Pythagorean Rectangles

Pythagorean Rectangles

10th Grade

15 Qs

quiz-placeholder

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Pythagorean Rectangles

Pythagorean Rectangles

Assessment

Quiz

Mathematics

10th Grade

Practice Problem

Hard

CCSS
8.G.B.8, 8.G.B.7, HSG.CO.C.9

+2

Standards-aligned

Created by

Anthony Clark

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15 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

ABCD is a rectangle. AB = 14, BC = 9, AC = 22. Find BD.

11

14

9

22

Tags

CCSS.8.G.B.8

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

Use the Pythagorean Theorem to find the missing side.

9

41

6.4

3

Tags

CCSS.8.G.B.8

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

Use the Pythagorean Theorem to find the missing side.

48

108

83.6

72

Tags

CCSS.8.G.B.7

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

How do we prove a triangle is a right triangle?

Prove all sides are different lenghts

Show that the three sides satisfy the pythagorean theorem

Show that opposite angles are congruent

Show that two sides are congruent

Tags

CCSS.8.G.B.8

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

Find the missing length indicated. Leave your answer in simplest radical form.

64

12

9

100

Tags

CCSS.HSG.CO.C.9

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

The triangular sail of a toy sailboat is supposed to be a right angle.  The manufacturer says the sides of the sail have lengths of 4.5 inches, 6 inches, and 7 inches.  Is the sail a right triangle? 

No

Yes

Tags

CCSS.8.G.B.8

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Alan made a small four-sided table for his office.  The opposite sides of the table are 27 inches long and 36 inches long.  If the diagonal of the table measures 40 inches, does the table have right angles at the corners?  Why or why not?

Yes, because it's a rectangle and rectangles have 90 degree angles in the corners

Yes, because 27 and 36 are less than 40

No, because 272+362 does not equal 402

No, because 27+36 does not equal 40

Tags

CCSS.8.G.B.8

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