WEEK 1

DONE Unit 2: Verb Agreement

1 Topic | 3 Quizzes
DONE Unit 3: Punctuation

3 Topics | 3 Quizzes
DONE Unit 4: Apostrophes

3 Quizzes
DONE Unit 6: Using Desmos

3 Quizzes
DONE Unit 7: Ratios, Rates, and Conversions

1 Topic | 3 Quizzes
DONE Unit 8: Slope Intercept

3 Quizzes
DONE Unit 10: Line Graphs and Bar Graphs

3 Quizzes
DONE Unit 11: Scatterplots

3 Quizzes
WEEK 2

DONE Unit 12: Words in Context

3 Quizzes
DONE Unit 13: Passage Summarization

3 Quizzes
DONE Unit 14: Pronouns

3 Quizzes
DONE Unit 15: Transition Words and Phrases Part 1

1 Topic | 3 Quizzes
DONE Unit 16: Word Choice

3 Quizzes
Unit 17: Linear Word Problems – Type 1: Numbers

2 Topics | 2 Quizzes
Unit 20: Transforming Equations – Advanced

1 Topic | 2 Quizzes
DONE Unit 19: Systems of Linear Equations

1 Topic | 3 Quizzes
DONE Unit 20: Systems of Inequalities

1 Topic | 3 Quizzes
DONE Unit 21: Systems Word Problems

3 Quizzes
WEEK 3

DONE Unit 22: Figures and Tables

3 Quizzes
DONE Unit 23: Author’s Objective

3 Quizzes
DONE Unit 24: Misplaced Modifiers

3 Quizzes
DONE Unit 26: Statistics

1 Topic | 3 Quizzes
DONE Unit 27: Average from a Table

3 Quizzes
DONE Unit 28: Probabilities

3 Quizzes
DONE Unit 29: Percentages

1 Topic | 3 Quizzes
DONE Unit 30: Angle Problems

1 Topic | 3 Quizzes
DONE Unit 31: Circle Basics

1 Topic | 3 Quizzes
DONE Unit 32: Triangles

3 Quizzes
WEEK 4

DONE Unit 33: Accomplish the Goal

1 Topic | 3 Quizzes
DONE Unit 34: Punctuation Part 2

1 Topic | 1 Quiz
DONE Unit 35: Command of Evidence

3 Quizzes
DONE Unit 36: Parabolas and Factoring

2 Topics | 3 Quizzes
DONE Unit 37: Non-Linear Systems

1 Topic | 3 Quizzes
DONE Unit 38: Quadratic and Discriminant

3 Quizzes
DONE Unit 39: Zeros in Quadratics

3 Quizzes
DONE Unit 41: SohCahToa

3 Quizzes
WEEK 5

DONE Unit 42: Inferences

3 Quizzes
DONE Unit 43: Complete the Text

3 Quizzes
DONE Unit 44: Dual Passages

3 Quizzes
DONE Unit 45: Functions

1 Topic | 3 Quizzes
DONE Unit 46: Functions with Coordinate Box

1 Topic | 3 Quizzes
DONE Unit 47: Exponents and Radicals

1 Topic | 3 Quizzes
DONE Unit 48: Constants

1 Topic | 3 Quizzes
DONE Unit 49: Surveys and Studies

3 Quizzes
WEEK 6

DONE Unit 51: Equal Polynomials

3 Quizzes
DONE Unit 53: Area and Volume

3 Quizzes
DONE Unit 54: Absolute Value

3 Quizzes
DONE Unit 55: Box Plots

3 Quizzes
DONE Unit 56: Polynomial Graphs

3 Quizzes
DONE Unit 57: Translations

3 Quizzes
DONE Unit 58: Vertex Form of a Parabola

3 Quizzes
DONE Unit 59: Creative Geometry

3 Quizzes
EXTRA

Logical Comparisons

2 Quizzes
There are three common types of triangle problems on the SAT. They mostly concern:

- Similar triangles

- Special right triangles

- Pythagorean theorem and triplets

**Similar Triangles**

Similar triangles have three notable things about them. They have the same angles, the same ratio of sides, and the same sine, cosine, and tangent.

Note that **congruent** triangles are just a specific type of similar triangle – their angles are the same, and the ratio of the sides is 1:1 (because they are exactly the same triangle).

The SAT tries to trick you by making them hard to recognize as similar triangles. Some examples:

**Note** **that in all these examples, there are two triangles that share the same angles, and thus have the same ratio of sides. **Anytime you see two triangles, or one triangle with any kind of line through it, check to** **see if you have similar triangles!**

**Strategy****:**

**Mark the sides of the similar triangles that correspond to one another.****Create a ratio with a side of the smaller triangle over the corresponding side from the larger triangle.****Create ratios for the other corresponding sides, set the ratios all equal, and cross multiply to solve.**

**Special Right Triangles**

There are two types of special right triangles you’ll see on the SAT. When you see a right triangle (a triangle that contains a 90-degree angle, denoted by the little in the corner), you should always check to see if it’s a right triangle. The two types are:

**1.** **30°-60°-90°**

**2.** **45°-45°-90°**

What makes the first two types of triangles “special” is that if you know the angles and one of the side lengths, you can figure out the other two sides.

Fortunately for us, the SAT gives you the first two in the reference section at the front of each math section! It looks like this:

If you have a 30°-60°-90°, and you are given that the side opposite the 30° angle is 10, then you know the hypotenuse is 20 and the side opposite the 60° angle is\(10\sqrt3\).

**Pythagorean Theorem and Triplets**

Remember that the Pythagorean theorem can **only be used with right triangles, **and it is:

$$a^2+b^2=c^2$$

There are two Pythagorean triplets that can save you time on the SAT. They’re common side lengths that go together in a right triangle.

**1. ** **3-4-5**

**2. 5-12-13**

So given a triangle with side lengths of

We could plug in \(a^2+8^2=10^2\) to then get \(a^2+64=100\) and solve to get *a*

*OR*

We can look and see one side is a multiple of 5 (10), one is a multiple of 4 (8), so the third side MUST be a multiple of 3 (6). This can save you a decent amount of time and prevent calculation errors, so keep an eye out for the 3-4-5 triangles as well.

**Hidden special right triangles**

Always be on the lookout for special right triangles. The SAT loves to include special right triangles to test if a student is looking for them. They’re usually the key to solving the problem.**Similar triangles in unsimilar positions**

Sometimes two triangles will be similar, but one will be positioned on its side, while the other is standing up, or they’ll be facing opposite direction. Take the time to ensure you’ve matched the correct corresponding sides.

Redrawing the triangles yourself can often help with this one.

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