Geometry - Position and Direction

What are the coordinates of point A on a grid where A is 3 units right and 2 units up from the origin?

• A(2, 3)
• B(3, 2)✓
• C(3, 3)
• D(2, 2)

Answer: Coordinates are written as (x, y). 3 units right = x-coordinate of 3. 2 units up = y-coordinate of 2. So the point is (3, 2).

If you face north and turn 90° clockwise, which direction do you face?

• AEast✓
• BSouth
• CWest
• DNorth-West

Answer: Turning 90° clockwise from north takes you to the east.

What are the coordinates of a point that is 4 units left and 3 units down from the origin?

• A(4, 3)
• B(-4, 3)
• C(-4, -3)✓
• D(4, -3)

Answer: 4 units left = x-coordinate of -4. 3 units down = y-coordinate of -3. So the point is (-4, -3).

If you face south and turn 180°, which direction do you face?

• AEast
• BWest
• CNorth✓
• DSouth-East

Answer: Turning 180° from any direction takes you to the opposite direction. The opposite of south is north.

What is the coordinate that is 2 units right and 4 units up from the point (3, 1)?

• A(5, 5)✓
• B(3, 5)
• C(5, 3)
• D(1, -3)

Answer: (3, 1) + (2, 4) = (3+2, 1+4) = (5, 5).

On a square grid, which point is at coordinates (2, 0)?

• A2 units up
• B2 units left
• C2 units right✓
• DOn the x-axis but not at the origin

Answer: (2, 0) means x-coordinate of 2 and y-coordinate of 0. This is 2 units right on the x-axis.

If you face west and turn 90° anti-clockwise (counter-clockwise), which direction do you face?

• ANorth
• BSouth✓
• CEast
• DWest

Answer: Turning 90° anti-clockwise from west takes you to south.

A shape has vertices at (0, 0), (4, 0), (4, 3), and (0, 3). What shape is it?

• AA triangle
• BA rectangle✓
• CA trapezium
• DA pentagon

Answer: These four points form a rectangle with width 4 and height 3.

What is the coordinate of the origin?

• A(0, 0)✓
• B(1, 1)
• C(1, 0)
• D(0, 1)

Answer: The origin is where the x-axis and y-axis meet, at coordinates (0, 0).

If a point is at (5, 3), how many units is it to the right of the y-axis?

• A3 units
• B5 units✓
• C8 units
• D15 units

Answer: The x-coordinate tells you the distance from the y-axis. The point (5, 3) is 5 units to the right.

You are at position (2, 2). You move 3 units right and 1 unit down. What is your new position?

• A(5, 1)✓
• B(5, 3)
• C(-1, 1)
• D(5, 2)

Answer: (2, 2) + (3 right, 1 down) = (2+3, 2-1) = (5, 1).

How many degrees is a full turn?

• A90°
• B180°
• C270°
• D360°✓

Answer: A full turn is 360°.