Geometry · Capstone · C1

Every shape.

Everything together: classify and combine angles, use angle sums, and compute perimeter, area, surface area, and volume — choosing the right formula for each figure.

01 / THE IDEA

See it work.

Watch the method

Every shape

Identify the figure, then pick the right formula.

1 / 2
1

Area of a rectangle

Area is length times width.

l×wl \times w
2

Multiply

Multiply the two dimensions.

8×5=408 \times 5 = 40
02 / YOUR TURN

Practice until it feels automatic.

Your turn

Find the measure.

Type the number — units optional.

streak 0
best 0

…

— / WHY IT WORKS

The idea underneath.

The toolkit

Angles (90°/180°/sums), area (l×w, ½bh, πr²), and volume (base × height).

Why it works

Name the shape, recall its formula.

03 / WORKED EXAMPLES

From easy to tricky.

EX 1easy

NaN

1

Area of a rectangle

Area is length times width. l × w

2

Multiply

Multiply the two dimensions. 103 × undefined = NaN

EX 2medium

NaN

1

Area of a rectangle

Area is length times width. l × w

2

Multiply

Multiply the two dimensions. 132 × undefined = NaN

EX 3hard

NaN

1

Area of a rectangle

Area is length times width. l × w

2

Multiply

Multiply the two dimensions. 80 × undefined = NaN

04 / COMMON TRAPS

Where students slip.

Trap

Mixing area and perimeter.

Fix

Area multiplies; perimeter adds.

Trap

Forgetting ½ or π.

Fix

Triangles need ½; circles need π.

05 / QUIZ

Test yourself.

The Test

12 problems across three tiers. Auto-graded on submit. Hints and a full walkthrough on every question. Your work is saved on this device — sign in to keep it across devices.

0/12Answered
How to answerType just the value. Formatting won't trip you up — we ignore spaces, capital letters, commas, and subscript style, so t₁ = 5, d = 3 and t1=5,d=3 both count. For a list of numbers, separate them with commas (e.g. 3, 10, 17).
Core

Core (4)

C1

1880

Need a hint?
  • Identify the figure first.
  • Recall its formula.
C2

NaN

Need a hint?
  • Identify the figure first.
  • Recall its formula.
C3

56

Need a hint?
  • Identify the figure first.
  • Recall its formula.
C4

6

Need a hint?
  • Identify the figure first.
  • Recall its formula.
Apply

Apply (4)

A1

NaN

Need a hint?
  • Identify the figure first.
  • Recall its formula.
A2

NaN

Need a hint?
  • Identify the figure first.
  • Recall its formula.
A3

63

Need a hint?
  • Identify the figure first.
  • Recall its formula.
A4

27

Need a hint?
  • Identify the figure first.
  • Recall its formula.
Extension

Extension (4)

E1

NaN

Need a hint?
  • Identify the figure first.
  • Recall its formula.
E2

10

Need a hint?
  • Identify the figure first.
  • Recall its formula.
E3

4503

Need a hint?
  • Identify the figure first.
  • Recall its formula.
E4

3300

Need a hint?
  • Identify the figure first.
  • Recall its formula.