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Chapter 5
Chapter 6
Chapter 10
Random Formulas
100

Exterior sum of a hexagon

What is 360 degrees?

100

x = √ab

What is the geometric mean?

100

Two lines tangent to the same circle not intersect.

What is two parallel lines tangent to opposite endpoints of the same diameter?

100

A2 + B2 = C2

What is the Pythagorean Theorem?
200

Segment that connects the midpoints of two sides of a triangle

What is a mid segment?

200

Two isosceles triangles are (Always, Sometimes, or Never similar)

What is always?

200

The measure of a minor arc.

What is always less than 180 degrees?

200

Ratio of two numbers = 1.618

What is the Golden Ratio
300

Trapezoid ABCD is an isosceles trapezoid m∠C=35∘. If ∠A and ∠B are paired(the two angles are base angles), find m∠A.

What is 145 degrees?

300
Find coordinates of E so that triangle ABC is similar to triangle ADE

A(0,0), B(0,1), C(6,0), D(0,4), E(x,y)

What is (24,0)?

300

(Easy points) This is a segment that has two endpoints on a circle

What is a chord?
300

Area = 1/2 perimeter * apothem

What is the formula for the area of a regular polygon?

400

When three or more lines, rays, or segments intersect in the same point

What is concurrence?
400

Perimeters of Similar Polygons Theorem

if two polygons are similar, then the ratio of their perimeters is equal to the ratios of their corresponding side lengths

400

In the same circle or in congruent circles, 2 chords are congruent if and only if they are equidistant from the center.

Chord Congruence Theorem

400

Area = Square root of √s(s - a)(s - b)(s - c) where s is half the perimeter, or (a + b + c)/2

What is Heron's Formula?

500

Your study partner is planning to write an indirect proof to show that angle A is an obtuse angle. She states “Assume temporarily that angle A is an acute angle.” What has your study partner overlooked?

Angle A could be a right angle or a straight angle.

500

In triangle ABC, point D lies on AB, point E lies on AC, and DE is parallel to BC. If AD = 3, DB = 6, AE = 5, and EC = 10, find the ratio of the area of triangle ADE to the area of triangle ABC.

What is 1/9?

500

1. The points A, B, C, and D are on a circle and line AB intersects line CD at P. If m of angle APC = 1/2[m of arc BD - m of arc AC ), then P is ___ ( inside, on, or outside ) the circle.

What is outside?

500

A_n = 3/4 * (3/4)^(n-1)

What is the Sierpinski Formula?