Which type of triangle would have its orthocenter on the triangle?

• right

• obtuse

• scalene

• equilateral

Tags

CCSS.HSG.C.A.3

Which is the point of intersection of the medians of a triangle?

• orthocenter

• centroid

• incenter

• circumcenter

Tags

CCSS.HSG.CO.C.10

Three or more lines that contain the same point are called:

• parallel

• perpendicular

• current

• concurrent

Tags

CCSS.HSG.CO.A.1

The incenter of a triangle can be located by finding the intersection of the:

• altitudes

• medians

• perpendicular bisectors of the three sides

• angle bisectors

Tags

CCSS.HSG.C.A.3

In the diagram of ΔABC below, Jose found centroid P by constructing the three medians. He measured and found it to be 6 inches.

If PF = x, which equation can be used to find x?

• x + x = 6

• 2x + x = 6

• 3x + 2x = 6

• x + ⅔ x = 6

Tags

CCSS.HSG.CO.C.10

Which of the following points in the diagram below is the incenter of triangle ABC?

• D

• O

• E

• C

Tags

CCSS.HSG.C.A.3

Find the coordinates of the center of the circle and the measure of the radius:

(x + 1)² + y² = 121

• C: (1, 1), r =11

• C: (-1, 0), r = 11

• C: (1, 0), r =121

• C: (1, 0), r = 121

Tags

CCSS.HSG.GPE.A.1

Find the standard form, center, and radius of the following circle:

x² + 8y + y² -6y -2 = 0

• (x + 4)² + (y -3)² = 27

• (x + 4)² + (y -3)² = 2

• (x + 4)² + (y + 3)² = 2

• (x + 4)² + (y + 3)² = 27

Tags

CCSS.HSG.GPE.A.1

Given that point S is the incenter of right triangle PQR and angle RQS is 30°, what are the measures of angles RSQ and RPQ?

• <RSQ = 105^o, <RPQ = 30^o

• <RSQ = 30^o, <RPQ = 105^o

• <RSQ = 30^o, <RPQ = 15^o

• <RSQ = 60^o, <RPQ = 30^o

Tags

CCSS.HSG.C.A.3

If circle O is circumscribed about triangle ABC, point O is what point of the triangle?

• orthocenter

• circumcenter

• incenter

• centroid

Tags

CCSS.HSG.C.A.3