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Worksheets

Altitudes and Perpendicular Bisectors

Total questions: 20

Worksheet time: 20mins

Name
Class
Date
1.

The point of concurrency of the 3 perpendicular bisectors of a triangle is called the ___?

a)

Midsegment

b)

Incenter

c)

Circumcenter

d)

Centriod

2.

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

a)

altitude 

b)

perpendicular bisector

c)

midsegment

d)

angle bisector

3.

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

a)

Circumcenter

b)

Orthocenter

c)

Incenter

d)

Centroid

4.

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

a)

Circumcenter

b)

Orthocenter

c)

Incenter

d)

Centroid

5.
a)
1
b)
2
c)
3
d)
4
6.

Identify the perpendicular bisector.

a)

TP\overline{TP}

b)

RS\overline{RS}

c)

TR\overline{TR}

d)

ST\overline{ST}

7.

Which statement about the perpendicular bisector of this segment is true?

a)

The bisector will intersect at (0,2).

b)

The slope of the bisector is 5/2.

c)

The bisector passes through (-3,2).

d)

The equation of the bisector is y=-2/5x + 2

8.

Find the equation of the perpendicular bisector of the line as graphed.

a)

3y=2x+43y=2x+4

b)

3y=2x+5-3y=2x+5

c)

2y=3x+5-2y=3x+5

d)

y=23x+4y=\frac{2}{3}x+4

9.

The CIRCUMCENTER is the intersection of which special segments?

a)

Angle Bisectors

b)

Perpendicular Bisectors

c)

Medians

d)

Altitudes

10.

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

a)

Circumcenter

b)

Orthocenter

c)

Incenter

d)

Centroid

11.

A segment joining a vertex to the opposite side so that is perpendiuclar to that side.

a)

perpendicular bisector

b)

angle bisector

c)

median

d)

altitude

12.

What type of lines are shown

a)

perpendicular bisectors

b)

medians

c)

altitudes

d)

angle bisectors

13.

13. Which line is an altitude?

a)

XY

b)

BY

c)

AZ

d)

XC

14.

The figures above are examples of ...

a)

altitudes

b)

perpendicular bisectors

c)

medians

d)

angle bisectors

15.

Segment BH is an example of which of the following?

a)

Perpendicular Bisector 

b)

Altitude

c)

Median

d)

Midsegment

16.

Select the triangle that shows the height that goes with the base shown here.

a)
b)
c)
17.

Select the triangle that shows the height for the base shown here.

a)
b)
c)
18.

Which of the following statements are true?

a)

BH\overline{BH} is perpendicular to AC\overline{AC}

b)

mABH=90°m\angle ABH=90\degree

c)

ΔCBH\Delta CBH is a right triangle

d)

AH HC\overline{AH}\ \cong\overline{HC}

e)

mCHB=90°m\angle CHB=90\degree

19.

A perpendicular segment from a vertex to the line containing the opposite side (the height of a triangle).

a)

Angle Bisector

b)

Perpendicular Bisector

c)

Altitude

d)

Midsegment

20.

A segment that is perpendicular to a side of a triangle at its midpoint

a)

Angle Bisector

b)

Perpendicular Bisector

c)

Altitude

d)

Median