Similar Triangles and Proportions

Similar Triangles and Proportions

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Hard

Created by

Thomas White

FREE Resource

The video tutorial introduces similar right triangles, explaining how they are formed by dropping an altitude from the right angle to the hypotenuse, resulting in three similar triangles. It discusses how to identify these triangles and use proportions to find missing side lengths. The tutorial demonstrates solving proportions using the cross product method and concludes with a mention of alternative methods for finding missing sides without using proportions.

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9 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is formed when an altitude is dropped from the right angle to the hypotenuse in a right triangle?

Four similar triangles

Three similar triangles

Two similar triangles

Five similar triangles

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which of the following is NOT a characteristic of the triangles formed by dropping an altitude in a right triangle?

They are all similar

They have the same orientation

They have different angles

Their sides are proportional

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in finding a missing side length in similar right triangles?

Calculate the area of the triangles

Find the perimeter of the triangles

Match up corresponding sides

Identify the right angles

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the example given, which two triangles are used to set up the proportion?

Medium and large triangles

Small and large triangles

Small and medium triangles

All three triangles

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What method is used to solve the proportion in the example?

Graphical method

Substitution method

Elimination method

Cross product method

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the simplified form of the square root of 150?

10√6

10√3

5√6

5√3

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why is the negative root rejected in the solution?

Negative roots are not real numbers

Negative roots are not allowed in geometry

Negative roots are too complex to calculate

Negative side lengths are not possible

8.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the main challenge when using proportions to find missing sides in similar triangles?

Identifying the right angles

Matching up short and long sides

Calculating the hypotenuse

Finding the area of the triangles

9.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What alternative method is mentioned for solving similar triangle problems?

Using a method that does not involve proportions

Using algebraic equations

Using graphical representations

Using trigonometric identities