### 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.

- Geometry Practice Worksheet - A super quick practice sheet for you.
- Geometric Shape Worksheet - For elementary levels

### Geometric Measures

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

- Advanced Surface Area | Answer Key - A full on review of surface area using all types of shapes. Students might find number 2 a bit of a challenge.
- Area and Circumference in terms of Pi | Answer Key - Using the measurements that are given determine the circumference of the described circle.
- Area and Perimeter Based Word Problems | Answer Key - We find that students take a good amount of time to get the hang of these problems. We suggest drawing the shape that is described, it helps a great deal.
- Area and Perimeter Of A Rectangle Worksheet | Answer Key - Students are asked to find both area and perimeter of various sized rectangles.
- Area of Parallelograms | Answer Key - You are given nine parallelograms. Based on the measurements provided determine the area of each.
- Find Directed Area | Answer Key - Determine the area of each shape described below. This is a great test of skills for students.
- Find the Area | Answer Key - A quick review of area and the shapes that relate to it.
- Find the Circumference | Answer Key - Using the measurement provided, find the circumference of each circle.
- Find the Radius | Answer Key - This is circle algebra at its finest. After this students have mastered area and circumference.
- Find the Volume of the Mixed Shapes | Answer Key - You might want to have the equations for volume available while doing this sheet.
- Finding the Area and Perimeter of a Triangle | Answer Key - We focus on triangles. Make sure to pay attention to the units used. This comes up often.
- Perimeter of Figures | Answer Key - Make sure to remember your units.
- Sentence Based Volume Problems | Answer Key - Word based problems. A challenging activity for youngsters. If they can do it without any references being provided, they're golden.
- Surface Area and Volume | Answer Key - This is a very interesting sheet. You will be asked to either provide the surface area or volume. It's pot luck.
- Unique Area and Perimeter Worksheet | Answer Key - Students determine the area and perimeter of many different unique shapes. For fun, you can also ask students to name the shapes that they see.

### Working With Angles, Geometric Figures, and Lines

- Coordinate Rotations | Answer Key - Draw a transformation on a grid based on the instructions given./li>
- 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.
- Identify Congruent Shapes Worksheet 1 | Worksheet 2 | Worksheet 3 - The basic version of understanding what makes a shape congruent.
- Lines: Parallel, Perpendicular, or Intersecting | Answer Key - We review the concept of parallel, perpendicular and intersecting line pairs.
- Name The Angle Pairs | Answer Key - We look at angles and classify them as either adjacent, complementary, supplementary, or vertical.
- Polygon or Not Worksheet | Answer Key - This one is a little more detailed than you think. If you see a polygon, name it and than state if it is regular or irregular.
- Translate Figures | Answer Key - Following the directions to properly translate each figure, in this case triangles.
- Intersecting Lines 1 |Version 2 | Version 3 - A super quick review of line intersection. Where do they meet?

### Working With Coordinates

- Drawing Ordered Pairs | Answer Key - Students plot six points on a coordinate graph. Make sure to check our graphing section for more practice.
- Find the Coordinates and Graph | Answer Key - Plot points by plugging x into an equation. This is a leader for more advanced skills.
- Find the Equation and Make a Function Table | Answer Key - Given a graphed line, determine the function. This is a little more advanced.
- Identify The Quadrant of Points | Answer Key - We take a look at the quadrants and determine where a point falls within that system.
- Write the Coordinates For Each Point | Answer Key - What are the coordinates of the points on the coordinate graph?

### 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.

**All about Triangles**

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°

**Quadrilaterals**

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.