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Proving the Pythagorean Theorem with Similar Triangles

Proving the Pythagorean Theorem with Similar Triangles

Assessment

Interactive Video

Mathematics

9th - 12th Grade

Practice Problem

Hard

CCSS
HSG.CO.C.9, 8.G.B.8, HSG.SRT.B.5

+3

Standards-aligned

Created by

Lucas Foster

FREE Resource

Standards-aligned

CCSS.HSG.CO.C.9
,
CCSS.8.G.B.8
,
CCSS.HSG.SRT.B.5
CCSS.HSG.SRT.A.2
,
CCSS.3.MD.A.1
,
CCSS.7.EE.A.1
,

10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What theorem is being proven using similar triangles in the video?

Euclid's theorem

Thales' theorem

Fermat's Last Theorem

Pythagorean theorem

Tags

CCSS.HSG.CO.C.9

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the name of the point constructed perpendicular to the hypotenuse?

Point H

Point D

Point Y

Point X

Tags

CCSS.HSG.CO.C.9

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the length from point A to point D referred to in the proof?

Length C

Length X

Length Y

Length H

Tags

CCSS.8.G.B.8

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What postulate is used to establish the similarity of triangles in the proof?

Side-Side-Side similarity

Angle-Angle similarity

Side-Angle-Side similarity

Angle-Side-Angle similarity

Tags

CCSS.HSG.SRT.B.5

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which triangles are identified as similar due to the angle-angle similarity postulate?

Triangle ABC and triangle DBC

Triangle ABC and triangle BCD

Triangle ABC and triangle ADB

Triangle ABC and triangle ABD

Tags

CCSS.HSG.SRT.A.2

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which of the following is a correct proportion set up during the proof?

B over C equals C over Y

A over B equals B over Y

C over A equals A over X

C over B equals B over Y

Tags

CCSS.HSG.CO.C.9

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What algebraic method is used to combine the equations in the proof?

Multiplication of equations

Division of equations

Addition of equations

Subtraction of equations

Tags

CCSS.3.MD.A.1

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