Show:
Geometry Basics
Triangles
Circles
Polygons
Misc.
100
A pair of adjacent supplementary angles
What is a linear pair?
100
The EXACT length of a leg if a right triangle's other two sides measure 12cm and 18 cm (length must be an integer or in radical format)
What is 6 times the square root of 5 (simplified from the square root of 180 )
100
two parts: a) the EXACT diameter of a circle if the circle's circumference is 75 pi inches. b) the area of a circle if the circle's diameter is 26 cm
a) what is 75 inches ? b) what 169 pi sq. cm. ? ( pi times radius squared when r = 26/2)
100
A parallelogram with four right angles
What is either a square or a rectangle?
100
The sum of the interior angles of a 32 sided polygon
What is 5,400 degrees? (n-2)(180) or here, 30*180
200
a) Lines that lie in the same plane but never intersect b) Lines that intersect and form a 90 degree angle
a) what are parallel lines? b) what are perpendicular lines?
200
When triangle NED is congruent to triangle RWO, this is the angle that corresponds to angle WRO.
What is angle END?
200
Two parts: a) The location of the vertex of any central angle in a circle? b) The measure of the arc intercepted by a central angle that measures 76 degrees.
a) what is the center of the circle? b) what is 76 degrees?
200
a quadrilateral that is both equiangular and equilateral
What is a square?
200
When triangle NED is congruent to triangle RWO, this is the angle that corresponds to angle WRO
What is angle END?
300
The converse of the conditional: "if you don't water your flowers then they will wilt"
What is "If your flowers are wilted then you didn't water them."
300

Do these lengths form a triangle and what theorem helps one decide if they do?

 7.3 cm, 5.02 cm and 2.1 cm

What is no, they will NOT form a triangle because the sum of 2 sides is less than the third side by the Triangle Inequality Theorem.

300
two parts: a) how you know an angle is an inscribed angle (draw a picture) b) the measure of an inscribed angle that intercepts an arc that measures 30 degrees
a) What is the angle intersects a circle in two point snd the angle's vertex is ON the circle (draw a picture) b) what is 15 degrees (the inscribed angle measures half of the measure of the arc)
300
two parts: a) what a regular polygon is. b) the measure of one interior angle of a 15-gon polygon
a) what is a polygon where all sides are equal and all interior angles are equal b) what is 156 degrees [13(180)] / 15
300
This is the distance between (-9, 3) and (1, -5)
What is the square root of 164? (about 12.8)
400

The slope of a line perpendicular 

a) to a line with an equation of y = 5/3 x + 7 

and 

b) to a line with an equation y = 5

a) What is a line with slope of -3/5? 

(slopes are opposite and reciprocals of each other)

b) What is a line with an undefined slope? 

400
The measure of a base angle in an isosceles triangle whose vertex angle is 37.5 degrees
What is 71.25 degrees? (180-37.5)/2
400
If a line is tangent to a circle, this is the measure of the angle at the point of tangency formed with the radius of the circle at that point. (Draw a picture of the angle too)
What is 90 degrees? (draw a picture)
400
Two isosceles trapezoids are similar. The smaller trapezoid has bases that are 4.8 inches and 6.75 inches. The longer base of the larger trapezoid is 32.0625 inches (32and 1/16th of an inch). Calculate the length of the shorter base of the larger trapezoid (draw a picture)
what is 22.8 inches? (proportion is 4.8/6.75 = x/32.0625 ; solve for x)
400
The volume of a triangular pyramid with height of 3 ft whose base is a right triangle with dimensions of 6 in, 8 in and 10 in
what is volume of 288 cu. inches ( change 3 ft to 36 inches; area of base is 1/2 of 6*8 or 24. then volume is 1/3 * 24 * 36)
500

a) the Greek mathematician for whom the Pythagorean Theorem is named.

b) a = Square root of ( c2 - b2 )

c) x : x root 3 : 2x

a) Who is Pythagoras?

b) What is how does one calculate the length of a leg in a right triangle?

c) What is the ratio of side lengths in a 30-60-90 rt triangle? 

500

The intersection of the perpendicular bisectors of the sides of a triangle.

The point of intersection is equidistant from these.

The distance represents this.

What is the circumcenter?

What is equidistant from the vertices of the triangle?

What is the radius of the circumscribed circle?

500

The exact area of a circle whose circumference is 20pi inches

what is 100pi square inches

500
The value of x when the four angles of a quadrilateral are given by: 2x x-5 3x-2 and 5x+19
What is x = 31.63636364
500
three of the things that occur when a line bisects the vertex angle of an isosceles triangle
What is : 1. the line is a perpendicular bisector of the base 2. the line is also a median 3. the line is a line of symmetry for the triangle