Triangle Interiors Quiz

Find the value for x and the length of DB. How can they be proven?

What is the measure of BAC? How do you know?

Where is the circumcenter located for the triangle with the given vertices? (inside, outside, or on the triangle) X(−2, 1), Y(2,−3), Z(6,−3).

Find the coordinates of the centroid of the triangle with the given vertices. A(−10, 3), B(−4, 5), C(−4, 1).

Describe the possible lengths of the third side of the triangle if the lengths of the other two sides are 4 inches and 8 inches.

Given triangles RST and RQT share a side RT. If RQ = RS and m∠QRT>m∠SRT, then how does QT compare to ST?

A photographer is trying to take a picture of a large group, but can't fit everyone in the picture. Give at least two ways to address the problem and an explanation for why each one works.