Discover and prove two things about the triangle with vertices K( 3, 4),M(3, 1)

What is the .v-coordinate of every point that lies on a vertical line through C?

Which of the following points lie on a horizontal line through C? (2, 4) (2, -4) (0, 4) (4,3) (15,4) (-4,3)

Find OD and BF.

In Exercises 4-9 state: a. the coordinates of T b. the lengths of the legs of the right triangle c. the length of the segment shown

In Exercises 4-9 state: a. the coordinates of T b. the lengths of the legs of the right triangle c. the length of the segment shown

In Exercises 4-9 state: a. the coordinates of T b. the lengths of the legs of the right triangle c. the length of the segment shown

In Exercises 4-9 state: a. the coordinates of T b. the lengths of the legs of the right triangle c. the length of the segment shown

In Exercises 4-9 state: a. the coordinates of T b. the lengths of the legs of the right triangle c. the length of the segment shown

In Exercises 4-9 state: a. the coordinates of T b. the lengths of the legs of the right triangle c. the length of the segment shown

Find the distance between the points named. Give all answers in simplest form. a. (0, 0) and (5, -3) b. (3, -2) and (-5,-2) c. (4, 4) and (-3, -3)

Find the center and the radius of each circle. a. (x - 2) 2 4- y 2 = 1 b. (x + 2) 2 + (v - 8) 2 = 16 c. x2 + (v + 5) 2 =112 d. (x + 3) 2 + (y + 7) 2 = 14

Find an equation of the circle that has the given center and radius. a. Center (2, 5); radius 3 b. Center (-2, 0); radius 5 c. Center ( 2, 3); radius 10 d. Center (j, k); radius n

Given points A, B, and C. Find AB, BC, and AC. Are A, B, and C collinear? If so, which point lies between the other two? A(0, 3), B(-2, 1), C(3, 6)

Given points A, B, and C. Find AB, BC, and AC. Are A, B, and C collinear? If so, which point lies between the other two? A(5, -5), 5(0, 5), C(2, 1)

Given points A, B, and C. Find AB, BC, and AC. Are A, B, and C collinear? If so, which point lies between the other two? A(-5, 6), B(0, 2), C(3, 0)

Given points A, B, and C. Find AB, BC, and AC. Are A, B, and C collinear? If so, which point lies between the other two? A(3, 4), B(-3, 0), C(-l, 1)

Find the center and the radius of each circle. (x + 3) 2 + y 2 = 49

Find the center and the radius of each circle. (x + 7) 2 + (y - 8) 2 = ||

Find the center and the radius of each circle. (jc - j) 2 + (y + 14) 2 = 179

Find the center and the radius of each circle. (x + a) 2 + (y - b) 2 = c 2

Write an equation of the circle that has the given center and radius. C(3, 0); r = 8

Write an equation of the circle that has the given center and radius. C(0, 0); r = 6

Write an equation of the circle that has the given center and radius. C(-4, -7); r = 5

Write an equation of the circle that has the given center and radius. C(-2, 5); r = l -

Sketch the graph of (x - 3) 2 + (y + 4) 2 = 36.

Sketch the graph of (jc - 2) 2 + (y - 5) 2 < 9.

Show that the triangle with vertices A( 3, 4), M(3, 1), and F(0, -2) is isosceles.

Quadrilateral TAUL has vertices 7/(4, 6), A(6, -4), U(-4, -2), and L( 2, 4). Show that the diagonals are congruent.

Triangles JAN and RFK have vertices 7(-2, -2), A(4, -2), N(2, 2), R(S, 1), F(8, 4), and K(6, 3). Show that A/AN is similar to ARFK.

The vertices of AKAT and AIES are AT(3, -1), A(2, 6), 7/(5, 1), /(-4, 1), (-3, -6), and 5(-6, -1). What word best describes the relationship between AKAT and AIES?

Find the area of the rectangle with vertices 5(8, 0), 7(2, -9), R(-l, -7), and C(5, 2).

Show that the triangle with vertices D(0, 0), (3, 1), and F(-2, 6) is a right triangle, then find the area of the triangle.

There are twelve points, each with integer coordinates, that are 10 units from the origin. List the points. (Hint: Recall the 6, 8, 10 right triangle.)

a. List twelve points, each with integer coordinates, that are 5 units from (-8, 1). b. Find an equation of the circle containing these points.

The circle has center (0, 6) and passes through point (6, 14).

The circle has center ( 2, 4) and passes through point (3, 8).

The circle has diameter RS where /? is ( 3, 2) and S is (3, 2).

The circle has center (p, q) and is tangent to the x-axis.

a. Find the radii of the circles x2 + y 2 = 25 and (x - 9) 2 + (y - 12) 2 = 100. b. Find the distance between the centers of the circles. c. Explain why the circles must be externally tangent. d. Sketch the graphs of the circles.

a. Find the radii of the circles x2 + y 2 = 2 and (x - 3) 2 + (y - 3) 2 = 32. b. Find the distance between the centers of the circles. c. Explain why the circles must be internally tangent. d. Sketch the graphs of the circles.

Discover and prove something about the quadrilateral with vertices R(-l, -6), A(l, -3), F(ll, 1), and 7(9, -2).

Discover and prove two things about the triangle with vertices K( 3, 4), M(3, 1), and7(-6, -2).

It is known that AGHM is isosceles. G is point ( 2, 3), H is point ( 2, 7), and the x-coordinate of M is 4. Find all five possible values for the y-coordinate of M.

Find the coordinates of the point that is equidistant from ( 2, 5), (8, 5), and (6, 7).

Find the center and the radius of the circle x2 + Ax + y 2 8v = 16. (Hint: Express the given equation in the form (x - a) 2 + (> - bf = r.)