Online lesson-Pythagoras and similar shape (part 1)

Pythagoras’ theorem

and similar shapes

February 16, 2024

11.1 Pythagoras’ theorem
11.2 Understand similar shapes

also “Pythagorean theorem”

Learning objective

Which of these are prior knowledge?

REVIEW

The proof (1)

Multiple Choice

What is the length of x?

• 5
• 7
• 8
• 25

Multiple Choice

What is the length of x?

• 5.7
• 10.6
• 20
• 400

Multiple Choice

solve for c

• 17

• 16

• $$\sqrt[]{119}$$

• 13

Multiple Choice

Find the length of b in this triangle.

• 31
• 36
• 60
• 62

Multiple Choice

Find x.

• 35
• 20
• 8
• 12

Multiple Select

Two similar shapes have which of the following proterties? (choose all that apply)

• Same shape

• Same angle

• Same length

• Same area

Multiple Choice

Are the following similar? Why or why not?

• Yes
• No, the corresponding angles are not equal.
• No, the ratios of the corresponding sides are not equal.

Multiple Choice

Tell whether the two figures are similar. Explain your reasoning.

• Yes, similar because they are the same shape and side lengths are proportional.
• No, not similar because they are the same shape, but side lengths are not proportional.
• Yes, same shape
• No, different sizes

Multiple Choice

• A
• B
• C
• D

Multiple Choice

Find the length of x

• x = 1
• x = 2
• x = 7
• x = 1/7

Multiple Choice

Solve for X.

• 2 ft
• 3 ft
• 4 ft
• 6 ft

Multiple Choice

Triangle ABC and XYZ are similar.  Use your knowledge of scale factor to find the length of X.

• 20
• 25
• 100
• 40

Multiple Choice

Triangle ABC and XYZ are similar, ABC is the copy and XYZ is the original shape.  What is the scale factor from XYZ to ABC?

• 2
• ½
• ⅖
• 5/2

Multiple Choice

Find x.

• 9
• 6
• 8
• 7

Multiple Choice

Find missing side

• 5
• 7
• 9
• 11

Multiple Choice

Solve for X.

• 36
• 27
• 45
• 56

Multiple Choice

The pair of figures is similar. Find the missing side.

• x = 20
• x = 12
• x = 5
• x = 4

Multiple Choice

What is the scale factor of these similar shapes?

• 10
• 7
• 9
• 11

Multiple Choice

Find the length of the missing side.

• 7
• 4
• 6
• 8

Multiple Choice

The pair of figures is similar. Find the missing side.

• x = 1
• x = 3
• x = 9
• x = 5

Multiple Choice

What are the missing sides of the triangle?

• 11 and 12
• 13 and 11
• 11 and 14
• 13 and 12

Multiple Choice

Are these figures similar?

• yes
• no
• i don't know
• not enough information

Multiple Choice

The pair of figures is similar. Find the missing side.

• x = 9
• x = 28
• x = 7
• x = 63

Poll

How well do you understand this lesson?

• I barely understand anything

• I understand the concept but cannot solve the questions

• I understand the concept and can solve simple questions

• I understand the concept and can solve all these questions easily

• I would like more difficult questions for practice