5.2b - Altitudes

Get out your notes on 5.2b - Altitudes

Complete the warm-up at the top of the page

Multiple Select

 $\overline{AB}$   is a....

(multiple answers can be selected)

• median

• angle bisector

• perpendicular bisector

• altitude

Multiple Select

 $\overline{AB}$   is a....

(multiple answers can be selected)

• median

• angle bisector

• perpendicular bisector

• altitude

Multiple Select

 $\overline{AB}$   is a....

(multiple answers can be selected)

• median

• angle bisector

• perpendicular bisector

• altitude

Multiple Choice

When can the altitude of a triangle be located outside the triangle?

• acute triangle

• right triangle

• obtuse triangle

Multiple Select

If $\overline{AF}$  is an altitude of  $\Delta ABC$  , then...

•  $\overline{AF}\perp\overline{BC}$  

• BF = FC

•  $\angle AFC$  is a right angle

•  $\angle BAF\cong\angle FAC$  

•  $m\angle1=m\angle2=90\degree$  

Fill in the Blanks

What is the value of x?

Now, let's recap some key things...

Multiple Choice

In a right triangle, the orthocenter is located...

• inside the triangle

• outside the triangle

• at the vertex of the right angle

• at the midpoint of the hypotenuse

Multiple Choice

The three ALTITUDES of a triangle intersect at the point called a...

• centroid

• incenter

• circumcenter

• orthocenter

Multiple Select

If $\overline{AD}$  is a median in  $\Delta ABC$  , then...

• D is the midpoint of  $\overline{BC}$  

•  $\overline{CD}\cong\overline{DB}$  

• CD = DB

•  $\overline{AD}\perp\overline{BC}$  

•  $m\angle ADC=90\degree$  

Multiple Choice

The three MEDIANS of a triangle intersect at the point called a...

• centroid

• incenter

• circumcenter

• orthocenter

Multiple Select

If $\overline{BD}$  is an altitude in  $\Delta ABC$  , then...

• D is the midpoint of  $\overline{AC}$  

•  $\overline{CD}\cong\overline{DA}$  

• CD = DA

•  $\overline{AC}\perp\overline{BD}$  

•  $m\angle BDC=90\degree$  

Now, complete 5.2 Practice

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