## DrPepperx3 Group Title help medal? 5 months ago 5 months ago

1. DrPepperx3 Group Title

6. Are the two triangles similar? How do you know?

2. mathstudent55 Group Title

How do you prove two triangles similar? Have you heard of AA Similarity?

3. DrPepperx3 Group Title

When 2 angles of one triangle are equal to 2 corresponding angles of the other triangle,the two triangles must be similar right?

4. esamalaa Group Title

If two triangles have two of their angles equal, the triangles are similar.

5. DrPepperx3 Group Title

So since H is 42 degrees and K is 42 degrees than they are similar by the AA similarity Theorem?

6. esamalaa Group Title

yea right

7. mathstudent55 Group Title

Right. Angles H and K have the same measure. That is one pair of corresponding congruent angles. Now you need a second pair of corresponding congruent angles to be able to use AA.

8. mathstudent55 Group Title

|dw:1393542739275:dw|

9. mathstudent55 Group Title

Look in the figure above. Angles 1 and 2 are called vertical angles. Vertical angles are congruent. Do you see in your triangles vertical angles that are congruent that could be your second pair of corresponding congruent angles?

10. DrPepperx3 Group Title

Yes s:

11. mathstudent55 Group Title

Wait. Angles H and K are not enough to prove the triangles similar. That is only one pair of congruent angles. You need a second pair.

12. mathstudent55 Group Title

For the second pair, you must use vertical angles. Can you name the two vertical angles?

13. DrPepperx3 Group Title

It only has 1 pair ? So than it cant be the AA Theorem

14. mathstudent55 Group Title

No. There are 2 pairs of congruent angles. One pair is given to you since you are told the measures of angles H and K are 42 deg. There is another pair of congruent angles, but it's not given to you as congruent. You need to use vertical angles to find the second pair.

15. mathstudent55 Group Title

Look above at my drawing of vertical angles. Do you see a similar situation with your triangles?

16. DrPepperx3 Group Title

ohhhhhh okay I understand now :) ty yes I do

17. mathstudent55 Group Title

Angles HMG and JMK are vertical angles. They are congruent. Since each angle is in one of the 2 triangles, that is the other pair of congruent angles you need to use AA Similarity.

18. chiller13 Group Title

Yes they are congruent

19. DrPepperx3 Group Title

ty @chiller13

20. DrPepperx3 Group Title

@mathstudent55 do you mind helping me with a few more? ill give you medals