12/12 Unit 6 Review

Front

Given TO=7a+5 and OR=8a, find the value of 'a' and the length of TR.

Back

a=5, TR=80

Front

What is the definition of an Incenter?

Back

The Incenter is the point where the angle bisectors of a triangle intersect, and it is equidistant from all sides of the triangle.

Front

What is the definition of an Orthocenter?

Back

The Orthocenter is the point where the altitudes of a triangle intersect.

Front

What is the definition of a Centroid?

Back

The Centroid is the point where the three medians of a triangle intersect, and it is the center of mass of the triangle.

Front

What is the definition of a Circumcenter?

Back

The Circumcenter is the point where the perpendicular bisectors of the sides of a triangle intersect, and it is the center of the circumcircle.

Front

How do you find the length of a segment given two points?

Back

Use the distance formula: d = √((x2 - x1)² + (y2 - y1)²).

Front

What is the formula for the area of a triangle?

Back

Area = 1/2 * base * height.

Front

What is the relationship between the sides of a triangle and its angles?

Back

In a triangle, the larger the angle, the longer the opposite side.

Front

What is the Pythagorean theorem?

Back

In a right triangle, a² + b² = c², where c is the hypotenuse.

Front

What is the formula for the perimeter of a triangle?

Back

Perimeter = a + b + c, where a, b, and c are the lengths of the sides.