6.1 & 6.2 Review

Front

What is the length of segment BG if it is given that BG = 16?

Back

The length of segment BG is 16.

Front

What is the point called that is equidistant from the vertices of a triangle?

Back

Circumcenter.

Front

If m<LJK = 28°, what is m<MLK in a congruent triangle using HL?

Back

m<MLK = 124°.

Front

What is the distance OP if P is the incenter of triangle JKL and OP = 8?

Back

The distance OP is 8.

Front

What is the point of concurrency in a triangle that is the intersection of angle bisectors?

Back

Incenter.

Front

Define the term 'circumcenter' in the context of triangles.

Back

The circumcenter is the point where the perpendicular bisectors of the sides of a triangle intersect, and it is equidistant from the vertices.

Front

What is the significance of the incenter in a triangle?

Back

The incenter is the point where the angle bisectors of a triangle intersect, and it is the center of the inscribed circle.

Front

Explain the concept of congruent triangles using the HL theorem.

Back

The HL (Hypotenuse-Leg) theorem states that if the hypotenuse and one leg of a right triangle are equal to the hypotenuse and one leg of another right triangle, then the two triangles are congruent.

Front

What is the relationship between the circumcenter and the circumcircle of a triangle?

Back

The circumcenter is the center of the circumcircle, which is the circle that passes through all three vertices of the triangle.

Front

How do you find the inradius of a triangle?

Back

The inradius can be found using the formula r = A/s, where A is the area of the triangle and s is the semi-perimeter.