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Pythagorean Theorem

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Last updated about 3 hours ago
15 questions
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Question 1
1.

Question 2
2.

A triangle is shown, with Squares 1, 2, and 3 drawn on its sides.


Which measurements in units for the sides of the squares show the triangle is a right triangle?

Question 3
3.

The diagram shows the distance between Odina's house and the library in miles. It also shows the distance between the library and the school.


Which measurement is closest to x, the distance in miles from Odina's house to the school?

Question 4
4.

Use 3 or more complete sentences and academic vocabulary (right triangle, leg, hypotenuse, squared, square root) to explain the steps you took to solve question #3.

Question 5
5.

The length of a rectangular frame is 15 inches, and the width of the frame is 8 inches. What is the length of a diagonal of this frame in inches?

Enter your answer in the space provided below.

Question 6
6.

Natasha walked from the library to the grocery store and then to her house. The diagram shows the top view of the locations of these three places and their distances from each other.


Which measurement is closest to the shortest distance in miles from Natasha's house to the library?

Question 7
7.

The coordinates of the endpoints of QR are Q (8, 2) and R (5, 7).


Which measurement is closest to the length of QR in units?

Question 8
8.

Use 3 or more complete sentences and academic vocabulary (right triangle, leg, hypotenuse, squared, square root) to explain the steps you took to solve question #7.

Question 9
9.

The dimensions of a rectangular piece of paper are 8.5 inches and 11 inches. Veronica folded the piece of paper along its diagonal. Which measurement is closest to the length of the diagonal in inches?

Question 10
10.

The coordinates of the vertices of the triangle shown are P (2, 13), Q (7, 1), and R (2, 1).


What is the distance between points P and Q?

Question 11
11.

Debate time: Use complete sentences and academic vocabulary to make your case. Just like in court a great lawyer makes their case by justifying, elaborating in detail and providing evidence!

Is Pythagorean Theorem about triangles or squares?

Question 12
12.

Determine which measurements could represent the side lengths in feet of a right triangle.

Yes- It is a right triangle!
Question 13
13.

The diagram shows a right triangle and the lengths of two of its sides in inches.


Which measurement is closest to the value of d in inches?

Question 14
14.

The coordinates of the vertices of a rectangle are A (5, 3), B (5, -9), C (-1, 9), and D (-1, 3).


Which measurement is closest to the distance between point B and point D in units?

Question 15
15.
An artists joined three square regions at their vertices to create the figure shown in the diagram.

The artist will use small congruent square tiles to cover each region without any gaps or overlaps.

Complete the statement to make it true.

The number of tiles needed to cover __________ is the same as the number tiles needed to cover both __________.
Which set of side length measurements in meters does NOT make a right triangle?

Select TWO correct answers.
9m, 11m, 13m
18m, 24m, 30m
20m, 21m, 29m
7m, 24m, 25m
x = 9, y = 5, z = 7
x = 7, y = 3, z = 4
x = 4, y = 2, z = 3
12 mi
6.9 mi
8.9 mi
1.9 mi
1.4 mi
2.3 mi
5.8 units
3.9 units
4 units
13.9 in.
169 units
13 units
10.9 units
No- It is NOT a right triangle!
10 ft, 24 ft, 26 ft
14 ft, 14 ft, 14 ft
3 ft, 3 ft, 18 ft
8 ft, 6 ft, 10 ft
4.0 in
19.8 in
6.3 in