Putting DesCartes Before The Horse
Parallel Universes
What's Your Angle?
How To Center Yourself
Our Four-Sided Friends
100
Find the distance between the points (0,12) and (5,0).
What is 13
100
True or False: Parallel lines intersected by a transversal always have pairs of alternate interior angles that are congruent to pairs of alternate exterior angles.
What is True
100
Three angles form a linear triple. The first is worth four times the other two. Find the measure of the angles.
What is 120, 30, and 30.
100
The intersection of the perpendicular bisectors of a triangle.
What is the circumcenter
100
True or False: The diagonals of a parallelogram intersect at their midpoints.
What is True
200
What is the midpoint of the segment with endpoints at (3,-5) and (-11,7)
What is (-4,1)
200
What is the slope of the line parallel to the line with general equation 8x+2y=32?
What is -4
200
True or False: Inscribed angles always measure twice that of their intercepted arcs.
What is False
200
This point lets you physically balance a cardboard triangle on your fingertip.
What is the centroid, or center of mass
200
(1) What is the formula to determine the sum of the interior angels of a polygon? (2) What is the sum of the interior angles of a quadrilateral?
What is 180 * (n-2) and 360
300
A right isosceles triangle is positioned with a vertex at the origin and the other two vertices on the x- and y-axes respectively. What must the slope of the hypotenuse be?
What is 1 or -1
300
True or False: the only way for two lines to not intersect is for them to be parallel.
What is False (skew lines are neither parallel nor do they intersect)
300
What is the sum of the exterior angles of an 8-sided polygon?
What is 360
300
The angle bisectors of a triangle intersect at this point.
What is the incenter
300
What special property about diagonals holds true specifically for squares and rectangles?
The diagonals are congruent
400
Give the equation of a line with intercepts at the origin and passing through quadrants II and IV.
What is (answers will vary as long as the slope is negative and the y-intercept is zero).
400
The midsegment of a triangle has these two special properties.
The midsegment is parallel to the base and it is half the length of the base
400
What angle is formed by starting at one endpoint of the diameter of a circle, bouncing off of any other point on the circle, and then returning to the other endpoint of the diameter?
What is a right angle
400
What is the central angle measure of a circular arc that corresponds with a 40-degree inscribed angle?
What is 80 degrees
400
What shape results when a three-dimensional figure only has four vertex points?
What is a triangular pyramid or a tetrahedron
500
Find the equation of the line passing through the point (3,3) and perpendicular to the line 6x-2y=12.
What is y = (-1/3) x + 4
500
Consecutive interior angles have measures of 3y and 5y-4 respectively. What is the value of y?
What is 23
500
A triangle has an exterior angle of 120 degrees. Must it be an equilateral triangle?
What is No
500
How do you find the location of the orthocenter of a triangle?
What is the intersections of the altitudes
500
A square circumscribes a circle. The area of the square is 49. What is the radius of the circle?
What is 3.5
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