More Practice with Circumcenters and Incenters

Turn to pg 13 in your notes. If you missed class on Friday please go to google classroom and complete the notes on pgs 10-12.

During this Quizizz you will be taking notes in your packet so please be sure to follow along and complete questions.

​

​More Practice with Circumcenters and Incenters

• ​The CIRCUMCENTER is the intersection of the three perpendicular bisectors of a triangle.

• The circumcenter is equidistance from the VERTICES, which means BP, AP and CP are congruent.

​

From last class

(pg 11)

Go to the next slide to answer #1.

(The following slides will ask you #2-6)

​

​Let's answer questions #1-6 on pg 13.

Poll

If W is the circumcenter what is the length of RS?

• 16

• 38

• 21

• 24

Multiple Choice

If W is the circumcenter what is the length of TQ?

• 16

• 38

• 21

• 24

Multiple Choice

If W is the circumcenter what is the length of WS?

• 16

• 38

• 21

• 24

Multiple Choice

If W is the circumcenter what is the length of QV?

• 16

• 38

• 21

• 24

Multiple Choice

If W is the circumcenter what is the length of TW?

• 17.9

• 28.8

• 31.9

• 11.6

Multiple Choice

If W is the circumcenter what is the length of WV?

• 17.9

• 28.8

• 31.9

• 11.6

Here are the answers to #1-6. If you didn't record your answers in your packet please complete it before moving on.

​

​Complete #7...

Note: Since P is the circumcenter we know that E is a midpoint and BE is congruent to CE.

(Check answer on next slide)

​Let's try #7

Complete #8.

Note: Since P is the circumcenter ​it is equidistant from the vertices of the triangle which means BP, CP and AP are congruent.

(Check answer on next slide)

​Let's try #8

​Complete #19.

Note: Since K is the incenter we know that EK, FK and DK are all angle bisectors!

(Check answer on next slide)

​Let's try #19

​Complete #20.

Note: Since K is the incenter we know that it is equidistant from the sides of the triangle, so GK, HK and IK are congruent.

(Check answer on next slide)

​Let's try #20

Monday's Homework

pg 22 #1-4 all