Unit 5 Words And Such

Question 0

The ruler postulate

Answer 0

Using math to prove length

Question 1

How many midpoints does each triangle have

Answer 1

3

Question 2

For the ruler postulate. The length between the 2 midpoints…

Answer 2

Is half the size of its parallel base.

Question 3

What are the 2 things you need to prove with the ruler postulate in this lesson

Answer 3

-That the length between the 2 midpoints is half of the length of the base -that the 2 midpoints make a parallel line with the base.

Question 4

How can you prove the length of the midpoints is half of the base if it’s flat.

Answer 4

By subtraction

Question 5

How can you prove the length of the midpoints is half of the base if it’s NOT FLAT

Answer 5

By using the distance formula

Question 6

What is the distance formula

Answer 6

D=square root of (x2-x1)^2+(y2-y1)^2

Question 7

How do you prove it is paralel

Answer 7

Getting the same slope

Question 8

Slope formula

Answer 8

Y2-y1 —— X2-x1

Question 9

Midsegments

Answer 9

Paralel to 1/2 the length of the concurrent side

Question 10

Perpendicular bisector

Answer 10

Concurrent at circumcenter -equidistant from vertices -center of a circumscribed circle(touches all sides)

Question 11

Angle bisector

Answer 11

Concurrent at incenter -equidistant from each side -center of an inscribed circle(touches all sides)

Question 12

Median

Answer 12

Concurrent at centroid -2/3 of the way from each vertex -balancing point(center of gravity)

Question 13

altitude

Answer 13

Concurrent at orthocenter Used to find area as height

Question 14

Perpendicular bisector therum

Answer 14

Question 15

Converse of the perpendicular bisector therum

Answer 15

Question 16

Angle bisector therum

Answer 16

Question 17

ConVerse of the angle bisector theorem

Answer 17