Revision sheet

All the summary cards of the chapter on one page. Print it, or save it as a PDF from the print window.

Angle relationships

Complementary: 90°. Supplementary: 180°. Vertical: equal.

Watch out: complement 90, supplement 180.

Building triangles

Two shorter sides must add to more than the longest.

Watch out: equal is not enough.

Cross sections and rotations

Parallel slices copy the base; rectangle → cylinder, right triangle → cone, semicircle → sphere.

Watch out: the angle of the slice decides the shape.

Prisms and cylinders

$V = Bh$ ; cylinder $V = \pi r^2 h$ .

Watch out: base area, not circumference.

Surface area

Add the areas of all faces (square units).

Watch out: covering is area; filling is volume.

CC BY-SA 4.0