About This Chapter
HESI Admission Assessment Exam: Geometry Basics - Chapter Summary
In this chapter on geometry basics, you'll find a series of professionally written lessons to help you understand these subjects as you get ready for the HESI Admission Assessment exam. Subjects covered here include different types of angles, including acute, obtuse, right and straight, plus the area and perimeter of geometric shapes. Once you finish this chapter, you should be ready to:
- Differentiate between the different types of angles
- Define the triangle sum theorem
- Discuss the properties and formula of similar triangles
- Explain how to find the perimeter and area of triangles and rectangles
- Calculate circle area and circumference
- Understand how to find the diameter of a circle, including the formula
- Identify the formula used to find the radius of a circle
- Detail radians and degrees on the unit circle
Work at your own pace as you review as few or as many lessons as needed to feel prepared for the exam. Each lesson is accompanied by a short quiz so you can test your knowledge before moving on. Use any smartphone, tablet or computer to study anytime that works best for you.
1. Types of Angles: Right, Straight, Acute & Obtuse
Angles are everywhere. Learn about the different types of angles we use in mathematics, including right angles, acute angles, obtuse angles, and straight angles. See if you can tell the difference with a quiz.
2. Triangle Sum Theorem: Definition & Examples
In this lesson, we will learn about the Triangle Sum Theorem. We will also look at how useful the Triangle Sum Theorem is when looking for missing angle measurements inside of a triangle.
3. Similar Triangles: Definition, Formula & Properties
Similar triangles are two or more triangles with equal corresponding angles and proportionate corresponding sides. Explore the definition, formula, and properties of similar triangles and discover important vocabulary and notations, and how to solve for corresponding sides.
4. Perimeter of Triangles and Rectangles
Perimeter is defined as the combined distance around a shape, object, or figure, while the perimeter of any polygon can be determined by adding the length of all sides. Learn about perimeter, how to use mathematical formulas to calculate the perimeter of triangles and rectangles, and how to use perimeter to determine the length of unknown polygon sides.
5. Area of Triangles and Rectangles
The area of a two-dimensional shape represents the space covered within its perimeter, but area calculations change depending on the shape. Learn how to calculate and solve the areas of right triangles, oblique triangles, and rectangles.
6. Circles: Area and Circumference
Like all geometric shapes, circles take up space and a formula is required to calculate the area. Learn about the area and circumference of circles, explore the formula to calculate a circle's area, and review examples that use the diameter and others that use the circumference to find the area of a circle.
7. How to Find the Diameter of a Circle: Definition, Formula & Example
To find the diameter of a circle, multiply the circle's radius by two. Learn the definition of a diameter and a radius and review a detailed explanation of the formula used to find the diameter of a circle with examples.
8. How to Find the Radius of a Circle: Definition & Formula
In a circle, the radius is the distance in a straight line from the center of the circle to its circumference. Further explore the definition and learn the formula on how to find the radius of a circle with the included examples.
9. Radians & Degrees on the Unit Circle
Angles are important in all kinds of fields, such as construction, science, math, navigation, and engineering. There are two units that we can use to measure angles: degrees and radians. In this lesson, learn how to use these units and how they are related to the unit circle.
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