Question

Describe what happens when two intersecting lines form a linear pair of congruent angles. Explain how you can get eight congruent angles when a transversal intersects two lines using atleast 3 sentences.

Answer 1

I am sorry, but the question doesnt make sense.

Answer 2

Can you please reword it.

Answer 3

Describe what happens when two intersecting lines form a linear pair of congruent angles


let x and y be those two angles

since they are a linear pair, they are supplementary, so

x+y = 180

we also know they are congruent, so y = x

this allows you to say

x+x = 180

Answer 4

I'll let you finish up

Answer 5

@jim_thompson5910 - I'm still stuck :(

Answer 6

x+x = 180

2x = 180

x = ???

Answer 7

oh, x=90

Answer 8

since y = x, we know that y = 90 as well

Answer 9

so if two lines intersect to form a congruent linear pair of angles, then those two angles must both be 90 degrees

Answer 10

right

Answer 11

Are you still confused?

Answer 12

yeah....

Answer 13

where are you stuck

Answer 14

The first rule in geometry is ALWAYS draw a sketch.

Answer 15

I just don't get how you can get eight congruent angles when a transversal intersects two lines?

Answer 16

Follow the first rule please.

Answer 17

In order to get 8 congruent angles, you need two sets of 4 angles which are all congruent to each other

look at my drawing: all four angles are congruent to each other, which leads to the fact that all 4 angles are 90 degrees

so the remaining 4 angles must be also 90 degrees for them to be congruent to the first four angles

Answer 18

see pic

Answer 19

YOU need to draw two parallel lines and a transversal for yourself to understand what the picture looks like in your own diagrammatic way, so please try to put your effort into the drawing.

Answer 20

Oh okay, I get it now... & @skullpatrol I did do the drawing just not on here because its hard to draw on this but yes i did put "the effort" (:

Answer 21

Here is a line



can you add a parallel line for me please?

Answer 22

thanks

Answer 23

now remember from my last drawing, you only get 4 congruent angles if you have intersecting lines where they are perpendicular, so let's add a line that's perpendicular to the bottom line like this

Answer 24

I've drawn 4 angles, x, y, z, and w, which are all congruent and 90 degrees

Answer 25

if you extend this new perpendicular line, you get this

Answer 26

and you can see that the perpendicular line also intersects the upper parallel line at a 90 degree angle

Answer 27

so these new four angles are also congruent to each other and the first four angles