7.Coordinate Geometry Quiz

What is the distance formula for the line segment AB?

• √(x2 − x1) + (y2 − y1)

• √(x2 + x1)2 + (y2 + y1)2

• √(x2 − x1)2 + (y2 − y1)2

• √(x2 + x1) + (y2 + y1)

What is the coordinate of the point P (x,y) which divides the line segment joining the points A and B internally in the ratio m1: m2?

• (m1x2 + m2x1 / m1 + m2, m1y2 + m2y1 / m1 + m2)

• (m1x2 - m2x1 / m1 - m2, m1y2 - m2y1 / m1 - m2)

• (m1x1 + m2x2 / m1 + m2, m1y1 + m2y2 / m1 + m2)

• (m1x1 - m2x2 / m1 - m2, m1y1 - m2y2 / m1 - m2)

What is the mid-point of the line segment joining the points P and Q?

• (x1 - x2, y1 - y2)

• (x1 + x2 / 2, y1 + y2 / 2)

• (x1 + x2, y1 + y2)

• (x1 - x2 / 2, y1 - y2 / 2)

What is the distance formula for the line segment CD?

• √(x2 − x1)2 + (y2 − y1)2

• √(x2 + x1)2 + (y2 + y1)2

• √(x2 − x1) + (y2 − y1)

• √(x2 + x1) + (y2 + y1)

What is the coordinate of the point R (x,y) which divides the line segment joining the points C and D internally in the ratio m1: m2?

• (m1x2 + m2x1 / m1 + m2, m1y2 + m2y1 / m1 + m2)

• (m1x1 + m2x2 / m1 + m2, m1y1 + m2y2 / m1 + m2)

• (m1x1 - m2x2 / m1 - m2, m1y1 - m2y2 / m1 - m2)

• (m1x2 - m2x1 / m1 - m2, m1y2 - m2y1 / m1 - m2)

What is the mid-point of the line segment joining the points R and S?

• (x1 + x2 / 2, y1 + y2 / 2)

• (x1 - x2 / 2, y1 - y2 / 2)

• (x1 + x2, y1 + y2)

• (x1 - x2, y1 - y2)

What is the distance formula for the line segment EF?

• √(x2 + x1) + (y2 + y1)

• √(x2 − x1) + (y2 − y1)

• √(x2 + x1)2 + (y2 + y1)2

• √(x2 − x1)2 + (y2 − y1)2

What is the coordinate of the point T (x,y) which divides the line segment joining the points E and F internally in the ratio m1: m2?

• (m1x1 - m2x2 / m1 - m2, m1y1 - m2y2 / m1 - m2)

• (m1x2 + m2x1 / m1 + m2, m1y2 + m2y1 / m1 + m2)

• (m1x1 + m2x2 / m1 + m2, m1y1 + m2y2 / m1 + m2)

• (m1x2 - m2x1 / m1 - m2, m1y2 - m2y1 / m1 - m2)

What is the mid-point of the line segment joining the points T and U?

• (x1 + x2 / 2, y1 + y2 / 2)

• (x1 - x2 / 2, y1 - y2 / 2)

• (x1 + x2, y1 + y2)

• (x1 - x2, y1 - y2)

What is the distance formula for the line segment GH?

• √(x2 + x1)2 + (y2 + y1)2

• √(x2 + x1) + (y2 + y1)

• √(x2 − x1) + (y2 − y1)

• √(x2 − x1)2 + (y2 − y1)2