# Worksheet: Proving Triangles' Congruence Using ASA and AAS Criterions

Q1:

Two triangles have two corresponding angles and one corresponding side that are equal. Are the two triangles congruent?

• A yes
• B no

Q2:

Determine whether the triangles in the given figure are congruent, and, if they are, state which of the congruence criteria proves this.

• A congruent,
• B congruent,
• C not congruent
• D congruent,

Q3:

Which congruence criteria can be used to prove that the two triangles in the given figure are congruent?

• A SAS
• B SSS
• C ASA

Q4:

Which congruence criteria can be used to prove that the two triangles in the given figure are congruent?

• A SAS
• B SSS
• C ASA

Q5:

Two triangles contain angles of equal measures.

Can we prove that the triangles are similar?

• Ayes
• Bno

Can we prove that the two triangles are congruent?

• Ano
• Byes

Q6:

The two triangles in the given figure share the measures of two angles and the length of one side. Does a rigid transformation exist that would map triangle to triangle , and, hence, are the two triangles congruent?

• A yes
• B no

Q7:

In the given figure, a reflection in the line would map triangle to triangle . Does it follow that the two triangles congruent?

• A yes
• B no

Q8:

Determine the lengths of and .

• A ,
• B ,
• C ,
• D ,

Q9:

Find the length of .

Q10:

Find the lengths of and .

• A ,
• B ,
• C ,
• D ,

Q11:

Are two triangles congruent when the angles of one triangle are equal to the angles in the other?

• A no
• B yes

Q12:

In the following figure, find .

Q13:

Triangle has been rotated to obtain triangle as seen in the given figure.

What is the measure of ?

What is the length of ?

What is the measure of ?

What type of triangle is ?

• Aisosceles
• Bscalene
• Cequilateral

Q14:

Use the figure to determine .

• A
• B
• C
• D

Q15:

Find the values of and .

• A ,
• B ,
• C ,
• D ,

Q16:

Find the values of and .

• A ,
• B ,
• C ,
• D ,

Q17:

Which is the correct congruence from this figure?

• A
• B
• C
• D

Q18:

In the given figure, and . Find .