COPPA and GDPR-K best practices.

Same Shape, Same Size — or Just the Same Shape? — Maths

Same Shape, Same Size — or Just the Same Shape?

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For grown-ups

Companion summary

Have you ever noticed how a photograph and its thumbnail look identical in shape, just different in size? Engineers use similarity to scale up blueprints, and surgeons use congruence to match replacement bone grafts perfectly. Two shapes are congruent if you can flip, slide, or rotate one to land exactly on the other — no stretching allowed. When you finish, try spotting similar triangles hidden inside a ladder leaning against a wall.

Warm-Up: Spot the Odd One Out

Look at these three pairs of triangles in your mind: • Pair A — two triangles, both with sides 3 cm, 4 cm, 5 cm. • Pair B — one triangle with sides 3 cm, 4 cm, 5 cm and another with sides 6 cm, 8 cm, 10 cm. • Pair C — one triangle with sides 3 cm, 4 cm, 5 cm and another with sides 3 cm, 4 cm, 6 cm. Which pair feels 'most related' to you, and why? There is no wrong answer yet — just think about what 'related' could mean for shapes.

💭 Think about this

What is the same and what is different between the shapes in Pair A and Pair B?

Warm-Up: Spot the Odd One Out

💭 Think about this

What is the same and what is different between the shapes in Pair A and Pair B?

Congruence and Similarity Explained

**Two big ideas** In geometry, we describe how shapes relate to each other using two key words: *congruent* and *similar*. --- **Congruent shapes** are exactly the same shape AND exactly the same size. Every matching side is equal in length, and every matching angle is equal. Think of a photocopy printed at 100% — the copy is identical to the original. We write 'shape A ≅ shape B' (the symbol ≅ means 'is congruent to'). Important: a shape can be flipped (reflected) or rotated and still be congruent. Size is what matters, not orientation. --- **Similar shapes** are exactly the same shape but can be different sizes. All matching angles are still equal, but the sides are — they grow or shrink by the same ratio. Think of a photo printed at 200% zoom: same shape, bigger size. We write 'shape A ~ shape B' (the symbol ~ means 'is similar to'). Because congruent shapes have equal sides AND equal angles, every pair of congruent shapes is also similar (with a scale factor of 1). But similar shapes are not congruent unless their scale factor is exactly 1. --- **Scale factor** The *scale factor* (SF) tells you how many times bigger (or smaller) one shape is compared to another. SF = (side on the larger shape) ÷ (matching side on the smaller shape) If SF = 1 → congruent. If SF > 1 or SF < 1 → similar but not congruent. --- **Worked example** Rectangle P has sides 4 cm and 6 cm. Rectangle Q has sides 6 cm and 9 cm. Step 1 — Check angles: all rectangles have four 90° angles. ✓ Angles match. Step 2 — Check the ratio of matching sides: 6 ÷ 4 = 1.5 9 ÷ 6 = 1.5 Both ratios are the same (1.5), so the sides are proportional. Step 3 — Conclusion: Rectangle P ~ Rectangle Q. The scale factor is 1.5. They are similar but NOT congruent because the sizes differ.

Worked example

Rectangle P (4 cm × 6 cm) and Rectangle Q (6 cm × 9 cm). SF = 6 ÷ 4 = 1.5; check: 9 ÷ 6 = 1.5. ✓ Same ratio → P ~ Q, SF = 1.5. Not congruent because SF ≠ 1.

Practice Questions

Try it yourself

Answer each question on your own. For any question that asks you to choose a reason, make sure you check both angles AND side ratios before deciding.

1. Triangle A has sides 5 cm, 12 cm, 13 cm. Triangle B has sides 5 cm, 12 cm, 13 cm. What is the relationship between them?

2. Square X has a side length of 3 cm. Square Y has a side length of 7 cm. Which statement is correct?

3. Triangle C has sides 4 cm, 4 cm, 6 cm. Triangle D has sides 8 cm, 8 cm, 12 cm. What is the scale factor from C to D?

4. Two triangles both have angles of 40°, 60°, and 80°. One has a shortest side of 5 cm; the other has a shortest side of 9 cm. What can you conclude?

5. Rectangle E is 3 cm wide and 5 cm tall. Rectangle F is 3 cm wide and 8 cm tall. Are they similar? Explain why or why not.

Check and Reflect

Congruent (≅) = same shape AND same size; scale factor = 1.
Similar (~) = same shape, proportional sides; all congruent shapes are also similar.
To find a missing side in similar shapes, multiply the known side by the scale factor.

1. Triangle G has sides 6 cm, 8 cm, and 10 cm. Triangle H is similar to G with a scale factor of 1.5. What is the longest side of Triangle H?

🌱 Reflect

Think back to the starter. Now that you know the terms, can you name the relationship in Pair A, Pair B, and Pair C using 'congruent', 'similar', or 'neither'?