Ch. 8 Coordinate Geometry (1)

The y-coordinate of R is ___.

Answer explanation

It is NOT asking for the "coordinates", but only the "y-coordinate".

Match the points A, B, C, D, E with the correct quadrants.

• III

• C

• I

• A

• IV

• D

• None of the above

• B

• II

• E

Answer explanation

Point B lies on the x-axis so that it does not belong to any quadrant.

In the figure, AB is a vertical line segment. The coordinates of A and B are (a,2a) and (5,2) respectively. Find the y-coordinate of the point A.

• 5

• 10

• 2

• 4

Answer explanation

Points A and B lies on the same vertical line segment so they have the same x-coordinate. Therefore, a = 5. The y-coordinate of point A should be 2a.

Find the distance between A(a,-5) and B(a,0).

• -5 units

• 5 units

• a units

• 2a units

In the figure, the area of the parallelogram ABCD is 45 sq. units. Find the coordinates of B and D.

• B(9,0)

  D(2,5)

• B(4.5,0)

  D(9,5)

• B(9,0)

  D(4.5,5)

• B(4.5,0)

  D(2,5)

Answer explanation

Consider the coordinates of point C, we find the height of parallelogram should be 5. So, we can find out the length of the parallelogram.

P(-3,3) is a point on a horizontal line segment AB such that AP = PB = 4 units. If A is on the left of B, find the coordinates of B.

On a map, John’s school is located at (4, -5), the McDonald’s is located at (4, 3), the mall is located at (2, -5) and his home is situated at (2, 3). What is the area between the four locations?

• 8 square units

• 10 square units

• 16 square units

• 20 square units

A point A is translated upwards by 6 units and to the right by 5 units to a point B. B is reflected with respect to the x-axis to a point C. C is rotated anticlockwise about the origin through 90^o to D(-2, -3). Find the coordinates of A.

The coordinates of A is (_, _)

Find the area of the plane figure.

• 18 sq. units

• 22.5 sq. units

• 17 sq. units

• 21.5 sq. units

When a point P(6, a) is rotated clockwise about the origin through 90^o, or reflected with the respect the the y-axis, it produces the same image. Find the value of a.