Cartesian Plane
Pythagorean Theorem
Qualifying Question
Circle/Triangles
100

What would the new coordinates be for Point A if it was rotated 180 degrees? 

Point A (4, 5) 

New coordinates (-4, -5) 

100

How do we identify the hypotenuse in a right angled triangle? 

The hypotenuse is opposite the right angle. 

100

Which French Person was the Cartesian Plane named after? 

A. Jacques Crousseau Cartes

B. Renes Descartes 

c. Carter Giroud 

B. Renes Descartes

100

What is the circumference of a circle with a diameter of 10m. 

pi x Diameter = circumference

10 x 3.14 = 31.4 meters

200

What would the new coordinates be for Point A and B if they were rotated 270 degrees. 

Point A (  7, 9   )

Point B (  4 , 7 )

New Coordinates:

Point A (9, -7)

Point B (7, -4) 

200

Solve for C 

a = 6cm

b = 8cm 

c = ? 

c = 10cm 

36cm + 64cm = c^2

100 = c^2 

Square root of 100 is 10

c = 10cm 

200

What is the area of a triangle that is 5cm tall and 7cm wide. 

A = b x h / 2

= 7 x 5 / 2

=35/2

= 17.5 cm2

300

What would the new coordinates be for Point A and B if they were rotated 90 degrees, 180 degrees and 270 degrees? 

Point A (4, 9)

Point B (6, 10) 

90 degrees

Point A (-9, 4) Point B (-10, 6)

180 degrees

Point A (-4, -9) Point B (-6, -10)

270 degrees: Point A (9, -4) Point B (10, -6) 

300
Solve for b to one decimal place


a = 40cm

b = ?

c = 70 cm

a^2 + b^2 = c^2

1600 + b^2 = 4900

b^2 = 4900 - 1600 

b^2 = 3300

b= 57.5 cm (57.4456) 

300

What is the area of a circle with a radius of 7m?

A = pi r 2

= 3.14 x 72

= 3.14 x 49

= 153.9m2 

400

What quadrant is Point A in and where would it end up if it was rotated 270 degrees? 


Point A (-3, - 7) 

 Point A is in quadrant 3 and would end up in quadrant 2 if it was rotated 270 degrees. 

400

Solve for a

a = ? 

b = 80 cm

c = 92 cm

a^2 + b^2 = c^2 

a^2 + 80^2 = 92^2

a^2 + 6400cm = 8464cm

a^2 = 8464cm - 6400cm

a^2 = 2064 cm

a = 45.4 cm 

400

What is the area of a circle that has a diameter of 18m?

diameter / 2 = radius 

= 18/2

=9m 

A = pi r2

A = 3.14 x 92

A = 3.14 x 81

= 254.3m2

500

What would the new coordinates be if they were rotated 180 degrees?


Points A (3, -2)

Point B (2, -5)

Point C (5, -6)

New coordinates after 180 degree rotation

Point A (-3, 2)

Point B (-2, 5)

Point C (-5, 6)

500

Two sides of a right angled triangle are 12cm and 32cm. What is the hypotenuse of the triangle? 

There are 2 possible hypotenuses for this triangle. One being 32cm and one being 34.2cm. 

500

Calculate the area of a circle that has a circumference of 12cm. 

diameter = circumference / pi 

= 12 / 3.14

= 3.8cm 

r = diameter / 2 = 3.8cm / 2 = 1.9 

A = pi r2

A = 3.14 x 1.92

= 3.14 x 3.6

= 11.3cm2