Stage 5 Measurement and Geometry: Coordinate Geometry

Midpoint

100

What are the coordinates of the midpoint of a line segment whose endpoints are (2,6) and (10,4)

(6,5)

200

The point (2,1) is the midpoint of a line segment whose endpoints are (3,2) and (1,b). What is the value of b?

b = 0

300

What are the coordinates of the midpoint of the line segment whose endpoints are (c,0) and (0,d)?

(c/2, d/2)

400

One endpoint of a segment is located at (−3,−5). The midpoint is located (2, 10). Find the other endpoint.

(7,25)

500

The coordinates of quadrilateral ABCD are A(-3,-1), B(3,1), C(7,5), and D(1,3). Do the diagonals bisect each other, and why?

No, because they do not have the same midpoint.

Distance

100

If the endpoints of the diameter of a circle are (3,1) and (6,5) find the diameter.

5 units

200

Find the exact distance between the points (-1,-2) and (5,0). 

d = 2√5 units

300

The distance between the points A(a,0) and B(0,b) is

d = sqrt(a^2 + b^2)

400

The length of a segment whose endpoints are (2,2) and (-2,10) in simplified radical form. 

d = 4sqrt(5) units

500

The coordinates of vertices of triangle ABC are (-1,3), (3,2) and (2,-2) respectively. Classify the triangle on basis of the length of its sides. 

Isosceles (d_{AB =} d_BC)

sqrt(17)

Slope

100

What is the slope of the line 

y = 3x +5

m = 3

200

What is the slope of a line determined by the points (-1,3) and (3,-1)?

m = -1

300

Find the value of k, given the points P(2,3) and Q(4,k) if PQ has slope m=0. 

k = 3

400

What is the slope of the line whose equation is

- 2y = - 8 x + 9

m = 4

500

Find the value of k, given the points P(-6,-7) and Q(-8,k) if PQ has slope m=1.5

k = -4

Gradient-Intercept Form

100

Find the gradient and y-intercept of y=3x+1

m=3

b=1

200

Find the equation of the line with gradient 2 and y-intercept of 6.

y=2x+6

300

Find the gradient and y-intercept of y=2x

m=2

b=0

400

What is the equation of a line parallel to the y-axis and passes through (0, 4)?

y=4

500

Find the equation of the line given that it passes through points (0,2) and (2,0). 

y=-x+2

Mystery

100

What is Maggie's favourite TV show?

Love Island

200

What did we buy to practice financial maths calculations?

Phones

300

Which quiz platform can you make a pdf of the questions?

Quizizz

400

What TV show inspired our simultaneous equations lesson?

Masterchef

500

What did we investigate on MAD Day?

Charity Muggers