1115
What property of inequality states that if a<b and b<c, then a<c; or, if a>b and b>c, the a>c?
Transitive Property
It is the comparison of two numbers by division.
ratio
A number that appears twice as the means in a proportion is known as the ______________________.
geometric mean
A _____________________ right triangle is a triangle whose angles measure 30, 60, and 90.
30-60
What reason makes the statement "line BC is congruent to line BC" true?
Reflexive Property
Theorem 72: If one angle of a triangle is a right angle, then the other two angles are _________________.
acute
State the new proportion of 5/6 = 15/18 by adding 1.
11/6 = 33/18
What is the geometric mean between 9 and 4?
x = 6
Theorem 96: If the acute angles of a right triangle have measure of 30 and 60, then the hypotenuse is twice as long as the shorter leg, and the longer leg is _______________ times the length of the ___________________ leg.
square root of 3, shorter
A ____________ is an arc equal to half a circle.
What theorem states that if two sides of one triangle are congruent to the two sides of another triangle but the included angles are not congruent, then the triangle that has the larger included angle has the longer third side?
Theorem 74 / Hinge Theorem
Find the length of YC of triangle ABC if AX/XB = AY/YC and AX=5, XB=15, AY=1, and YC=x.
x = 3
State the Pythagorean Theorem.
The square of the length of the hypotenuse of a right triangle is equal to the sum of the squares of the lengths of the other two sides.
Find a and b if c is equal to 8. (Use the 30-60 Right Triangle Theorem)
a = 4, b = 4 square root of 3
What do you call a line segment that passes through the center of a circle with endpoints that lie on the circle?
diameter
List the measure of the angles form smallest to largest.
angle C/BCA < angle B/ABC < angle A/BAC
Find the value of x in the proportion x+2/5 = x-4/3.
x = 13
Using the Pythagorean Theorem, find the value of a, if b=4 and c=5.
a = 3
h = 153. 99
State the CPCTC.
Corresponding Parts of Congruent Triangles are Congruent