About This Chapter
PECT PAPA: Geometric Concepts - Chapter Summary
Make studying for the PECT PAPA exam easier by reviewing the lessons in this chapter. Strengthen your knowledge of geometric concepts to ensure you're prepared for questions on the test that address:
- Understanding parallel, perpendicular and transverse lines
- Identifying properties of shapes like rectangles, triangles, squares and rhombuses
- Defining the polygon and identifying the line of symmetry
- Examining congruence proofs
- Sharing an understanding of transformations in math
- Defining similar polygons, ratios, proportions and the coordinate plane
The lessons give you an opportunity to gain insight from expert instructors while learning from the comfort of your home - or via your mobile device. You can also reach out to expert tutors and coaches with any questions you have about the topics in this chapter.
Objectives of PECT PAPA: Geometric Concepts Complexity Chapter
The PECT stands for Pennsylvania Educator Certification Tests program, while PAPA stands for the Pre-service Academic Performance Assessment. The PAPA is designed to test your comprehension of the reading, math and writing modules as an undergraduate candidate seeking initial certification in the state.
To improve your chances of earning a high score on the test, take time to review the lessons in this geometric concepts chapter. Topics covered in the lessons are found in the math module of the exam, which consists of 36 selected-response questions, is taken on computer and is 75 minutes in length. You can use the short quizzes with the lessons to test your understanding of geometric concepts. For a more complete assessment of your comprehension of the lessons, take advantage of the practice chapter exam.
1. Parallel, Perpendicular and Transverse Lines
What are the different types of lines? Where are they visible in the real world and how can you recognize them? Find out here and test your knowledge with a quiz.
2. Properties of Shapes: Rectangles, Squares and Rhombuses
What's the difference between a square and a rectangle? What about a rhombus and a square? In this lesson, we'll look at the properties of these shapes.
3. Properties of Shapes: Triangles
Isosceles, equilateral and obtuse, oh my! These are terms for triangles. But, what do they mean? In this lesson, we'll explore the properties of triangles and take a closer look at the different types of triangles you may encounter.
4. What is a Polygon? - Definition, Shapes & Angles
Polygons are everywhere! In this lesson, you will learn what they are and what they look like. You will also learn about a special class of polygons and how to find its angles.
5. Identifying the Line of Symmetry: Definition & Examples
Symmetry can occur in many different ways in mathematics. In this lesson, learn how to identify unique forms of symmetry by finding the line of symmetry.
6. Congruence Proofs: Corresponding Parts of Congruent Triangles
Congruent triangles have congruent sides and angles, and the sides and angles of one triangle correspond to their twins in the other. In this lesson, we'll try practice with some geometric proofs based around this theorem.
7. Transformations in Math: Definition & Graph
In geometry, transformation refers to the movement of objects in the coordinate plane. This lesson will define and give examples of each of the four common transformations and end with a quiz to make sure you are moving in the right direction.
8. Similar Polygons: Definition and Examples
Watch this video to learn what makes two polygons similar to each other. You'll also learn the one distinguishing aspect of similar polygons and see an example of how to compare two polygons.
9. Ratios and Proportions: Definition and Examples
Watch this video lesson to learn how ratios and proportions are related. Also, learn how ratios and proportions are used in real life and how you can apply them to yours.
10. What is a Coordinate Plane? - Definition, Quadrants & Example
In this lesson, you'll learn what a coordinate plane is and some coordinate plane terminology. You'll also see a few examples of coordinate planes in action. Then, you can test your new knowledge with a brief quiz.
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Other chapters within the PECT PAPA: Practice & Study Guide course
- PECT PAPA: Meaning of Words & Phrases in Text
- PECT PAPA: Purpose, Main Idea & Organization of Texts
- PECT PAPA: Analyzing & Interpreting Texts
- PECT PAPA: Drawing Inferences from Texts
- PECT PAPA: Numbers & the Number System
- PECT PAPA: Whole Numbers
- PECT PAPA: Positive & Negative Numbers
- PECT PAPA: Integers
- PECT PAPA: Rational & Irrational Numbers
- PECT PAPA: Decimals
- PECT PAPA: Percents
- PECT PAPA: Fractions
- PECT PAPA: Exponents
- PECT PAPA: Linear & Nonlinear Functions
- PECT PAPA: Inequalities
- PECT PAPA: Basic Measurement
- PECT PAPA: Measuring Geometric Figures
- PECT PAPA: Data & Statistics
- PECT PAPA: Probability
- PECT PAPA: Problem Solving & Reasoning in Math
- PECT PAPA: Writing Structure
- PECT PAPA: Syntax, Grammar & Sentence Structure
- PECT PAPA: Spelling, Capitalization & Punctuation
- PECT PAPA: Writing Strategy
- PECT PAPA: Revising Your Writing
- PECT PAPA Flashcards