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
Will the lengths of 7.3 cm, 5.02 cm and 2.1 form a triangle?
No, they will NOT form a triangle because the sum of the 2 shortest sides is less than the third side.
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? [(n-2)180/n]=[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. (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 (32 and 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 a volume of 288 cu. inches? 1. change 3 ft to 36 inches, 2. area of base (the right triangle) is 1/2(6•8) or 24, 3. volume is 1/3(area of base)(height) = 1/3(24)(36)
500
TWO PARTS: a) the definition for pi as it was "discovered" by ancient mathematicians (not looking for any decimal approximation of pi - don't say 3.14159....), b) the Greek mathematician for whom the Pythagorean Theorem is named
a) What is circumference of a circle divided by it's diameter?, b) Who is Pythagoras?
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 What is the Pythagorean theorem?
500
The exact area of a circle whose circumference is 20 inches
What is 100/pi 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
Two of the three things listed below occur when a line bisects the vertex angle of an isosceles triangle. Which does NOT? 1) the line is a perpendicular bisector of the base, 2) the line is also a vertex, 3) the line is a line of symmetry for the triangle
What is #1 & #3: 1. the line is a perpendicular bisector of the base 3. the line is a line of symmetry for the triangle
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