3.5 Triangle Vocabulary with Sentences

A segment that connects a vertex to the opposite sides midpoint of a triangle is called?

• Altitude

• Midpoint

• Median

• Angle Bisector

A segment drawn from a vertex to the opposite side creating a perpendicular line is called?

• Median

• Altitude

• Perpendicular Bisector

• Angle Bisector

Tags

CCSS.HSG.CO.A.1

CCSS.HSG.SRT.D.9

A line or ray that divides an angle into two congruent angles is called?

• Median

• Altitude

• Perpendicular bisector

• Angle bisector

A line, ray or segment that divides another segment into two congruent segments is called a?

• Perpendicular bisector

• Segment Bisector

• Angle Bisector

• Midpoint

A ray, line, or segment that divides another segment into two congruent segments and creates right angles is called?

• Perpendicular Lines

• Segment Bisector

• Angle Bisector

• Perpendicular Bisector

When a segment or angle is congruent to itself it is called?

• Vertical Angles

• Reflexive Property

• Midpoint

• Angle Bisector

Tags

CCSS.HSG.SRT.B.5

You are given that  $\overline{XZ}$  is a median of triangle XWY. What sentence is true?

•  $\overline{WZ}\ \cong\overline{YZ}$  because a median creates two congruent segments.
  

•  $\overline{WZ}\ \cong\overline{YZ}$WZ ≅YZ  because a segment bisector  creates two congruent segments.

•  $\overline{XW}\cong\overline{XY}$  because a median creates two congruent segments.

•  $\overline{XW}\cong\overline{XY}$XW≅XY  because a segment bisector creates two congruent segments.

What sentence is true from the given picture?

• $\overline{WZ}\cong\overline{YZ}$ because a median creates two congruent segments.

• $\overline{XZ}\cong\overline{XZ}$ because of the reflexive property
  

• $<W\cong<Y$ because of the reflexive property
  

• $\overline{WZ}\cong\overline{YZ}$WZ≅YZ because of the reflexive property
  

 $\overline{XZ}$  is the altitude in triangle XWY. What sentence is true?

•  $\overline{WZ}\cong\overline{YZ}$  because an altitude creates two congruent segments.
  

•  $<W\cong<Y$   are right angles and congruent because an altitude makes perpendicular lines which make right angles congruent.

•  $<XZW\ and\ <XZY$  are right angles and congruent because an altitude makes perpendicular lines which make right angles congruent.
  

•  $\overline{XW}\cong\overline{XY}$  because and altitude makes two congruent segments
  

What is true in the picture above?

• $<DBE\cong<CBA$ because vertical angles are congruent.
  

• $<D\cong<C$ because vertical angles are congruent.
  

• $<A\cong<E$ because vertical angles are congruent.
  

• $<A\cong<E$ because parallel lines make alternate interior angles congruent.