Congruence vocabulary review

Congruence vocabulary review

by JUSTIN COTTON

​Angle side angle

​We can prove that two triangles are congruent if we know that two angles of one triangle and the side between those two angles, are respectively equal to the two angles and the side between the angles of another triangle, then the two triangles will be congruent to each other by ASA rule.

Multiple Choice

• Congruent by ASA
• Congruent by SAS
• Congruent by SSS
• Not Necessarily Congruent

Multiple Choice

ΔTVS ≅ Δ_____ by _____

• ΔTVU , ASA

• ΔVTU , ASA

• ΔTVU , SAS

• Cannot Be Determined

Multiple Choice

Identify the correct triangle congruence theorem.

• ASA

• AAS

Multiple Choice

Identify the correct triangle congruence theorem.

• ASA

• AAS

​Side Angle Side

​

​When we know two sides and an angle between the sides we know that two triangles are congruent.

Multiple Choice

Which triangle congruence theorem can be used to prove the triangles are congruent?

• SSS
• ASA
• AAS
• SAS

Multiple Choice

Which triangle congruence theorem can be used to prove the triangles are congruent?

• AAS
• SSS
• SAS
• SSA

Multiple Choice

Which triangle congruence theorem can be used to prove the triangles are congruent?

• SSS

• SAS

• ASA

• NONE

​Side Side Side

​We can prove that two triangles are congruent if they have three pairs of congruent sides.

Multiple Choice

Are these triangles congruent by SSS?

• Yes

• NO

Multiple Choice

Are these triangles congruent by SSS?

• Yes

• No

Multiple Choice

Which triangle congruence theorem can be used to prove the triangles are congruent?

• SAS
• SSS
• ASA
• HL

Perpendicular Bisector Theorem

The Perpendicular Bisector Theorem 

states that a point is on the perpendicular bisector of a segment if and only if it is equidistant from the endpoints of the segment.

B is on the perpendicular bisector of AC if and only if AB≅BC

.

Example

Since UV=VW=54, V is equidistant from the endpoints of UW. Therefore, V lies on the perpendicular bisector of UW by the Perpendicular Bisector Theorem.

Since V is on the perpendicular bisector of UW and ∠VXW is a right angle, VX is the perpendicular bisector of UW.

So, UX=WX=35 and UW=2(35)=70.

Fill in the Blanks

Multiple Choice

Find HG

• 28
• 14
• 41
• 7