Worksheet: Application of Lines of Symmetry

In this worksheet, we will practice finding a missing angle measure or a missing side length in one of two congruent figures.

Q1:

Given that is the line of symmetry of the polygon , determine the perimeter of .

Q2:

In the figure, is symmetrical about line . If , what is ?

Q3:

In the figure, , , and are collinear, with . If is a line of symmetry of polygon , find and the length .

• A ,
• B ,
• C ,
• D ,

Q4:

Two of a triangle’s sides are 16 and 2. If the triangle has one line of symmetry, what is its perimeter?

Q5:

Given that is a line of symmetry for the shape , calculate .

Q6:

Segment has mirror symmetry in line . Given that and , calculate the perimeters of and .

• Aperimeter of , perimeter of
• Bperimeter of , perimeter of
• Cperimeter of , perimeter of
• Dperimeter of , perimeter of

Q7:

Given that is a line of symmetry for the shape , calculate .

Q8:

In the figure, , , and are collinear, with . If is a line of symmetry of polygon , find and the length .

• A ,
• B ,
• C ,
• D ,

Q9:

Two of a triangle’s sides are 18 and 7. If the triangle has one line of symmetry, what is its perimeter?

Q10:

Given that is the line of symmetry of the polygon , determine the perimeter of .

Q11:

Segment has mirror symmetry in line . Given that and , calculate the perimeters of and .

• Aperimeter of , perimeter of
• Bperimeter of , perimeter of
• Cperimeter of , perimeter of
• Dperimeter of , perimeter of

Q12:

Segment has mirror symmetry in line . Given that and , calculate the perimeters of and .

• Aperimeter of , perimeter of
• Bperimeter of , perimeter of
• Cperimeter of , perimeter of
• Dperimeter of , perimeter of

Q13:

In the figure, is symmetrical about line . If , what is ?