Pythagorean theorem and distance Knowledge-Based Download PDF

Math · Geometry · Math · Pythagorean Theorem & Coordinate Geometry

5 Math practice questions on Pythagorean theorem and distance. Questions that assess core concepts and understanding.

Questions

1.
A circle in the Cartesian coordinate plane has a diameter with endpoints at $A(-4, -1)$ and $B(2, 7)$ . What is the radius of the circle?
- A) 10
- B) 8
- C) 5
- D) 2.5
2.
The vertices of a triangle in the Cartesian coordinate plane are $A(1, -3)$ , $B(9, -3)$ , and $C(1, 12)$ . What is the perimeter of triangle $ABC$ ?
- A) 32
- B) 36
- C) 40
- D) 46
3.
A point $P$ on the $y$ -axis is equidistant from the points $A(-3, 0)$ and $B(5, 4)$ . What are the coordinates of point $P$ ?
- A) $(0, 2)$
- B) $(0, -4)$
- C) $(0, 6)$
- D) $(0, 4)$
4.
A point $P(k, 2)$ in the first quadrant is located at a distance of 13 units from the point $Q(-3, -10)$ . What is the value of $k$ ?
- A) 8
- B) 5
- C) 3
- D) 2
5.
What is the distance between the points $(-2, 3)$ and $(4, -5)$ in the Cartesian coordinate plane?
- A) 8
- B) 10
- C) 14
- D) $\sqrt{28}$