Geometry Basics
The EXACT length of a leg in a right triangle if one leg measures 12cm and the hypotenuse is 18cm (length must be an integer or in radical format)
What is 6 times the square root of 5
The EXACT diameter of a circle if the circle's circumference is 75 pi inches.
C=2(pi)(r) or C=(Pi)(d)
a) what is 75 inches?
A parallelogram with four right angles
What is either a square or a rectangle?
The sum of the interior angles of a 32 sided polygon
What is 5,400 degrees? (n-2)(180) or here, 30*180
Two lines that intersect at a 90 degree angle
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?
The location of the vertex of any central angle in a circle?
What is the center of the circle?
a quadrilateral that is both equiangular and equilateral
What is a square?
The value of x when the angles in a triangle are 4x+27, 85, and 64.
What is x=1?
Two lines that do not intersect but do not lie in the same plane
What are skew lines?
Acute, Obtuse, or Right Triangle: Side lengths of 5, 6, and 7.
What is an acute triangle?
How you know an angle is an inscribed angle in a circle (draw a picture)
What is the angle intersects a circle in two points and the angle's vertex is ON the circle (draw a picture)
The definition of a regular polygon
What is a polygon where all sides are equal and all interior angles are equal
This is the distance between (-9, 3) and (1, -5)
Give answer in simplified radical form.
What is 2 square root of 41?
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
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)
The sum of all of the angles in a quadrilateral
What is 360 degrees?
The base of a 30-ft ladder is 6ft away from the wall. Find the angle of elevation from the ground to the ladder.
What is 78.463 degrees?
A part of a line that starts at A and continues infinitely in one direction.
What is a ray?
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 (NO DECIMALS)
C=2(pi)r A=(pi)(r^squared)
what is 100/pi square inches
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
A lifeguard is in an observation chair and spots a person who needs assistance. The angle of depression to the person is 22o. The eye level of the lifeguard is 10 feet above the ground. What is the horizontal distance between the lifeguard and the person, rounded to the nearest foot?
What is 25 feet?