# Worksheet: Altitudes of Triangles

In this worksheet, we will practice identifying altitudes of a triangle and using their properties to find a missing length.

Q1:

Where is the intersection of the altitudes of this triangle? • Aoutside the triangle
• Bat vertex
• Cinside the triangle
• Dat vertex

Q2:

Which line segment is the altitude of triangle which is perpendicular to ? • A
• B
• C

Q3:

Which line segment is the altitude of triangle which is perpendicular to ? • A
• B
• C

Q4:

Which line segment is the altitude of triangle which is perpendicular to ? • A
• B
• C

Q5:

Which line segment is the altitude of triangle which is perpendicular to ? • A
• B
• C

Q6:

Which line segment is the altitude of triangle which is perpendicular to ? • A
• B
• C

Q7:

How many altitudes does this triangle have? Q8:

Which line segment is the altitude of triangle which is perpendicular to ? • A
• B
• C

Q9:

Draw a triangle in which and . Draw the perpendicular bisectors of each of the three sides. Are the perpendicular bisectors concurrent?

• Ayes
• Bno

Q10:

Complete the following statements regarding the position of the intersection point of different triangles’ altitudes.

The concurrency point of an acute triangle’s altitudes lies .

• Aon one of the triangle’s sides
• Bon a specific vertex
• Coutside the triangle
• Dinside the triangle

The concurrency point of an obtuse triangle’s altitudes lies .

• Aon the obtuse angle vertex
• Bon the longest side
• Cinside the triangle
• Doutside the triangle

The concurrency point of a right triangle’s altitudes lies .

• Aon the hypotenuse
• Boutside the triangle
• Cinside the triangle
• Don the right angle vertex

Q11:

True or False: A right triangle has 0 altitudes.

• ATrue
• BFalse