Coordinate distances and midpoints · Short practice

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Recall

Coordinate distances and midpoints — objective 1

Maths4U Original · Short practice

\(\displaystyle A=(-1,-2)\) and \(\displaystyle B=(2,2). P\) lies on AB with \(\displaystyle AP:PB=1:2\).

Find AB.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Fresh review variant

Coordinate distances and midpoints — objective 1

Maths4U Original · Short practice

\(\displaystyle A=(0,-1)\) and \(\displaystyle B=(6,7). P\) lies on AB with \(\displaystyle AP:PB=1:2\).

Find AB.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Method

Coordinate distances and midpoints — objective 2

Maths4U Original · Short practice

\(\displaystyle A=(0,-1)\) and \(\displaystyle B=(6,7). P\) lies on AB with \(\displaystyle AP:PB=1:2\).

Find the x-coordinate of the midpoint.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Fresh review variant

Coordinate distances and midpoints — objective 2

Maths4U Original · Short practice

\(\displaystyle A=(1,0)\) and \(\displaystyle B=(10,12). P\) lies on AB with \(\displaystyle AP:PB=1:2\).

Find the x-coordinate of the midpoint.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Apply

Coordinate distances and midpoints — objective 3

Maths4U Original · Short practice

\(\displaystyle A=(1,0)\) and \(\displaystyle B=(10,12). P\) lies on AB with \(\displaystyle AP:PB=1:2\).

Find the y-coordinate of the midpoint.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Fresh review variant

Coordinate distances and midpoints — objective 3

Maths4U Original · Short practice

\(\displaystyle A=(2,1)\) and \(\displaystyle B=(14,17). P\) lies on AB with \(\displaystyle AP:PB=1:2\).

Find the y-coordinate of the midpoint.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Check understanding

Coordinate distances and midpoints — objective 4

Maths4U Original · Short practice

\(\displaystyle A=(2,1)\) and \(\displaystyle B=(14,17). P\) lies on AB with \(\displaystyle AP:PB=1:2\).

Find the x-coordinate of P.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Fresh review variant

Coordinate distances and midpoints — objective 4

Maths4U Original · Short practice

\(\displaystyle A=(3,2)\) and \(\displaystyle B=(18,22). P\) lies on AB with \(\displaystyle AP:PB=1:2\).

Find the x-coordinate of P.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Try written exam-style problems →