Geometry B Unit 2 Post-test Connecting Algebra and Geometry through Coordinates

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Radius of circle= 17 units Point= -16

A circle is center at the point (-7,-1), and passes through the point (8,7). Radius of the circle is ____ units. The point (-15, ____) lies on this circle.

C= (1/2,1) R=2

A circle is defined by the equation given below x2+y2-2y-11/4=0 What are the coordinates for the center of the area+length of the radius

40 meters

A group of college students built a self-guided rover and tested it on a plane surface

ABCD is a rhombus

A quadrilateral has vertices A(4,5) B(2,4) C(4,3) and D(6,4). Which statement about the quadrilateral is true?

AB and CD are perpendicular lines

A,B,C, and D have coordinates (-8,1), and (-2,4), (-3,-1) and (-6,5)

C, -1

If A(X1,Y1) B(X2,Y2) C(XY,Y3), and D(X4,Y4) form two line segments

X-intercept= (17,0) Point= (-2,19)

If coordinates of A and B are (-10,-3) and (7,14) the x-intercept of CD is ______. The point _________ lies on CD.

Point C= (2,-1)

In the diagram, point D divides the line segment AB in ratio 5:3. If line segment AC is vertical + line segment CD is horizontal, What are point C coordinates?

Point B= (-10,-4) Coordinates (58/9, -2)

Point C(3.6, -0.4) divides AB in ratio 3:2. Coordinates A(-6,5), point B________. Point D divides CB in the ratio 4:5, coordinates are ___________.

5

Point R divides PQ in ratio 1:3. If x-coordinate R is -1, coordinates P is -3. What's coordinate Q?

Equation (x-2)^2+(y+3)^2=18 Center (2,-3) Radius. 3 square root 2

The equation of this circle in standard form is________ The center of the circle is at the point __________, and it's radius is ___________ units.

A=1, B=1, C=0, D=0, and E=7

The general form of the equation circle is Ax^2+By^2+Cx+Dy+E=0

Slope of AC = Slope of DF

The table contains proof of the theorem of the relationship between slopes of parallel lines. What is the missing step for 6?

A= 1/2 (y3-y1)(x3-x1)

What is the area of this triangle?

A. 2(x2-x1)+2(y2-y1)

What is the perimeter of this rectangle?

C and D are unchanged, but E increases

If the radius is decreased without changing the coordinates of the center point, how are coefficients C,D, and E affected?

-8,4

Points E, A, and B are collinear and areas of square ABCD and right EAD are equal coordinates?

A) 2:3 B) 64. 03 C) 96.05 D) 22.81

Ratio of area rectangle ABEF to area rectangle ACDF is ______ coordinates. Point A are (0,6) area of rectangle ABEF is _______ square units. (4)

Right triangle

What type of triangle is formed by joining the points D(7,3) E(8,1) abd F(4,-1)?

y= -5/3x

AB passes through A(-3,0) and B(-6,5). What is the equation of the line that passes through origin and parallel to AB?


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