Savvas Topic 5 Review Centers of Triangles

The figure is an example of a(n) ...

• angle bisector

• altitude

• altitude

• median

Tags

CCSS.HSG.CO.C.10

The place where all three medians meet is called the ...

• Circumcenter

• Orthocenter

• Incenter

• Centroid

Tags

CCSS.HSG.CO.C.10

Which center of a triangle is shown in the picture below?

• Circumcenter

• Orthocenter

• Incenter

• Centroid

Tags

CCSS.HSG.CO.C.10

Which center of a triangle is shown in the picture below?

• Circumcenter

• Orthocenter

• Incenter

• Centroid

Tags

CCSS.HSG.C.A.3

Look at the inscribed circle of a triangle. Select the correct step from each box to complete the construction for inscribed circle of a triangle. Step 1:​ (a)   Step 2:​ (b)   ​ Step 3: Construct the bisectors long enough, so that you see their point of intersection. Step 4: ​ (c)   Step 5: Mark the point on the side through which this perpendicular passes. Step 6: Using a compass, draw the circle with the center at the intersection point that passes through the point you obtained in Step 5.​

• Draw a triangle

• Draw a median

• Draw a square

• Construct an angle bisector

• Construct a perpendicular bisectoer

• Construct a circle

• Construct a line perpendicular to any side that pa

• Construct a perpendicular side

• Construct a circle similar to the triangle

Tags

CCSS.HSG.C.A.3

• A

• B

• C

• D

Tags

CCSS.HSG.C.A.3

• A

• B

• C

• D

Tags

CCSS.HSG.C.A.3

Name the point of concurrency shown.

• Circumcenter

• Incenter

• Supercenter

• Neither

Tags

CCSS.HSG.C.A.3

What step is missing in this inscribed circle construction?

• constructing the segment perpendicular to a side passing through the incenter

• constructing the segment parallel to a side passing through the incenter

• constructing the third angle bisector

• constructing the perpendicular bisector of one side of the triangle

Tags

CCSS.HSG.C.A.3

Which word describes the circle and the point of intersection of the 3 lines?

• inscribed and incenter

• inscribed and circumcenter

• circumscribed and incenter

• circumscribed and circumcenter

Tags

CCSS.HSG.C.A.3