Geometry Vocab

Front 1

Leg rule

Back 1

Hypotenuse/leg= leg/segment of hypotenuse adjacent to the leg

Front 2

Altitude rule

Back 2

Segment1/altitude= altitude/segment2

Front 3

Geometric mean

Back 3

The positive number m where the proportion a/m=m/b is true.

Front 4

Pythagorean theorem

Back 4

In a right triangle, the sum of the squares if the measures of the legs equals he square of the measure of the hypotenuse.

Front 5

List the four Pythagorean triples

Back 5

3-4-5
5-12-13
7-24-25
8-15-17
6-8-10
10-24-26
14-48-50
16-30-34
9-12-15

Front 6

State the rues that determine whether or not a triangle is acute right or obtuse

Back 6

If a2+b2>c2 then triangle is acute
If a2+b2=c2 then triangle is right
If a2+b2<c2 then triangle is obtuse

Front 7

State the properties of a 45-45-90 triangle

Back 7

To get the diagonal, you attach a square root 2
If a side length is given with a square root 2 included, you double the whole # and leave off the square root 2 # which = the diag.
If a whole # is given for the diag. Divide the whole # in half and attach a square root 2

Front 8

State the properties of 30-60-90 triangles

Back 8

The side that the alt. bisects gets the leg # split in half.
Th small split on half side gets a sqare root 3 attached to it to = the alt.
When a whole # is the alt. 2/3 of the alt. makes the long leg whole # and gets. Square root 3 attached
The whole # is split in half to form the two base segments

Front 9

State the 3 trig ratios

Back 9

Sine=O/H
Cosine=A/H
Tangent=O/A

Front 10

State the three tig ratio's definitions

Back 10

Sine= opposite leg/ hypotenuse
Cosine= adjacent leg/ hypotenuse
Tangent=opposite leg/ adjacent leg