Question

Hello!
I am here with a few geometry questions today.

For these 3 problems the answer is true or false.

When you answer this question please be sure to explain your answer and show work.
Good luck! Have a great day!

Answer 1

Answer:

• True, True, False

Step-by-step explanation:

The triangle ACB is isosceles as AC = BC

CQ is the perpendicular bisector of angle C.

The first two choices are true.

Lets verify the third one:

• m∠QCB = m∠QCA
• 3x + 7 = 4x - 8
• 4x - 3x = 7 + 8
• x = 15

m∠QCB = 4*15 - 8 = 52° ≠ 26°

This is false

Answer 2

Answer:

True, true, and then false.

Step-by-step explanation:

For the first one, line CQ does bisect angle ACB. Bisect means to cut in half or split directly down the middle.

For the second one, CQ is perpendicular. You know when an angle is perpendicular by the 90° right angle (or small square in the corner).

Finally, the last problem you just have to simplify and add up all the angles in one half of the triangle. If you do add them up, angle QCB is not 26°.

I hoped this helped you! :D *I AM ALWAYS WILLING TO HELP YOU WITH OTHER PROBLEMS!

With warm regards,

Philip