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5

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

5

It is the comparison of two numbers by division.

ratio

5

A number that appears twice as the means in a proportion is known as the ______________________.

geometric mean

5

A _____________________ right triangle is a triangle whose angles measure 30, 60, and 90.

30-60

5

 What reason makes the statement "line BC is congruent to line BC" true?

Reflexive Property

10

Theorem 72: If one angle of a triangle is a right angle, then the other two angles are _________________.

acute

10

State the new proportion of 5/6 = 15/18 by adding 1.

11/6 = 33/18

10

What is the geometric mean between 9 and 4?

x = 6

10

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

10

A ____________ is an arc equal to half a circle.

semicircle
15

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

15

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

15

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.

15

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

15

What do you call a line segment that passes through the center of a circle with endpoints that lie on the circle?

diameter

20

List the measure of the angles form smallest to largest.

angle C/BCA < angle B/ABC < angle A/BAC

20

Find the value of x in the proportion x+2/5 = x-4/3.

x = 13

20

Using the Pythagorean Theorem, find the value of a, if b=4 and c=5.

a = 3

20
On level ground at A, the measure of the angle of elevation to the top of the tower is 57. If the distance from A to the bottom of the tower is 100 m, how high is the tower?

h = 153. 99

20

State the CPCTC.

Corresponding Parts of Congruent Triangles are Congruent