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Special Centers in Triangles

Authored by Anthony Clark

Mathematics

10th Grade

CCSS covered

Special Centers in Triangles
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20 questions

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1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

What is a circumcenter?

A point where perpendicular bisectors intersect in a triangle

A point where angle bisectors intersect in a triangle

A point where medians intersect in a triangle

A point where altitudes intersect in a triangle

Tags

CCSS.HSG.C.A.3

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

What is an incenter?

A point where perpendicular bisectors intersect in a triangle

A point where angle bisectors intersect in a triangle

A point where medians intersect in a triangle

A point where altitudes intersect in a triangle

Tags

CCSS.HSG.C.A.3

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

What is a orthocenter?

A point where perpendicular bisectors intersect in a triangle

A point where angle bisectors intersect in a triangle

A point where medians intersect in a triangle

A point where altitudes intersect in a triangle

Tags

CCSS.HSG.C.A.3

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

The place where all three perpendicular bisectors meet is called the ...

Circumcenter

Orthocenter

Incenter

Centroid

Tags

CCSS.HSG.C.A.3

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

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

Circumcenter

Orthocenter

Incenter

Centroid

Tags

CCSS.HSG.C.A.3

6.

DROPDOWN QUESTION

1 min • 1 pt

Joshua is constructing a triangle with a circle inscribed in it. Each vertex of the triangle will have a line passing through it bisecting the angle. No matter where he places the third vertex, the following conditions will be true: • Each line will always bisect its corresponding vertex angle. • The three lines will always intersect at the center of the circle. • The circle will always be inscribed in the triangle. Which type of center​ (a)   exists where the three lines intersect?

INCENTER

CENTROID

CIRCUMCENTER

MIDPOINT

Tags

CCSS.HSG.C.A.3

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

If S is the incenter, what type of segments are drawn?

medians

angle bisectors

perpendicular bisectors

altitudes

Tags

CCSS.HSG.C.A.3

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