Unit 2

Question 1

Hypotenuse

Answer 1

The greatest side length in a right triangle, across from 90* angle.

Question 2

Pythagorean Theorem

Answer 2

A^2+b^2=c^2

Question 3

Similar figures (~)

Answer 3

Different scale, similar proportions

Question 4

The sides of a similar right triangle will be

Answer 4

Proportional

Question 5

The angles of a right triangle will be

Answer 5

Added to 180

Question 6

Altitude

Answer 6

Height of a perpendicular line?

Question 7

Explain the Bird Tree Method

Answer 7

Find “Crows foot” (altitude), Where does tree (altitude) fall, altitude/lenght1=length2/altitude

Question 8

Reference angles can be the - angles in a right triangle

Answer 8

Acute

Question 9

sin(theta)=

Answer 9

Opposite/hypotenuse

Question 10

Cos(theta)

Answer 10

Adjacent/hypotenuse

Question 11

Tan(theta)

Answer 11

Opposite/adjacent

Question 12

When finding the side of a right triangle use (trig)

Answer 12

Cross multiply

Question 13

When finding the angle measure (when given lengths) (trig)

Answer 13

Inverse trig (Ex: sin^-1(opposite/hypotonuse))

Question 14

Pythagorean triple

Answer 14

Side lengths of a right triangle

Question 15

Law of cosines

Answer 15

c^2=a^2+b^2-2ab*cosC

Question 16

When can we use law of cosines?

Answer 16

On any triangle, when we know three sides of an acute triangle, or to find the third side of an acute triangle, only when the angle is between the 2 sides (AND RIGHT)

Question 17

Law of sines

Answer 17

Sin A/a = sinB/b = sinC/c

Question 18

How can you find the measures of the sides and angles of a isosceles right triangle?

Answer 18

The hypotenuse is X times the square root of two, and the two other side across from the 45° angles are equal, x.

Question 19

How can you rationalize a radical in a denominator?

Answer 19

Do you multiply the fraction by a fraction that has the radical number on the bottom as a numerator and the denominator

Question 20

How can you find the side length of a 30 60 90 triangle?

Answer 20

The side opposite of the 60° angle is X times radical of three, the hypotenuse is two times X, and the leftover side it’s just x

Question 21

When are sine and cosine equal?

Answer 21

When their angles are complementary

Question 22

Medians

Answer 22

A segment connecting any vertex to the opposite midpoint

Question 23

Centroid

Answer 23

Where the medians meet

Question 24

What ratio does the centroid divide medians into

Answer 24

2:1

Question 25

Altitude

Answer 25

A segment from any vertex perpendicular to the line containing the opposite side. They do not bisect midpoint.

Question 26

Orthocenter

Answer 26

Where the altitudes meet (ortho means right)

Question 27

Incenter

Answer 27

Where the angle bisectores (segments) meet

Question 28

Perpendicular bisectors

Answer 28

A segment that bisects a side and is perpendicular to it

Question 29

Circumeter

Answer 29

Where the perpendicular bisectors meet