Shapes on coordinate grids | Maths | Quizalize & Oak National Academy

Starter quiz

Choose the pair of coordinates that is the midpoint of the line segment AB.

(5, 3)

(7, 3) ✓

(7, 7)

(3, 7)

4
The pair of coordinates that is the midpoint of the line segment CD are ______.

'(2.5, 9)' ✓
Which of these calculations finds the gradient of the line segment AB?

${4+1}\over{10+5}$

${10+4}\over{5+1}$

${10-4}\over{5-1}$

${5+1}\over{10+4}$

${5-1}\over{10-4}$ ✓
The gradient of the line segment CD is ______ to 3 decimal places.

'-0.222' ✓
The length of the hypotenuse of this triangle is ______ cm to 2 decimal places.

'26.25' ✓
Find the perimeter of this triangle. Give your answer in metres, correct to the nearest metre.

'2 m' ✓

Exit quiz

To find the length of the line segment CD you need to use ______ theorem.

'Pythagoras' ' ✓
The perimeter of trapezium ABCD is ______ units (to 1 decimal place).

'31.2' ✓
Match each measurement to its value.

length of line segment EF

⇔

7.07 units (2 d.p.) ✓

length of line segment FG

⇔

15 units ✓

length of line segment GH

⇔

3 units ✓

length of line segment HI

⇔

6.32 units (2 d.p.) ✓

length of line segment IE

⇔

4 units ✓

perimeter of pentagon EFGHI

⇔

35.4 units (1 d.p.) ✓
Match each shape to its area.

area of rectangle JONM

⇔

50 units² ✓

area of triangle JMK

⇔

10 units² ✓

area of triangle KNL

⇔

6 units² ✓

area of triangle JOL

⇔

15 units² ✓

area of triangle JKL

⇔

19 units² ✓
The area of triangle QPR is ______ units².

'21.5' ✓
Calculate the area of the triangle bound by the three straight lines with equations: $y=2$ , $y=x$ , $x+y=12$ . The area is ______ units².

'16' ✓

Worksheet

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Lesson Details

Key learning points

Shapes on coordinate grids do not often have their measurements clearly written.
Instead, you are expect to calculate the desired lengths.
This may involve Pythagoras' theorem, shape properties or equations of lines for example.

Common misconception

"The graphs of two straight line equations should always intersect at integer points on a coordinate grid."

The location with which the graphs of two straight line equations intersect can be found by simultaneously solving the pair of equations. The graphs of two straight line equations can intersect at either integer or non-integer values.

Keywords

Equation of a straight line - An equation of a line is any equation whose graph forms a straight line. These equations can be written in the form y = mx + c.