Tools of Geometry
Triangles
Polygons
Trigonometry
Circles
100
Triangle ABC and DEF are congruent by which Postulate?
ASA: angle-side-angle
100
A triangle with all 3 sides having equal length
Equilateral triangle
100
A polygon with ALL sides and ALL interior angles being equal is called…
Regular polygon
100
For angle A, which category is side S ?
(adjacent, opposite, or hypotenuse)
OPPOSITE
100
The total number of degrees of all central angles inside a circle:
360 degrees
200
A line that intersects a segment at 90-degrees and splits it exactly in half is called…
Perpendicular bisector
200
The sum of all 3 angles of a triangle
180 degrees
200
A 6 –sided polygon is called a…
Hexagon
200
Using your calculator, find the SIN of 34º
(to 4 decimal places)
SIN 34º
0.5592
200
A chord that breaks a circle into two equal, 180-degree parts…
Diameter
300
A line that splits an angle into 2 equal adjacent angles is called…
Angle bisector
300
A triangle with only 2 sides having equal length
Isosceles triangle
300
180(n – 2)
Is the equation for finding…
The Sum of the interior angles of a polygon
300
The function of 34º that would use the ratio of A/B
A/B is ADJACENT over HYPOTENUSE,
so…
COSINE
300
A tangent line touches a circle in one point and creates a 90-degree angle with the...
Radius
400
The point in a triangle created by all three perpendicular bisectors that would allow you to draw a circle around it, touching all three corners
Incenter
400
Name the equation (a2 + b2 = c2) that allows you to find the side-length of a triangle
Pythagorean Theorem
400
What is the sum of the interior angles of a PENTAGON?
180(5 – 2) = 180(3)
= 540 degrees
400
The Law that lets you use the SINE function to find angles in a NON-right triangle…
LAW of SINES
400
An inscribed angle is equal to HOW MUCH of the arc it creates on a circle?
½ of the arc
500
A statement that immediately proves an argument false…
Like if I said "If you have hands, you're a person." and you proved my wrong by simply saying "Monkey!"
Counter-example
500
How many of the angles in a triangle can be obtuse?
ONLY ONE
500
If a regular pentagon has an interior angle sum of 540 degrees, how big is each angle?
540/5
= 108 degrees
500
How long is side A?
(to the nearest whole cm)
TAN34º = 6/A
A = 6/ TAN34º
= 9 cm
500
If AB and CB are both tangents, then AB and CB are…
CONGRUENT