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Jeopardy Review

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Analytic geometry

Jeopardy Review

Every team will answer all questions. For your team to win points:

- Your whole team must participate in reaching the answer.
- The answer must be clearly written enough for the elderly and poorly sighted Ms. Timan to read.
- You will win ½ points if it is not your turn
- You will win full points if it is your turn
- You may steal if the current team answers incorrectly

Lengths/Circles

Midpoints

Geometric shapes

Lines

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Done!

What is the length of the line segment between

(1, 3) and (-2, -1)?

What is the equation for a circle centered at (2, 4) with the point (5, 8) on the edge?

What is the perimeter of triangle A(1, 2) B(5, 7) and C(-4, 2)?

A square sits inside a circle. The circle is centered at (0, 0) and has the point (4, 3) on it’s edge. What is the area of the square?

What is the midpoint between (-2, 5) and (4, 1)?

A triangle has verticies: A(1, 2) B(5, 7) and C(-4, 2).

What is the length of the median that connects the midpoint of AB to C?

The midpoint of a line is (3, 7). This line starts at (-1, 4). Where does this line end?

Prove the following to be true or false:

The diagonals of the rectangle A(-4, 1), B(-1, 3), C(3, -3) and D(0, -5) bisect each other.

What kind of shape is:

A(2, -5), B(7, -3), C(1, 4), D(-4, 2)?

Figure out where the centroid is for the triangle A(1, 2), B(1, 5) and C(6, 3).

What is the distance from the midpoint of the chord A(2, 5) B(0, 3) to the center of the circle (2, 3)?

What is the equation of the circle that just barely touches each of the corners of the triangle A(1, 2) B(2, 6) and C(5, 4)

What is the slope of a line perpendicular to:

y = –½x + 3?

What is the slope of a line perpendicular to:

5x – 4y = 10?

What is the equation of the perpendicular bisector to the line between points:

(2, 3) and (5, 7)?

What is the distance from the point (1, -5) to the line:

2y = 6x – 10