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Triangle Special Segments Worksheet

Explore and identify the properties of medians, altitudes, angle bisectors, and perpendicular bisectors in triangles.

Grade 10 Math GeometryTriangle Special Segments
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Includes

Multiple ChoiceFill in the BlanksTrue / False2 Short AnswerMatching

Standards

CCSS.MATH.CONTENT.HSG.CO.C.10

Topics

geometrytrianglesspecial segmentsgrade 10
8 sections · Free to use · Printable
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Triangle Special Segments

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Date:

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Read each question carefully and answer to the best of your ability. Show all your work for full credit.

1. Which special segment connects a vertex of a triangle to the midpoint of the opposite side?

a

Altitude

b

Median

c

Angle Bisector

d

Perpendicular Bisector

2. The intersection of the three medians of a triangle is called the  .

3. An altitude of a triangle is a segment from a vertex   to the opposite side.

4. The circumcenter is equidistant from the sides of the triangle.

T

True

F

False

5. Draw an obtuse triangle and construct one of its altitudes. Label the vertices and the altitude.

ABC

6. In triangle ABC, if AD is a median to BC and BC = 20 units, what is the length of BD?

ABCD

Match each definition with the correct special segment.

7. Equidistant from the vertices

 

a. Incenter

8. Intersection of angle bisectors

 

b. Centroid

9. Intersection of medians

 

c. Circumcenter

10. Intersection of altitudes

 

d. Orthocenter