Triangle Proof Terminology

Given: Z is the midpoint of WY. What can you conclude?

• WX=XY

• WZ = WY
• ∠WXZ = ∠YXZ

• WZ = ZY

Given: XZ is perpendicular to WY. What can you conclude?

• ∠WZX and ∠YZX are right angles

• WZ = WY
• ∠WXZ = ∠YXZ

• ∠WXZ and ∠YXZ are right angles

Given: ∠WZX and ∠YZX are right angles. What can you conclude?

• ∠WXZ= ∠YXZ

• ∠XWZ= ∠XYZ

• ∠WZX = ∠YZX

• ZX bisects ∠WXZ

Given: XZ is the bisector of ∠WXY. What can you conclude?

• WZ=ZY

• ∠XWZ = ∠XYZ

• ∠WZX = ∠YZX

• ∠WXZ = ∠YXZ

Given: Z is the midpoint of WY. What can you conclude?

• WX=XY

• WZ = WY
• ∠WXZ = ∠YXZ

• WZ = ZY

Given: XZ is the bisector of WY. What can you conclude?

• WX=XY

• WZ = ZY

• ∠XWZ=∠XYZ

• ZY = WY

XZ = XZ or ∠WXY=WXY . What is the correct reasoning?

• A midpoint divides a line segment into two congruent parts

• Reflexive Property

• A bisector divides a line segment into two congruent parts

• All right angles are congruent

Given: LO and MP intersect at N. What can you conclude?

• ∠LNM=∠ONP

• ∠LMN=∠OPN

• LN=NO

• MN=NP

What is SSS triangle congruence?

• When each pair of corresponding angles in two triangles are congruent.

• When one pair of corresponding sides of two triangles is congruent.

• When each pair of corresponding sides of two triangles are congruent.

• When two triangles are not the same.

Match each term to the correct definition/reasoning.

• Midpoint

• Form congruent vertical angles

• Reflexive Property

• When a side or angle is equal to itself

• Bisector

• A point that divides a line segment into two congruent parts

• Perpendicular lines

• 1.) Form right angles

  2.) All right angles are congruent

• Intersecting lines

• A line that divides a line segment or angle into two congruent parts