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Lesson: Similarity and Congruence of Figures

Sample Question Videos

Worksheet • 14 Questions • 2 Videos

Q1:

Which two of these triangles are similar?

  • A ( 1 ) , ( 3 )
  • B ( 2 ) , ( 4 )
  • C ( 2 ) , ( 3 )
  • D ( 1 ) , ( 4 )

Q2:

Given that triangles 𝐴 𝐡 𝐢 and 𝐸 𝐷 𝐢 are similar, determine the value of π‘₯ .

Q3:

Consider three polygons: 𝐴 , 𝐡 , and 𝐢 . If 𝐴 and 𝐡 are both similar to 𝐢 , what can you say about polygons 𝐴 and 𝐡 ?

  • AThey are similar.
  • BThey are not similar.
  • CThey must be congruent.
  • DThey are not congruent.

Q4:

Complete the sentence: These figures are .

  • Acongruent
  • Bneither similar nor congruent
  • Csimilar but not congruent

Q5:

Complete the sentence: These figures are .

  • Asimilar but not congruent
  • Bneither similar nor congruent
  • Ccongruent

Q6:

Consider two congruent rectangles 𝐴 𝐡 𝐢 𝐷 and 𝑋 π‘Œ 𝑍 𝐿 . Which line in 𝑋 π‘Œ 𝑍 𝐿 corresponds to 𝐴 𝐡 ?

  • A π‘Œ 𝑍
  • B 𝑋 π‘Œ
  • C 𝑋 𝐿

Q7:

Complete the sentence: These figures are .

  • Asimilar but not congruent
  • Bcongruent
  • Cneither similar nor congruent

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?

  • A a and b
  • B a and c
  • C b and c

Q10:

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

  • AThey are not congruent.
  • BThey are congruent.
  • CThey have different areas.

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.

  • Abase length = 4 1 3 i n , height = 4 1 6 i n
  • Bbase length = 4 1 3 i n , height = 4 1 3 i n
  • Cbase length = 4 1 6 i n , height = 4 1 3 i n
  • Dbase length = 4 1 4 i n , height = 4 1 6 i n
  • Ebase length = 4 1 3 i n , height = 4 1 4 i n

Q12:

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

  • Aproportional
  • Bequal
  • Cnot proportional
  • Dcongruent

Q13:

Complete the sentence: These figures are .

  • Acongruent
  • Bsimilar but not congruent
  • Cneither similar nor congruent

Q14:

Which two shapes are congruent?

  • A a and b
  • B a and c
  • C b and c
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