Review Jeopardy Locus Equation of Locus Compound Locus Line Reflections & Symmetry Grab bag $100...

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Transcript of Review Jeopardy Locus Equation of Locus Compound Locus Line Reflections & Symmetry Grab bag $100...

Review Jeopardy

LocusEquation of Locus

Compound Locus

Line Reflections

& Symmetry

Grab bag

$100 $100 $100 $100 $100

$200 $200 $200 $200 $200

$300 $300 $300 $300 $300

$400 $400 $400 $400 $400

$500 $500 $500 $500 $500

Locus for $100

•What is the locus from a point?

Locus for $100

•What is the locus from a point?

A Circle

Locus for $200

•What is the locus from a line?

Locus for $200

What is the locus from a line?

Two parallel lines one above and one below the

line

Go!

Locus for $300

• What is the locus from 2 points?

Locus for $300

• What is the locus from 2 points?

The perpendicular bisector of the segment form from the two points.

Locus for $400

• What is the locus from 2 parallel lines?

Locus for $400

• What is the locus from 2 parallel lines?

A parallel line in the middle.

Locus for $500

• What is the locus from two intersecting lines?

Locus for $500

• What is the locus from two intersecting lines?

Two lines that bisect the angles formed by the intersecting lines.

Equation of locus for $100

• Write an equation of the locus of points equidistant from the graphs of

y = -3 and y = -5

Equation of Locus for $100

• Write an equation of the locus of points equidistant from the graphs of

y = -3 and y = -5

y = - 4

Equation of Locus for $200

• Write an equation of the locus of points 10 units from the point (-5, 7).

Equation of Locus for $200

• Write an equation of the locus of points 10 units from the point (-5, 7).

2 2(x + 5) (y - 7) 100

Equation of Locus for $300

• What is the slope and radius of the circle with the equation.

2 2(x + 4) (y+1) 9

Equation of Locus for $300

• What is the slope and radius of the circle with the equation.

Center: (-4,-1)

Radius: 3

2 2(x + 4) (y + 1) 9

Equation of Locus for $400

• Write an equation of the locus of points 5 units from the origin.

Equation of Locus for $400

• Write an equation of the locus of points 5 units from the origin.

2 2x y 25

Equation of Locus for $500

What is the equation of the locus of points equidistant from points

A (1, 6) and B (1, -2).  

Equation of Locus for $500

What is the equation of the locus of points equidistant from points

A (1, 6) and B (1, -2)

y = 2

Compound Locus for $100

• What is the number of points in a plane 2 units from a given line and 3 units from a given point on the line?

Compound Locus for $100

• What is the number of points in a plane 2 units from a given line and 3 units from a given point on the line?

4 Points

Compound Locus for $200

• What is the number of points in a plane 5 units from a given line and 3 unit from a given point on the line?

Compound Locus for $200

• What is the number of points in a plane 5 units from a given line and 3 unit from a given point on the line?

0 points

Compound Locus for $300

Two points A and B are 6 units apart.  How many points are there that are equidistant from both A and B and also 5 units from A?

Compound Locus for $300

Two points A and B are 6 units apart.  How many points are there that are equidistant from both A and B and also 5 units from A?

2 points

Go!

Compound Locus for $400

• Parallel lines r and s are 8 meters apart, and A is a point on line s.  How many points are equidistant from line r and line s and also 4 meters from point A?  

Compound Locus for $400

• Parallel lines r and s are 8 meters apart, and A is a point on line s.  How many points are equidistant from line r and line s and also 4 meters from point A?  

1 point

Compound Locus for $500

• Maria’s backyard has two trees that are 40 feet apart. She wants to place lampposts so that the posts are 30 feet from both of the trees. How many locations for the lampposts are possible?

Compound Locus for $500

• Maria’s backyard has two trees that are 40 feet apart. She wants to place lampposts so that the posts are 30 feet from both of the trees. How many locations for the lampposts are possible?

2 points

Line Reflections for $100

•When the point (4, 1) is reflected in the x-axis, what are the coordinates of its image?

Line Reflections for $100

•When the point (4, 1) is reflected in the x-axis, what are the coordinates of its image?

(4, -1)

Line Reflections for $200

•When the point (-5, -3) is reflected in the y-axis, what are the coordinates of its image?

Line Reflections for $200

•When the point (-5, -3) is reflected in the y-axis, what are the coordinates of its image?

(5, -3)

Line Reflections for $300

Does the letter “S” have horizontal line symmetry?

Line Reflections for $300

Does the letter “S” have horizontal line symmetry?

NO!

Line Reflections for $400

The coordinates of the endpoints of are A(0, 3) and B(-5, -6). State the coordinates of A' and B' the images of A and B after AB is reflected in the line x = 0.

Line Reflections for $400

The coordinates of the endpoints of are A(4, 3) and B(-5, -6). State the coordinates of A' and B' the images of A and B after AB is reflected in the line x = 0.

A'(0, 3) and B' (5, -6).

Line Reflections for $500

Name all of the capital letters of the alphabet that have both horizontal and vertical symmetry.

Line Reflections for $500

Name all of the capital letters of the alphabet that have vertical line symmetry

A, H, I, M, O, T, U, V, W, X, Y

Grab bag for $100

• What is the slope of the line?

39

4y x

Grab bag for $100

• What is the slope of the line?

39

4y x

3

4m

Grab bag for $200

Find the Slope:

(-10, 4) and (4, -7)

Grab bag for $200

Find the Slope:

(-10, 4) and (4, -7)

11

14m

Grab bag for $300

• The ratio of two supplementary angles is 1:4. Find both angles.

Grab bag for $300

The ratio of two supplementary angles is 1:4. Find both angles.

36 degrees144 degrees

Grab bag for $400

• Find each interior angle of a regular pentagon.

Grab bag for $400

• Find each interior angle of a regular pentagon.

108 degrees

Grab bag for $500

• Find X:

3x – 1

X + 11

Grab bag for $500

• Find X:

X = 6

3x – 1

X + 11