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 Orthocenter?

Back

The orthocenter is the point where the three altitudes of a triangle intersect.

Tags

CCSS.HSG.CO.C.10

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 also the center of mass.

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

What is the definition of an Incenter?

Back

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

Tags

CCSS.HSG.C.A.3

Front

How do you find the length of TR if TO=7a+5 and OR=8a?

Back

Set TO equal to OR: 7a + 5 = 8a, solve for 'a', then substitute 'a' back to find TR.

Front

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

Back

The altitudes of a triangle are perpendicular segments from a vertex to the opposite side, and they can be used to find the area of the triangle.

Tags

CCSS.HSG.CO.C.10

Front

What is the formula for the area of a triangle using the base and height?

Back

Area = 1/2 * base * height.

Tags

CCSS.6.G.A.1

Front

What is the significance of the circumcenter in a triangle?

Back

The circumcenter is equidistant from all three vertices of the triangle, making it the center of the circumcircle.

Tags

CCSS.HSG.C.A.3

Front

What is the significance of the incenter in a triangle?

Back

The incenter is equidistant from all three sides of the triangle, making it the center of the incircle.

Tags

CCSS.HSG.C.A.3