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
Which trig function uses the adjacent side and the hypotenuse?
What is cosine?
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
Determine the height of a tree if a rangefinder is 8 feet away, on the ground, measuring an angle of elevation of 45 degrees.
What is 8 feet?
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
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
When these intersect outside of the circle, they create congruent segments.
What are tangents?
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
Determine the length of a 6 foot tall mans shadow, if he is 12 feet a lamppost that is 12 feet tall.
What is 12 feet long.
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 (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
These are the 3 ways to prove that triangles are similar
What are AA~, SSS~, and SAS~?
500
You would use this formula to find the area of a trapezoid.
What is 1/2(b1+b2)(h)
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 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
John is standing far away from a giant skyscraper, with an angle of elevation equal to 18 degrees. Jane is standing 2500 feet behind him, and her angle of elevation is 15 degrees. How tall is the building (to the nearest tenth)?