Relationships in Triangles

Find FG.

Tags

CCSS.HSG.CO.C.10

Tags

CCSS.7.G.B.5

Find each measure if G is the incenter of △ABC. What is the measure of ∠GAF?

Tags

CCSS.HSG.C.A.3

Find each measure if G is the incenter of △ABC. What is the length of EG? (Round your answer to the nearest hundredth if necessary)

Tags

CCSS.HSG.C.A.3

The locations of three friends' homes for the triangle shown.

What is the possible range for the distances between Emma's house and Claudia's house?

• x > 4

• x <1 0

• 4 < x < 21

• 4 < x < 10

Two groups of cyclists leave from the same starting point.

Group A rides 12 miles east, turns 45° north of east, and then rides 8 miles.

Group B rides 12 miles west, turns 30°north of west, and then rides 8 miles.

Which of the following is a true statement about who is closer to the starting point?

• Group A is closer.

• Group B is closer.

• The groups of the same distance.

• There is not enough information to tell.

Tags

CCSS.8.G.B.8

Which of the following is a true statement?

Macha is a day care provider and has three tables with children eating lunch, as shown on the grid.

Where should Macha stand to be equidistant from all three tables?

Tags

CCSS.HSG.C.A.3

Find the orthocenter of Triangle ABC.

The orthocenter is located at the point (_, _)

Tags

CCSS.HSG.C.A.3

Find the centroid of Triangle ABC.

The centroid is located at the point (_, _)