Geometric Ratios unit 5

Question 1

what does a transveral mean

Answer 1

its a line that goes through the 2 parallel lines

Question 2

when theres 2 parallel lines and a transversal how many different angles are there

Answer 2

theres 2 differnt angles out of the 8 total (4 of each same )

Question 3

when theres 2 unparallel lines with a transversal how many different angles are there

Answer 3

4 differnt angles out of total 8 angles there

Question 4

alternate interior angles meaning

Answer 4

located between the 2 paralell lines by transversal (both angles inside and diagonal from eachother)

Question 5

alternate exterior angles meaning

Answer 5

located outside parallel lines by transversal (both angles on outiside and diagonal from eachother)

Question 6

interior angle meaning

Answer 6

located on inside parallel lines by transversal and vertical from eachother (inside vertical)

Question 7

exterior angle meaning

Answer 7

located on outside parallel lines by transversal and vertical(outside vertical)

Question 8

corrosponding angles meaning

Answer 8

one interior and one exterior angle both on same side
(shape looks like F or F backwards )

Question 9

co-interior angles meaning

Answer 9

interior angles on same side looks like two c on same side one up one down

also is supplementry when lines parallel (add up 180°)

Question 10

vertically oppisite angles meaning

Answer 10

whenever 2 lines intersect theyre oppisite

Question 11

suplementry angles meaning

Answer 11

2 angles add up to 180 degrees

Question 12

complementry angles meaning

Answer 12

two angles add up to 90 degrees

Question 13

how do you prove two angles equal with parallel lines

Answer 13

1- pick one angle and show another angle its equal to
2- then show how the new angle is equal to the other angle
3- since both angles are equal transitive property

Question 14

determine angle measures on triangle

Answer 14

use the angle relationships to show how they are equal or is complementry 90 degrees and 180 if supplementry

Question 15

how to prove two angles are equal in a triangle

Answer 15

1- write out 2 givens
2- then identify is sss, asa, sas and what you need to get one of those relationships
(if theres a shared side then side= side then thatll work ofr 3rd statment if cant find)
3- then both triangles are congruent bc asa sas sss
4- then final statment bc correspondoing angles/sides equal when triangle congruent

Question 16

how to determine angle measure involving regular polygon

Answer 16

180 . (n-2) /n

Question 17

how to prove congruence

Answer 17

sss, asa, sas

Question 18

how to prove number of sides in a regular polygon with given interior angle

Answer 18

use the 180 . (n-2) / n
then write = to the interior sum and then it would be angle n= 180n+360 take away 180 then divide n by 360

Question 19

how to algebrically determine x inside a triangle

Answer 19

write angle then write = other angle if the angles are equal to eachother
- sub smaller x to larger side then same other value then divide/ multiply to get rid x

write angle + other angle = 180
- add like terms on side then sub/add non varible to 180 then divide/ multiply to get rid x

Question 20

bisect meaning

Answer 20

Divide into two equal parts

Question 21

Perpendicular
Bisector

Answer 21

divide into two 90 degree angles (right angles )

Question 22

Congruent

Answer 22

same size and shape

Question 23

Isosceles Triangle

Answer 23

has two congruent sides and two congruent angles (two sides and angles the same)