# Worksheet: Application of Congruence of Polygons

Q1:

Find in the given figure.

Q2:

Find in the given figure.

Q3:

If , find the values of and .

• A ,
• B ,
• C ,
• D ,
• E ,

Q4:

If , find the values of and .

• A ,
• B ,
• C ,
• D ,
• E ,

Q5:

Given that , find the values of and .

• A ,
• B ,
• C ,
• D ,
• E ,

Q6:

Given that , find the values of and .

• A ,
• B ,
• C ,
• D ,
• E ,

Q7:

The perimeter of the polygon is 176 cm and . Given that and , find the perimeter of the figure .

Q8:

and is the midpoint of . Given that , find the length of .

Q9:

Given that the polygons and are congruent, find the perimeter of the polygon and then .

• A 72 cm,
• B 352 cm,
• C 55 cm,
• D 72 cm,

Q10:

If is congruent to and , what is ?

Q11:

In the figure, is congruent to . Given that and , find .

• A
• B
• C
• D

Q12:

Consider two congruent triangles: and . Which angle in corresponds to ?

• A
• B
• C

Q13:

Given that the dashed line is a line of symmetry of , which angle has the same size as ?

• A
• B
• C
• D

Q14:

If the polygon the polygon , cm, and cm, find the perimeter of the polygon .

Q15:

Given that , find the length of and calculate the perimeter of .

• A , the perimeter
• B , the perimeter
• C , the perimeter

Q16:

Find the values of and .

• A ,
• B ,
• C ,
• D ,

Q17:

Find the values of and .

• A ,
• B ,
• C ,
• D ,

Q18:

In the following figure, find the length of .

Q19:

Given that the two polygons shown are congruent, find the length of .

Q20:

Given that the two polygons shown are congruent, find the length of .

Q21:

In the figure pentagon is congruent to pentagon .

Work out the length of .

Work out the length of .

Work out the length of .

Work out the measure of angle .

Work out the measure of angle .

Q22:

Given that is congruent to , , and , find .

• A
• B
• C
• D
• E

Q23:

Consider two congruent polygons and . First, write the line segment in that corresponds to . Then, find the angle in whose measure is the same as .

• A ,
• B ,
• C ,
• D ,

Q24:

What is the condition for two angles to be congruent?

• Bequal in length
• Cdifferent in length
• Dequal in measure

Q25:

In the given figure, and are parallel and lies on both and .

Work out the value of .

Are triangles and congruent?

• Ayes
• Bno