Cartesian Plane, Distance and Midpoint Formula, and Pythagorean

In the coordinate point (2,7) the 2 represents

• ordinate

• origin

• abscissa

• point

Where is point E located?

• ( 2, 0 )
• ( 2 , 2 )
• ( 0 , 2 )
• ( 0 , 0 )

What is the coordinate of this point?

• (8, 2)

• (2,7)

• (2,8)

• (8,3)

How is the distance formula correctly written:

• $d\ =\ \sqrt{\left(y_{1\ }-\ y_2\right)^2\ -\left(x_{2\ }-\ x_1\right)^2}\$

• $d\ =\ \sqrt{\left(x_{2\ }-\ x_1\right)^2\ +\ \left(y_{2_{\ }}-\ y_1\ \right)^2}$

• $d\ =\ \sqrt{\left(y_{1\ }-\ y_2\right)^2\ +\ \left(x_{2\ }-\ x_1\right)^2}$

• d = $\sqrt{\left(x\right)^2-\ \left(y\right)^2}$

Find the direct distance between the court house and the town hall.

• 26.89 km

• 6.81 km

• 10.02 km

• 7.21 km

Find the distance between the points (4, 3) and (0, 6).

• 3

• 4

• 5

• 7

Which theorem is the distance formula derived?

• Pythagorean Theorem

• Inscribed Angle Theorem

• Triangle Inequality Theorem

• Rational Root Theorem

What is the distance between two cities, City A located at (3, 5) and City M located at (-4, -19)?

• 13 units

• 21 units

• 23 units

• 25 units

Determine the length of the unknown side of the right triangle.

• 5

• 6

• 7

• 8

Find the midpoint of (6,10) and (16, 20).

• (30,20)

• (22,30)

• (15,11)

• (11,15)