Geometry Basics
Triangles 1
Triangles 2
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
The 3 theorems for similarity
What are SSS, SAS, AA
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
The five theorems for triangle congruence
What are SSS, SAS, AAS, ASA, HL
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 point that cuts a line into 2 equal parts.
What is a midpoint
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.
300
Determine if the triangles are congruent.
Congruent
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 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
The triangles are congruent. Determine the value of <DCB.
What is 37 degrees
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
The Greek mathematician for whom the Pythagorean Theorem is named
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 ?
500
The shapes are similar, find the value of x.
What is 14
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
AB is a line with M as it's midpoint.
A = (1,6)
M = (2,4)
Find B
What is (3,2)