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Worksheets

Altitudes in Triangles

Total questions: 20

Worksheet time: 20mins

Name
Class
Date
1.

In triangle XYZXYZ , XMXM is an altitude from XX to YZYZ . Which of the following statements is true?

a)

XMXM is the longest side of the triangle

b)

XMXM is parallel to YZYZ

c)

XMXM is perpendicular to YZYZ

d)

XMXM bisects YZYZ

2.

In triangle PQRPQR , PSPS is an altitude. If PQ=10PQ = 10 cm and QR=8QR = 8 cm, what is the length of PSPS if PR=6PR = 6 cm?

a)

4.8 cm

b)

5.6 cm

c)

6.4 cm

d)

7.2 cm

3.

In triangle LMNLMN , LPLP is an altitude. If LM=8LM = 8 cm, MN=6MN = 6 cm, and LN=10LN = 10 cm, what is the length of LPLP ?

a)

4.8 cm

b)

5.2 cm

c)

6.0 cm

d)

7.2 cm

4.

What is the measure of ∠HKG?

a)

60°

b)

180°

c)

90°

d)

360°

5.

HK is an altitude in ΔGHI.Find the value of x.

a)

90

b)

21

c)

24

d)

43.5

6.
a)

9

b)

10

c)

8

d)

12

7.

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

8.

The altitudes of a triangle intersect at the _________________________.

a)

Centriod

b)

Circumcenter

c)

Incenter

d)

Orthocenter

9.

What type of lines are shown

a)

perpendicular bisectors

b)

medians

c)

altitudes

d)

angle bisectors

10.

13. Which line is an altitude?

a)

XY

b)

BY

c)

AZ

d)

XC

11.

The ORTHOCENTER is the intersection of which special segments?

a)

Angle Bisectors

b)

Perpendicular Bisectors

c)

Medians

d)

Altitudes

12.

The figures above are examples of ...

a)

altitudes

b)

perpendicular bisectors

c)

medians

d)

angle bisectors

13.

The orthocenter can be outside the triangle if the triangle is ...

a)

obtuse

b)

acute

c)

iscolese

d)

right

14.

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

a)

Circumcenter

b)

Orthocenter

c)

Incenter

d)

Centroid

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 for the base shown here.

a)
b)
c)
17.

Which of the following statements are true?

a)

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

b)

m∠ABH=90°m\angle ABH=90\degree

c)

ΔCBH\Delta CBH is a right triangle

d)

AH‾ ≅HC‾\overline{AH}\ \cong\overline{HC}

e)

m∠CHB=90°m\angle CHB=90\degree

18.

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

a)
b)
c)
19.

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

a)
b)
c)
20.

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

a)

Circumcenter

b)

Orthocenter

c)

Incenter

d)

Centroid