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

Tags

CCSS.HSG.CO.C.10

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.

Tags

CCSS.HSG.C.A.3

Front

What is the definition of an Orthocenter?

Back

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

Tags

CCSS.HSG.C.A.3

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.

Tags

CCSS.HSG.CO.C.10

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.

Tags

CCSS.HSG.C.A.3

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).

Tags

CCSS.HSG.GPE.B.7

Front

What is the formula for the area of a triangle?

Back

Area = 1/2 * base * height.

Tags

CCSS.6.G.A.1

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.

Tags

CCSS.HSG.CO.C.10

Front

What is the Pythagorean theorem?

Back

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

Tags

CCSS.8.G.B.8

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.

Tags

CCSS.3.MD.D.8