Postulates & Proof
DAILY DOUBLE!!
In mathematics, this is a type of statement which can be proven.
What is a theorem.
True or False? The area of a rhombus is the product of its diagonals.
What is false?
This is the fixed side lengths ratio of every 30-60-90 triangle.
What is
1:\sqrt3:2?
Name three types of solids that can be formed by the revolution of a 2D shape around an axis.
What are the cylinder, the cone, and the sphere?
In a line reflection, the line of reflection has this relationship with the segment joining any preimage point to its corresponding image point.
What is it is the perpendicular bisector of that segment?
A line has this many dimensions.
What is 1?
DAILY DOUBLE!!
Name three types of quadrilaterals with congruent diagonals.
What are the rectangle, the square, and the isosceles trapezoid?
A 12-foot ladder is leaning against a wall such that its legs are 5 feet from the wall. This is the angle the ladder forms with the (perfectly) horizontal ground, to the nearest tenth).
What is 65.4 degrees?
Segment AB is tangent to circle O at B. Chord BC is drawn. The measure of angle ABC is 48 degrees. This is the measure of arc BC.
What is 96 degrees?
In a point reflection, the point of reflection has this relationship with the segment joining any preimage point to its corresponding image point.
What is it is the midpoint of that segment?
Where two lines meet, this many distinct linear pairs (of angles) are formed.
What is 4?
What type of quadrilateral is formed by joining the midpoints of the sides of a rhombus (consecutively)?
What is a rectangle?
DAILY DOUBLE!!
In right triangle JAY, the right angle is at A and sin(J)=4/5. This is sin(Y).
What is 3/5?
Name the principle which states that two solids have the same volume if they have congruent bases and cross sections (at every corresponding 'level').
What is Cavalieri's principle?
Name 5 angle measures by which a regular nonagon can be rotated such that it maps onto itself.
What are 40, 80, 120, 160, and 200 degrees?
In a mathematical proof, each statement is made by this type of reasoning.
What is deductive reasoning?
Quadrilateral ABCD has AB=7, BC=11, CD=3, and DA=19. AC, the length of one diagonal, is an integer. Find AC.
What is 17?
sin(9x-5)=cos(5x-3). This is x.
What is 7?
DAILY DOUBLE!!
Chord AB meets diameter COD at point E in circle O. AE=7, EB=8, and CO=9. This is OE.
What is 5?
Line a is the image of line b after a reflection over the x-axis. This is an equation of line a if an equation of line b is
y=2/3x-4
What is
y=-2/3x+4?
This is Euclid's 5th postulate, often dubbed "the parallel postulate".
What is: 'Parallel to a given line and through a point not on it, there exists exactly one line.'
Rhombus DASH has side length 10 and diagonal lengths 16 and 12. This is the height of DASH.
What is 9.6?
This is the fixed side lengths ratio of every 10-80-90 triangle (round each value to the nearest hundredth).
What is 0.17:0.98:1?
A right circular cone has a slant height of 12 and a base circumference of 12pi. This is the total surface area of that cone.
What is (in square units)
108\pi?
DAILY DOUBLE!!
This is the image of A(-2,7) after a reflection over
x-2y=-6
What is A'(2,-1)?