Connecting Algebra and Geometry Through Coordinates
Answer the questions from our unit to help review for the post test.
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- A circle is defined by the equation given below. x^2 + y^2 - x - 2y - 11/4 += 0
- The general form of the equation of a circle is Ax^2+By^2+Cx+Dy+E= 0, where A=B≠0. If the circle has a radius of 3 units and the center lies on the y-axis, which set of values of A,B,C,D and E might correspond to the circle?
- The equation of a circle is x^2+y^2+Cx+Dy+E=0. If the radius of the circle is decreased without changing the coordinates of the center point, how are the coefficients, C, D, and E affected?
- http://contentstore.ple.platoweb.com/content /GeoGebra.v5.0/GeoGebra_Activity.html Use the link above to create the figure to help answer this question. A circle is centered at the point (-7,-1) and passes through the point (8,7). The radius of the circle is _______ units. The point (15, ____) lies on this cicle
- http://contentstore.ple.platoweb.com/content /GeoGebra.v5.0/GeoGebra_Activity.html Use the link above to create the figure to help answer this question. A quadrilateral has vertices A(4,5), B(2,4), C(4,3), and D(6,4). Which statement about the quadrilateral is true?
- http://contentstore.ple.platoweb.com/content /GeoGebra.v5.0/GeoGebra_Activity.html Use the link above to create the figure to help answer this question. Given a Rhombus with the coordinates Q(-2,3), R(1,5), S(4,3), T(1,1), which of the following conjectures, concerning the diagonals of a rhombus, is most likely true?
- http://contentstore.ple.platoweb.com/content /GeoGebra.v5.0/GeoGebra_Activity.html Use the link above to create the figure to help answer this question. A, B, C, and D have the coordinates (-8,1), (-2,4), (-3,-1), and (-6,5), respectively. Which sentences about the points is true?
- AB passes through A(-3,0) and B(-6,5). What is the equation of the line that passes through the origin and is parallel to AB?
- http://contentstore.ple.platoweb.com/content /GeoGebra.v5.0/GeoGebra_Activity.html Use the link above to create the figure to help answer this question. Plot point A at (2,-6) and point B at (10,2). Place point D so that point D divides line segment AB in the ratio of 5:3. If the line segment AC is vertical and the line segment CD is horizontal, what are the coordinates of point C.
- Point R divides PQ in the ratio 1:3, if the x-coordinate of R is -1 and the x-coordinate of P is -3, what is the x-coordinate of Q?
- http://contentstore.ple.platoweb.com/content /GeoGebra.v5.0/GeoGebra_Activity.html Use the link above to create the figure to help answer this question. Plot points A(2,11), B(4,11), C(16,2), D(2,2). A group of college students built a self guided rover and tested it on a plane surface. They programmed the vehicle to move along the path A-B-C-D-A represented on the coordinate plane. What distance will the rover cover if it completes one circuit.
- A circle is centered at the point (-3,2) and passes through the point (1,5). The radius of the circle is ________ units. The point (-7,_____) lies on this circle.
- http://contentstore.ple.platoweb.com/content /GeoGebra.v5.0/GeoGebra_Activity.html Use the link above to create the figure to help answer this question. A quadrilateral has vertices A(3,5), B(2,0), C(7,0) and D(8,5). Which statement about the quadrilateral is true?
- Which point lies on a circle with a radius of 5 units and center at P(6,1)?
- http://contentstore.ple.platoweb.com/content /GeoGebra.v5.0/GeoGebra_Activity.html Use the link above to create the figure to help answer this question. The vertices of a quadrilateral on the coordinate plane are (2,4), (-4,-2), (-2,4) and (4,-2). What type of quadrilateral has these vertices?
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