 ### Geometry Worksheets

We cover a wide range of geometry concepts. We focus primarily on angles, shapes, perimeter and area. For detailed geometry worksheets, see the geometry packs. If you are looking for simple geometry materials, please check our grade level and early childhood areas.

### Geometric Measures

These worksheets look at focus on common measurements such as area, perimeter, and volume.

### Application Problems

• Coordinate Rotations | Answer Key - Draw a transformation on a grid based on the instructions given.
• Diameter, Radius, or Center | Answer Key - Determine each segments relation to the circle. A good walk through of the skill.
• Drawing Reflections | Answer Key - Using a coordinate system. This is a quick one that is just there to make certain that students understand the concept of reflection.
• Find the Missing Trapezoid Measurement | Answer Key - Use the provided data to the area and height of trapezoids. Area of a trapezoid equals one-half times the sum of base one and two times the height.
• Use Geometry to Find The Measure of Angles | Answer Key - Using other given angles as a point of reference determine the unknown angle by using your knowledge of geometry.
• Use Length To Identify Triangles | Answer Key - This is a neat one. It kind of displays the power of math. It also reviews equilateral, isosceles, or scalene triangles.
• Using Pythagorean' Theorem | Answer Key - This is an action based Pythagorean' Theorem activity. It might help if students draw the actual triangle.
• Light My Stadium Math Lab- A really fun lab where students must use a variety of math skills to plan the lighting of a stadium. Mostly based on geometry skills.
• Light My Stadium Math Lab: Rubric - This rubric is a great habit to get your students into. Have them honestly grade it first, if they match your score; they get extra credit. It makes them much more accountable for their work.
• Light My Stadium Math Lab: Spec Sheet - This will be the work materials sheet for students during the project. You might want to look some of these items up, if you are unfamiliar with their use.

## What is Geometry?

Shapes are everywhere! Geometry for kids is the study of different shapes, positions, and sizes in your math textbook and in real life. It's not just numbers. Think of a tennis ball; Is it the shape of a circle, square, or triangle? These are only some of the shapes in geometry.

Did you know that there are different types of triangles? Or that four-sided polygons are called quadrilaterals? There's so much you can learn about through Geometry. In school, we first learn how to do geometry, 6th grade is an introduction to the basics, but it's okay if you still find it confusing. You'll learn how to use your geometric instruments in no time.

Learning geometry is super important because people use it for many things, like building houses and traveling to space.

Point

A point is just a dot on a piece of paper.

Line

If you draw 2 points on a piece of paper and use a ruler to connect them, you'll get a line! All shapes are made of connected lines.

Angles

What are angles? Why are they so important in learning geometry? When two lines meet at one point, it's called an angle. Angles are measured through degrees, which is the symbol °. The four types of angles are acute, obtuse, right, and reflex. A complete circle's angle would be 360°; if you went twice around the whole circle, that would be 720°!

Planes

A plane is a flat surface on which a point and a line exist. For example, look at the line you drew to connect two points. The paper is the plane! Planes are important in understanding what is geometry. They are also important in understanding the difference between 2-D and 3-D shapes.

Circles

A circle is a round shape that looks like an 'O'. There are some special things about circles that you can find out through learning geometry:

- If you draw a straight line from the center of the circle to the edge, it is called a radius.

- Double the radius is called the diameter.

- Any point on the circle will always be the same distance from the center

- The circle has the shortest perimeter than other shapes with the same area

- Circles are one of humans' favorite shapes. Can you spot a circle around you?

- Circles are mostly symmetrical

- A semicircle is half of a circle and it measures 180°

Polygons

Polygons are closed shapes with three or more sides. There are many different types of polygons. The number of sides makes each type of polygon different from the other. A polygon can never have curves and must always be closed. Polygons are named by combining the Greek words for numbers with –gon. For example, a if a polygon has 8 sides, it is known as an octagon.

What are triangles? Remembering some facts about triangles can make learning geometry super easy. Triangles are three-sided polygons, the smallest number of sides a polygon can have. The three angles of these sides will always add up to 180°. There are three different types of triangles:

- Equilateral: an equilateral triangle is one in which all three sides and all three angles are equal to each other.

- Isosceles: an isosceles triangle only has two equal sides, which means it also has two equal angles.

- Scalene: a scalene triangle has no equal sides and no equal angles!

The Angles in Triangles

What are angles in triangles? What is the name for triangles with different angles?

- Right-angle triangle: A right-angle triangle will have one angle that is 90°

- Obtuse angle: An obtuse angle will have one angle that is larger than 90°

- Acute Angle: An acute angle will have one angle that is less than 90°

If a polygon has four sides, it is called a quadrilateral. A rectangle is one example of a quadrilateral that has four equal sides. Most of the time, two sides of a quadrilateral are parallel. The most common quadrilaterals are squares and rectangles, but there are also special shapes. A kite is also a quadrilateral! So next time you fly your kite, you can see its shape and connect it to math!

Squares

A square is another type of polygon, but just like the rectangle, it has 4 sides instead of three. The interesting thing about squares is that all 4 sides are of the same length and have the same angles! It is a special type of rectangle.

The area of a square is always equal to one side to the power of two, also called ‘length-squared.' The perimeter of a square is always 4 times the length of one side because all the sides are equal!

Squares are really interesting. The opposite sides of a square are parallel to each other. All the angles inside the square add up to 360°. People use squares a lot, especially when it comes to constructing buildings. Engineers use squares the most!

Solid Figures

We talked about planes earlier. Squares, triangles, even circles are all 2-D shapes that are flat on a plane. But there are also 3-D shapes in geometry like a cube- which has a flat surface (with six square faces) but it's still considered to be a solid figure.

We hope this helped you understand what is geometry and how you can identify different types of shapes and angles. Learning geometry can be a little scary, especially in school, but shapes can be fun once you get the hang of them. There are so many different kinds that will make your head spin. Who knows? Maybe one day, you will get to use geometry to space travel and find a new planet. For now, just ‘what are triangles?' and ‘what are angles?' is all you need.