Basic Geometry Definitions Worksheets
This form of math has so many different applications in everyday life that it is a bit overwhelming. When you are first starting to get your feet wet with geometry the most important aspect is to make sure that you have a strong grasp on the language that is used. I find that students that a firm grasp of all the vocabulary words and geometric phrases have a greater level of success. Often when I discover that students are having difficulty with this subject matter, this is the first place I find that they are getting tripped up. Start by mastering this section everything else will come much quicker. This collection of lessons and worksheets will help you understand the foundational geometric terms and phrases.
Aligned Standard: High School Geometry Congruence - HSG-CO.A.1
- A Circle And Lines Step-by-step Lesson-A circle encases parallel and perpendicular lines. Wow, what possibilities!
- Guided Lesson - Naming angles, intersecting lines, right angles, and the difference between parallel and perpendicular.
- Guided Lesson Explanation - This is explained in a more round about away than other sections are worded.
- Practice Worksheet - I was able to parlay ten questions from two geometric drawings. We focus on the same skills you will find in the standards.
- Matching Worksheet - Note to self, I forget to add the distance along lines and circles that the standard asks for. Include that in five packs.
- Answer Keys - These are for all the unlocked materials above.
It's all about calling out lines. Perpendicular versus parallel lines, intersecting lines and naming angles.
- Homework 1 - Perpendicular lines meet at right angles (90°). Parallel lines are two lines on the same plane that never meet; they are the same distance apart at all points.
- Homework 2 - One or more lines that meet at a point are known as intersecting lines.
- Homework 3 - Name the lines that intersect four other lines.
We give you a basic geometric layout and ask you to apply your geometry vocabulary.
- Practice 1 - Name two right triangles.
- Practice 2 - Which line segment would be equal to the diameter of the circle?
- Practice 3 - Angles are named using the points of the angle with the vertex in between.
Math Skill Quizzes
These focus a bit more on naming angles than naming lines.
- Quiz 1 - Identify parallel lines in the diagram.
- Quiz 2 - Which line segment would be equal to the radius of circle B?
- Quiz 3 - Are there any lines that intersect other lines?
Common Terms Used in Geometry
As we begin to study geometry, we need to understand the language and common vocabulary words that part of this world. You will find that as you begin to truly understand the vocabulary you will have a much greater understanding of what is being asked of you in a problem. Below, we have discussed a few common geometrical terms that you need to know:
Points - You may assume point as a simple dot on a piece of paper. In geometry, we define this dot as a point in space or flat surface determining an exact location. It has zero dimensions and is identified with an alphabet or a number.
Lines - Lines are used to connecting two points on a piece of paper. The line has one-dimension i.e., a line has one length and no width and height. Lines are perfectly straight and extend in both directions. Like points, we assign alphabets to the line too. To label a line, we select any two points on a line. A set of points that is present on the same line is known as collinear. Pair of lines that intersect at one point is known as intersecting lines. Pair of lines that extends forever without intersecting each other is known as parallel lines. Pair of lines that intersect each other to form a 90 degrees angle is known as perpendicular lines.
Line Segment - Line segments are a part of infinitely extending lines. Line segments connect two endpoints. The two endpoints of the line segment are labeled with alphabets or numbers.
Rays - Ray are lines extending in one direction. Rays have one endpoint, and they extend infinitely in one direction.
Planes - Planes have two dimensions. A plane has a width and length but no height. Planes are flat surfaces extending infinitely on all sides. Every two-dimensional figure is known as a plane figure. The set of lines and points lying on the same plane are termed as coplanar.
Space - Space is the set of the points having three dimensions; height, width, and length. An infinite number of planes form space. Geometrical shapes/figures in space are known as solids.
Angles - Angles are a pair of rays that share a common end point (vertex). An angle is usually named by using the symbol (∠) and listing the names of the rays with the vertex listed in the middle of it. The space between the two rays is measured in degrees. There are four classic angle types that you will run into, and their names are entirely based on the distance between those rays measured in degrees. Acute angles have a measure less than 90 degrees. Right angles measure 90 degrees. Obtuse angles measure between 90 and 180 degrees. Straight angles measure exactly 180 degrees. Reflex angles are greater than 180 degrees, but less than 360 degrees.