Lesson: Congruence of Polygons

In this lesson, we will learn how to identify congruent polygons and find out about their properties to solve problems.

Sample Question Videos

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  • 01:57
  • 01:19

Worksheet: Congruence of Polygons • 18 Questions • 4 Videos

Q1:

The symbol means that the two objects are congruent. Which statement is true?

Q2:

Given that 𝐴 𝐵 𝐶 𝑋 𝑌 𝑍 , find 𝑚 𝐴 .

Q3:

Use the figure to determine 𝑚 𝐷 .

Q4:

Are two squares congruent if the side length of one square is equal to the side length of the other?

Q5:

Two squares are congruent. If one has side length 78, what is the side length of the other?

Q6:

If 𝑅 𝑆 𝑇 𝑀 𝑁 𝑂 , what is 𝑅 𝑇 congruent to?

Q7:

Given that 𝑃 𝑄 𝑅 𝑇 𝑈 𝑉 , which of the following is certain?

Q8:

If 𝐴 𝐵 𝐶 𝑋 𝑌 𝑍 , what is the length of 𝑋 𝑌 ?

Q9:

In the following figure, 𝐴 𝐶 = 𝐶 𝐷 , 𝐴 𝐵 = 𝐵 𝐷 , 𝑚 𝐴 𝐵 𝐶 = 8 1 , and 𝑚 𝐴 = 4 3 . Find 𝑚 𝐴 𝐶 𝐷 .

Q10:

Given that 𝑋 𝑌 𝐾 𝑀 𝐴 𝐵 𝐶 𝑀 , find the measure of 𝐾 𝑀 𝐶 .

Q11:

Find the values of 𝑥 and 𝑦 .

Q12:

Are two polygons congruent if their corresponding sides have the same length?

Q13:

Are any two equilateral triangles congruent?

Q14:

Given that 𝑃 𝑄 𝑅 𝑇 𝑈 𝑉 , which of the following is certain?

Q15:

Which of the following congruence statements is true?

Q16:

Are the given polygons congruent?

Q17:

Are the polygons shown congruent?

Q18:

Given that polygons 𝐴 𝐵 𝐶 𝐷 and 𝑋 𝐶 𝐵 𝑌 are congruent, determine the angles at 𝑌 , 𝐴 , and 𝑚 𝐴 𝐵 𝐶 .

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