Constructions

1. What is the point of concurrency of the perpendicular bisectors of a triangle?

• Circumcenter
• incenter
• orthocenter
• centroid

In an acute triangle, the circumcenter is...

• inside the triangle

• outside the triangle

• the midpoint of the hypotenuse

Which point of concurrency is created by the 3 altitudes of a triangle?

• Circumcenter

• Incenter

• Centroid

• Orthocenter

If point P is the circumcenter, which segment is congruent to PB?

• DA

• AC

• PC

• PF

Mathematical Equivalence

ON

Answer explanation

You'll need the Pythagorean Theorem to find CG or DG, then double it for the full side.

Tags

CCSS.MATH.CONTENT.HSG.SRT.C.8

The CIRCUMCENTER is the intersection of which special segments?

• Angle Bisectors

• Perpendicular Bisectors

• Medians

• Altitudes

What point of concurrency is represented in the diagram?

• centroid

• circumcenter

• orthocenter

• centroid

What is this point of concurrency?

• Centroid

• Circumcenter

• Orthocenter

• Incenter

The circumcenter of a right triangle falls on the____________.

• vertex
• hypotenuse
• vertex
• side

Identify the center

• Circumcenter

• Incenter

• Centroid

• Orthocenter