The sharp angles of the slender triangle ruler are 30 ° and 60 ° respectively. Two identical slender triangular rulers can form an equilateral triangle. The length of the beveled edge of the slender triangle ruler is twice the length of the short square edge.

The two acute angles of the isosceles square are 45 °. Two identical isosceles right triangle rulers can form a square or a larger isosceles right triangle. The two right-angle sides of an isosceles square are equal in length.