SOAR Geo | 5-2B Altitudes of Triangles

Multiple Choice

What does PERPENDICULAR mean?

• At a right angle (90 degrees) to a given line or surface.
• At an obtuse angle (greater than 90 degrees) to a given line or surface.
• Parallel to a given line or surface.
• At an acute angle (less than 90 degrees) to a given line or surface.

Multiple Choice

What is a VERTEX of a triangle?

• A vertex is the area inside the triangle.
• A vertex is a line segment connecting two points.
• A vertex is the length of one side of the triangle.
• A vertex of a triangle is a corner point where two sides meet.

Draw

Add marks to the figure to show that segment CD is an altitude of triangle ABC.

Multiple Choice

Which segment is an altitude?

• BZ

• AY

• YZ

• YX

Math Response

Segment AZ is an altitude of triangle XYZ.

What is $$m\angle ZAX$$ ?

Type answer here

Correct Answer: 90

Deg^°

Rad

Categorize

Options (6)

AR

PB

QC

PR

BQ

AP

Which segments are ALTITUDES?

Altitude

NOT an Altitude

Multiple Select

Segments AZ, BX, and CY are all altitudes of triangle XYZ.

Which angles are right angles?

• $$\angle ZBX$$

• $$\angle YCZ$$

• $$\angle AZX$$

• $$\angle ZAX$$

• $$\angle YZX$$

Multiple Choice

The ORTHOCENTER is the intersection of which special segments?

• The sides of the triangle.
• The angle bisectors of the triangle.
• The altitudes of the triangle.
• The medians of the triangle.

Multiple Choice

If D is the orthocenter, which type of line segments are drawn?

• Medians

• Altitudes

• Angle Bisectors

• Perpendicular Bisectors

Draw

Point G is the orthocenter of triangle ABC.

Mark the right angles.

Match

Match each type of special segment with the point which they intersect in a triangle.

• Median

• Altitude

• Perpendicular bisector

• Angle bisector

Centroid

Orthocenter

Circumcenter

Incenter

• Centroid

• Orthocenter

• Circumcenter

• Incenter