# Ch 33: SHSAT Math: Triangles

### About This Chapter

## SHSAT Math: Triangles - Chapter Summary

Take a closer look at triangles to simplify the process of preparing for math questions on the SHSAT. Use the video lessons in this chapter to make sure you can answer questions on the exam that address the following:

- Defining and identifying the properties of a triangle
- Understanding how to classify triangles by angles and sides
- Analyzing interior and exterior angles of triangles
- Identifying similar triangles and constructing the median of a triangle
- Examining median, altitude and angle bisectors of a triangle
- Reviewing types of geometric construction
- Describing properties of concurrent lines in a triangle

Expert instructors present the video lessons in a high-quality visual format that makes learning fun. Full lesson transcripts are also available to ensure you fully comprehend all aspects of triangles as you prepare to take the exam.

### Objectives of the SHSAT Math: Triangles Chapter

A major goal of the SHSAT Math: Triangles chapter is to provide you with the resources you need to prepare for the exam. Watching the videos helps you better understand triangles so you're ready to answer related questions on the test. You can also use the self-assessment quizzes in this chapter as practice tests to ensure you're ready for the multiple-choice format you'll see on exam day. If you need help with specific topics within the lessons, you can submit your questions to available tutors and coaches.

The SHSAT is an admission requirement for students in the 8th and 9th grades who want to attend New York City specialized high schools. It is composed of two sections: mathematics and verbal. The math section consist of 50 computation questions and word problems that explore arithmetic, geometry, algebra, statistics, trigonometry (for 9th graders only) and probability. The total test is 150 minutes in length with students getting 75 minutes to complete the math section. The maximum composite score a student can earn is 800.

### 1. Triangles: Definition and Properties

What makes a shape a triangle? In this lesson, we'll explore the definition of a triangle, then analyze the parts of triangles, including the vertices, base and height.

### 2. Classifying Triangles by Angles and Sides

Not all triangles are the same. There are equilateral, isosceles and scalene triangles. Then there are right, acute and obtuse triangles. In this lesson, we'll learn how to classify triangles using their sides and angles.

### 3. Interior and Exterior Angles of Triangles: Definition & Examples

Knowing just a few things about the interior or exterior angles of triangles is sometimes all you need to put all the pieces together. Find out more in this lesson.

### 4. How to Identify Similar Triangles

Similar triangles have the same characteristics as similar figures but can be identified much more easily. Learn the shortcuts for identifying similar triangles here and test your ability with a quiz.

### 5. Angles and Triangles: Practice Problems

Want more practice solving with angle pairs? How about more review for solving angles in triangles? Look no further. Get more practice here, and test your ability with a quiz.

### 6. Constructing the Median of a Triangle

If you have one triangle and want to divide it, you can use a median line. Medians have special geometric properties that we'll learn about in this lesson.

### 7. Median, Altitude, and Angle Bisectors of a Triangle

Line segments in triangles are just clutter; they have special names and qualities depending on how they're drawn. In this lesson, we'll learn about medians, altitudes and angle bisectors.

### 8. Constructing Triangles: Types of Geometric Construction

When you're asked to construct a triangle, it's time to break out that compass and straight edge! In this lesson, find out how to construct triangles no matter what you're given.

### 9. Properties of Concurrent Lines in a Triangle

Centroids, orthocenters, incenters, circumcenters, oh my! Don't worry though. In this lesson, we master the various terms for concurrent lines in triangles and match them to altitudes, angle bisectors, perpendicular bisectors and medians.

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### Other Chapters

Other chapters within the SHSAT: Practice & Study Guide course

- Reading Comprehension Approaches
- Writing & Editing Written Work
- Practice Analyzing & Interpreting Texts
- SHSAT Math: Basic Arithmetic Operations
- SHSAT Math: Divisibility
- SHSAT Math: Number Properties
- SHSAT Math: Number Theory
- SHSAT Math: Factoring
- SHSAT Math: Estimation & Rounding
- SHSAT Math: Whole Numbers
- SHSAT Math: Simplifying Expressions
- SHSAT Math: Negative Numbers
- SHSAT Math: Absolute Value
- SHSAT Math: Integers
- SHSAT Math: Rational Numbers
- SHSAT Math: Inequalities
- SHSAT Math: Operations with Decimals
- SHSAT Math: Introduction to Fractions
- SHSAT Math: Operations with Fractions
- SHSAT Math: Percents
- SHSAT Math: Exponents & Exponential Expressions
- SHSAT Math: Roots & Radical Expressions
- SHSAT Math: Basic Algebraic Expressions
- SHSAT Math: Algebraic Distribution
- SHSAT Math: Simplifying & Solving Rational Expressions
- SHSAT Math: The Coordinate Graph
- SHSAT Math: Linear Equations
- SHSAT Math: Systems of Linear Equations
- SHSAT Math: Properties of Functions
- SHSAT Math: Graphing Functions
- SHSAT Math: Solving Word Problems
- SHSAT Math: Introduction to Geometric Figures
- SHSAT Math: Quadrilaterals
- SHSAT Math: Circles
- SHSAT Math: Circular Arcs & Measurement
- SHSAT Math: Polyhedrons & Geometric Solids
- SHSAT Math: Symmetry, Similarity & Congruence
- SHSAT Math: Triangle Theorems & Proofs
- SHSAT Math: Similar Polygons
- SHSAT Math: The Pythagorean Theorem
- SHSAT Math: Units of Measurement
- SHSAT Math: Perimeter & Area
- SHSAT Math: Data & Graphs
- SHSAT Math: Probability
- SHSAT Math: Statistics
- SHSAT Math: Rates, Ratios & Proportions
- SHSAT Math: Consumer Math
- SHSAT Math: Number Sequences
- SHSAT Math: Sets & Subsets
- SHSAT Flashcards