geometry b - unit 2: exam

which answers prove that quadrilateral abcd is a parallelogram? select all that apply.

ab || dc and ad || bc slope of ab = slope of bc; ad = bc

jerene must convert the equation to standard form. she writes a description of the steps she can take to convert the equation, but she is missing some information.

blank 1: 75 blank 2: 9 blank 3: 16 blank 4: (x + 3)^2 blank 5: (y - 4)^2 blank 6: (x + 3)^2 + (y - 4)^2 = 100

which equation verifies that the point p(-1, -16) lies on circle c?

(2 + 1)^2 + (-16 + 16)^2 = (2 - 2)^2 + (-16 + 13)^2

examine the diagram and information to answer the question. what is the equation of the circle?

(x + 3)^2 + y^2 = 16

complete the square to rewrite the equation in the form (x - h)^2 = p x^2 + 12x + 23 = 0 what is the equation?

(x + 6)^2 = 13

what is the equation of a circle with its center at (10, -4) and a radius of 2?

(x - 10)^2 + (y + 4)^2 = 4

what is the equation for circle c?

(x - 2)^2 + (y + 2)^2 = 16

abc has vertices a(-6, 5), b(-2, 5), and c(-6, 0) what is the area?

10 units

point a(1, 9) and point b(-4, -3) are located within the coordinate plane. what is the distance between the two points?

13.0

examine the diagram and information to answer the question. abc has vertices a(1, 1), b(1, 7), and c(6, 5) what is the area?

15 units

how many units is the perimeter of abc?

23.4 units

abc has vertices at a(0, 4), b(2, 2), and c(-2, -1). what is the perimeter?

5 + 2√2 + √29

what is the area of square abcd?

52 units

how many units is the perimeter of rectangle efgh?

6√10

point a(3, 8) and point b(-1, 1) are located within the coordinate plane. what is the distance from a to b?

8.1

a circle has the equation 2x^2 + 12x + 2y^2 - 16y - 150 = 0 what are the coordinates of the center, and what is the length of the radius?

the coordinates of the center are (-3, 4) and the length of the radius is 10 units.

a circle has the equation x^2 + y^2 - 14x - 18y + 105 = 0 what is the equation of the circle in standard form, the location of its center, and the length of its radius?

the equation of the circle is (x - 7)^2 + (y - 9)^2 = 25; the center is at (7, 9) and the radius is 5 units.

which answer verifies whether point p(10, -7) lies on the circle?

the statement (9 - 8)^2..... is a true statement, so p is not on circle c.

what is the equation of the circle? match the expression or equation to the steps used to find the equation of the circle.

vertical leg: |y - 2| horizontal leg: |x - 3| equation: (x - 3)^2 + (y - 2)^2 = 6^2

point r(3, 7) and point s(-1, -4) are located within the coordinate plane. what is the distance between the two points?

√137