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In this lesson, we will learn how to differentiate between similar and congruent two-dimensional figures.

Q1:

Which two of these triangles are similar?

Q2:

Given that triangles π΄ π΅ πΆ and πΈ π· πΆ are similar, determine the value of π₯ .

Q3:

Consider three polygons: π΄ , π΅ , and πΆ . If π΄ and π΅ are both similar to πΆ , what can you say about polygons π΄ and π΅ ?

Q4:

Complete the sentence: These figures are .

Q5:

Q6:

Consider two congruent rectangles π΄ π΅ πΆ π· and π π π πΏ . Which line in π π π πΏ corresponds to π΄ π΅ ?

Q7:

Q8:

Adel has a picture frame that is 18 by 24 inches. If he has another frame congruent to the first one, and one of its sides is 24 inches long, determine the length of the other side.

Q9:

Which two figures are congruent?

Q10:

If two triangles are similar and, additionally, the ratio between the lengths of two corresponding sides is 1 βΆ 1 , what can you say about the triangles?

Q11:

Given that all the triangles in this pattern are congruent, find the length of the base of a blue triangle and then determine its height.

Q12:

Any two triangles are similar if the lengths of their corresponding sides are .

Q13:

Q14:

Which two shapes are congruent?

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