Geometry Basics
Sum of the exterior angles of any polygon.
What is 360?
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 )
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)
Example of Independent Events
What is *answer may vary*
The sum of the interior angles of a 32 sided polygon
What is 5,400 degrees? (n-2)(180) or here, 30*180
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?
When triangle NED is congruent to triangle RWO, this is the angle that corresponds to angle WRO.
What is angle END?
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?
Example of mutually exclusive events
What is *answers may vary*
When triangle NED is congruent to triangle RWO, this is the angle that corresponds to angle WRO
What is angle END?
The formula to find the sum of the exterior angles of a polygon.
What is (n-2) x 180?
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.
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)
Find the number of outcomes: Picking an outfit out of 3 pairs of pants, 4 pairs of shoes, 6 shirts, and 2 jackets.
What is 144?
This is the distance between (-9, 3) and (1, -5)
What is the square root of 164? (about 12.8)
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)
Special Right Triangle Rules for both:
a) 45-45-90
b) 30-60-90
a) What is l, l, l radical 2
b) s, s radical 3, 2s
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?
Find the probability: drawing a card from a standard deck that is a king OR an ace.
What is 8/52?
The volume of a triangular pyramid with height of 24 in, base is a right triangle with dimensions of 6 in, 8 in and 10 in.
what is 192?
a) reflection in the y-axis
b) rotation 180*
c) dilation by scale factor of 4
a) what is (-x, y)
b) what is (-x, -y)
c) what is (4x, 4y)
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 ?
The exact area of a circle whose circumference is 20 inches
what is 100/pi square inches
Find the probability: Drawing a 2 OR a heart from a deck of cards.
What is 16/52?
Formula for the area of a regular polygon (with what each variable stands for)
What is A= 1/2ans
a=apothem
n=number of sides
s=side measure