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 is 169 pi sq. cm. ? ( pi times radius squared when r = 26/2) OR what is 531 sq. cm. ?
100
A parallelogram with four right angles
What is 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
a) The distance formula b) The midpoint formula
a) What is "the square root of the sum of the differences of the x's squared and the y's squared." ______________ d=√(x-x)^2+(y-y)^2) b) What is (half of the sum of the x coordinates, half of the sum of the y coordinates) M=( (x+x)/2 , (y+y)/2 )
300
Whether the lengths of 7.3 cm, 5.02 cm and 2.1 will form a triangle
What is no, they will NOT form a triangle because the sum of the 2 shortest sides is less than the third side. or any one of the sides is NOT greater than the difference of the other two and less than the sum of the other two
300
two parts: a) the definition of an inscribed angle b) the measure of an inscribed angle that intercepts an arc that measures 30 degrees
a) What is an angle intersects a circle in two point and has it's vertex ON the circle b) what is 15 degrees (the inscribed angle measures half of the measure of the arc)
300
two parts: a) a quadrilateral with perpendicular diagonals that bisect each other b) the measure of one interior angle of a 15-gon polygon
a) what is a rhombus? 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 to a line with slope of 5/3
What is a line with slope of -3/5 (slopes are opposite and reciprocals of each other)
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.
What is 90 degrees?
400
If two isosceles trapezoids are similar AND the smaller trapezoid has bases that are 4.8 inches and 6.75 inches AND the longer base of the larger trapezoid is 32.0625 inches, then the shorter base has this length.
what is 22.8 inches? (proportion is 4.8/6.75 = x/32.0625 ; solve for x) (or the scale factor can be found by 4.8x=6.75, then multiply the scale factor times 32.0625)
400
DOUBLE JEOPARDY 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 or 2 cu. ft. (convert to all same units, then V = 1/3 Bh )
500
The reason why you know that a triangle with side lengths of 5.4”, 7.2” and 9” is definitely a right triangle.
What is because 5.4 squared + 7.2 squared = 9 squared ? Or because the sides are a multiple of a 3, 4, 5 right triangle
500
The exact area of a circle whose circumference is 20 inches
what is 100/pi square inches (31.83 is an estimate)
500
The value of x (rounded to tenths) when the four angles of a quadrilateral are given by: 2x x-5 3x-2 and 5x+19
What is x = 31.6
500
when the line from the base of an isosceles triangle bisects the vertex angle, these are the other two things that occur in the triangle.
What is : 1. the line is perpendicular to the base 2. the line bisects the base
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