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In this lesson, we will learn how to find a missing angle measure or a missing side length in one of two congruent figures.

Q1:

Given that πΏ is a line of symmetry for the shape π΄ π΅ πΆ π· πΈ , calculate π β π΅ πΆ π· .

Q2:

Q3:

In the figure, π΄ , πΉ , and π΅ are collinear, with π΄ π΅ = 1 0 . If β ο© ο© ο© ο© β πΉ π· is a line of symmetry of polygon π΄ π΅ πΆ π· πΈ , find π β πΆ π· πΈ and the length π΅ πΉ .

Q4:

In the figure, π΄ , πΉ , and π΅ are collinear, with π΄ π΅ = 1 4 . If β ο© ο© ο© ο© β πΉ π· is a line of symmetry of polygon π΄ π΅ πΆ π· πΈ , find π β πΆ π· πΈ and the length π΅ πΉ .

Q5:

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

Q6:

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

Q7:

Given that β ο© ο© ο© ο© ο© β π π is the line of symmetry of the polygon π΄ π΅ π πΆ π· , determine the perimeter of π΄ π΅ π πΆ π· .

Q8:

Q9:

Segment πΆ π· has mirror symmetry in line β ο© ο© ο© ο© β π΄ πΉ . Given that πΈ π· = 5 and π΅ πΆ = 5 . 1 , calculate the perimeters of π΄ πΆ πΉ π· and β³ π΅ πΆ π· .

Q10:

Segment πΆ π· has mirror symmetry in line β ο© ο© ο© ο© β π΄ πΉ . Given that πΈ π· = 1 0 and π΅ πΆ = 1 0 . 8 , calculate the perimeters of π΄ πΆ πΉ π· and β³ π΅ πΆ π· .

Q11:

Segment πΆ π· has mirror symmetry in line β ο© ο© ο© ο© β π΄ πΉ . Given that πΈ π· = 4 and π΅ πΆ = 4 . 3 , calculate the perimeters of π΄ πΆ πΉ π· and β³ π΅ πΆ π· .

Q12:

In the figure, β³ π· π΅ πΆ is symmetrical about line πΏ . If π β πΆ = 6 9 β , what is π β π΄ π΅ π· ?

Q13:

In the figure, β³ π· π΅ πΆ is symmetrical about line πΏ . If π β πΆ = 6 1 β , what is π β π΄ π΅ π· ?

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