Allen Ma

Geometry is full of formulas, properties, and theorems. You can become successful in geometry by remembering the most important ones and learning how to apply them. Use this reference sheet as you practice various geometry problems to grow your knowledge and skills.Geometry practice problems with triangles and polygonsA polygon is a geometric figure that has at least three sides.

If you are given two side lengths of a triangle, you can use geometry to determine possible values for the missing third side. In the case of an isosceles triangle, you can find the exact value. The following practice questions ask you to find the missing third side in both situations. Practice questions If two sides of an isosceles triangle are 6 and 12, what must the third side be?

In geometry, special right triangles are great to work with because the ratio of their sides will always be the same, making calculations easier. The two special triangles you need to know are the isosceles (or 45-45-90) and 30-60-90 right triangles. You can use your knowledge of special right triangles to answer the following questions.

To solve geometry problems about circles, you will need to know the following circle theorems involving tangents, secants, and chords. These theorems can be used to find information about angles, intercepted arcs, and length of segments of a circle. In addition, you find the standard and general form of a circle, the formulas for area and circumference, and the area of a sector of a circle.

Many formulas are associated with the study of three-dimensional shapes in geometry. Here, you find formulas for calculating the volume, surface area, and lateral area of cylinders, cones, spheres, pyramids, cube, and rectangular prisms. Cylinders The lateral area of a cylinder equals Cones The later

In geometry, when you have an inscribed angle on a circle, the measure of the inscribed angle and the length of the intercepted arc are related. An inscribed angle is equal to half of the intercepted arc. The following practice questions ask you to find the measure of an inscribed arc and an inscribed angle. Practice questions Equilateral triangle is inscribed in Circle O.

In two-dimensional geometry, a parallelogram is a quadrilateral (a four-sided figure) with two pairs of congruent sides and two pairs of congruent angles. The following practice questions ask you to use the properties of parallelograms to find missing angles and variables. Practice questions In parallelogram MATH, diagonals intersect at E.

A polygon is a geometric figure that has at least three sides. The triangle is the most basic polygon. You will find the following formulas and properties useful when answering questions involving triangle inequalities, right triangles, relationships between the angles and sides of triangles, and interior and exterior angles of polygons.