Looking for Pythagoras

Essentials of Algebra

Round 1 Round 2

homehome Round 1 Round 1 Round 2Round 2 Numbers Numbers

& & OperationOperation

ss

CoordinatCoordinate Gride Grid

Squares: Squares: Area/LengtArea/Lengt

hh

PythagorePythagorean an

TheoremTheorem

Special Special Right Right

TrianglesTriangles

100100 100100 100100 100100 100100

200200 200200 200200 200200 200200

300300 300300 300300 300300 300300

400400 400400 400400 400400 400400

500500 500500 500500 500500 500500

Numbers & Operations 100

√36

Find the value.

back

Numbers & Operations 200

1.4305. . .

Determine whether the number is rational or irrational.

back

Numbers & Operations 300

√45

Simplify the radical.

back

Numbers & Operations 400

√225 = 16

Determine whether the statement is true or false. If false, make it true.

back

Numbers & Operations 500

√3, 1.5, √27, 4.9, 0.8

Put the set of numbers in order from least to greatest.

back

Coordinate Grid 100

The coordinates of the location of the art museum.

back

Coordinate Grid 200

(-2, 3)

back

Coordinate Grid 400

Coordinate pair that creates a right triangle between the hospital and city hall.

back

Coordinate Grid 300

Driving directions from the police station to the animal shelter.

back

Coordinate Grid 500

Given coordinates (0,0) and (4,1), name two other vertices to make a square.

back

Squares: Area/Length 100

Find the area of the figure.

back

DAILY DOUBLEDAILY DOUBLESquares: Area/Length 200Squares: Area/Length 200

Find the area and side length of the square.Find the area and side length of the square.backback

Squares: Area/Length 300

Find the length of the pink line.

back

Squares: Area/Length 400

The length of AB is:

A. √8 B. 2√2

C. A and B D. neither A nor B

back

Squares: Area/Length 500

The line segment with a length of √17 units.back

Pythagorean Theorem 100

Find c if a = 4 and b = 6.(Round answer to the nearest hundredths place.)

back

Pythagorean Theorem 200

Find a if b = 4 and c = 21.(Round answer to the nearest hundredths place.)

back

Pythagorean Theorem 300

The Pythagorean Theorem states:A. The length of leg a + the length of leg b = the

hypotenuse.

B. The area of leg a + the area of leg b = the area of the square on the hypotenuse.

C. The area of the square on leg a + the area of the square on leg b = the area of the square on the hypotenuse.

back

Pythagorean Theorem 400

12, 9, 16

Determine whether a triangle with the given side lengths is a right triangle.

back

Pythagorean Theorem 500

A painting is 9 inches wide and 12 inches long. Find the length of a

diagonal of the painting.

back

9 in.

12 in.

Special Right Triangles 100 30-60-90

Find the lengths of segments PB and AP.

back

C P B

A

44

Special Right Triangles 200 30-60-90

Find the missing side lengths.back

7 B

A

P

Special Right Triangles 300 30-60-90

Find the missing side lengths.

back

10

A

P B

Special Right Triangles 400 45-45-90

Find the length of the hypotenuse.

back

2

2

Special Right Triangles 500 45-45-90

Find the lengths of the legs.

back

9√2

A

C B

homehome Round 2 Round 2 Round 1Round 1

Numbers Numbers & &

OperationOperationss

CoordinatCoordinate Gride Grid

Squares: Squares: Area/LengtArea/Lengt

hh

PythagoreaPythagorean Theoremn Theorem

Special Special Right Right

TrianglesTriangles

200200 200200 200200 200200 200200

400400 400400 400400 400400 400400

600600 600600 600600 600600 600600

800800 800800 800800 800800 800800

10001000 10001000 10001000 10001000 10001000

Numbers & Operations 200

√121

Find the value.

back

Numbers & Operations 400

3π

Determine whether the number is rational or irrational.

back

Numbers & Operations 600

The set of numbers that includes

{. . . -2.75, √64, 1/3, 0, 4, .9 . . .}.

back

DAILY DOUBLEDAILY DOUBLENumbers & Operations 800Numbers & Operations 800

A. A. √63√63 B. √54B. √54

C. C. √72√72 D. √75D. √75

Determine which number simplifies to 6Determine which number simplifies to 6√2.√2.

backback

Numbers & Operations 1000

7, √15, 4.2, 5√2, 3.1, √34

Put the set of numbers in order from least to greatest.

back

Coordinate Grid 200

(6, -2)

back

Coordinate Grid 400

The directions between these two landmarks are: go up 3 and to the right 4.

back

Coordinate Grid 600

Give two locations that have the same y-value.

back

Coordinate Grid 800

Coordinate pair that creates a right triangle between the art museum and the cemetery.

back

Coordinate Grid 1000

Find the flying distance between city hall and the stadium.

(Round answer to the nearest hundredths place.)back

Squares: Area/Length 200

Find the area of the figure.

back

Squares: Area/Length 400

Find the area and side length of the square.back

Squares: Area/Length 600

Find the length of the yellow line.

back

Squares: Area/Length 800

The length of XY is:A. 2√3 B. √18 C. A and B D. neither A nor B

back

Squares: Area/Length 1000

Find the two points that are √34 units apart.back

Pythagorean Theorem 200

Find c if a = 9 and b = 11.(Round answer to the nearest hundredths place.)

back

Pythagorean Theorem 400

Find b if a = 7 and c = 25.(Round answer to the nearest hundredths place.)

back

Pythagorean Theorem 600

5, 7, √74

Determine whether a triangle with the given side lengths is a right triangle.

back

Pythagorean Theorem 800

Mickey has a stained glass mural that he wants to frame. It is shaped like a right triangle with the hypotenuse forming the base of the artwork.

If both legs are 2 feet long, what is the perimeter of the art work?

back

Pythagorean Theorem 1000

Given the drawing above, find the radius of the circle.

back

(3, 4)

Special Right Triangles 20030-60-90

Find the missing side lengths.back

6√3

A

BP

Special Right Triangles 40030-60-90

Find the lengths of segments PB and AP.back

C P B

A

6 6

Special Right Triangles 600 30-60-90

Find the missing side lengths.

back

7

A

BP

Special Right Triangles 800 45-45-90

Find the missing side lengths.back

A

BC

8

Special Right Triangles 1000 45-45-90

Cassandra walked 3 miles west and 3 miles south. Find her distance from the starting point.

(Round answer to 2 decimal places.)

back

3 mi

3 mi