Amber Kuang

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.

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.

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, you can find the sum of the interior or exterior angles of a polygon based on the number of sides the polygon has. You can then apply this information to find individual interior or exterior angles. The sum of the exterior angles of any polygon is 360 degrees. The formula tells you the sum of the interior angles of a polygon, where n represents the number of sides.

Say that you have two triangles and you need to prove that the sides of the triangles are in proportion to each other. How do you do it? Elementary! You just need to prove the triangles are similar by AA (angle-angle). If two triangles are similar, this means the corresponding sides are in proportion. The following practice problem asks you to finish a proof showing the sides of two triangles are in proportion.

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.

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.

Coordinate geometry is the study of geometric figures graphed on a coordinate plane. The slope formula can be used to determine whether lines are parallel or perpendicular. The midpoint can be used to determine if segments are bisected and also can be used to find the center of a circle. The distance formula can be used to determine the lengths of sides of geometric figures.