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Transcript 
ISLAMIYA ENGLISH SCHOOL, ABU DHABI.
GRADE : 7
SIMILAR FIGURES
CHAPTER: 14
KEY POINT:
Triangles are similar if they have the same shape, but not necessarily the same size.
Properties of Similar Triangles:
1. AAA ( Angle Angle Angle):
All three pairs of corresponding angles are the same.
2. SSS ( Side Side Side ):
All three pairs of corresponding sides are in the same proportion.
3. SAS ( Side Angle Side ):
Two pairs of sides are in the same proportion and the included angle is equal.
PART – A
1. For the given pair of similar triangles, list the corresponding sides and angles.
GRADE: 7
MATHEMATICS
Page 1
ISLAMIYA ENGLISH SCHOOL, ABU DHABI.
2. The given pair of triangles are similar. List the corresponding vertices and sides.
3. State whether the triangles are similar by giving reasons. Find the missing side if similar. All
measurements are in centimeters.
GRADE: 7
MATHEMATICS
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ISLAMIYA ENGLISH SCHOOL, ABU DHABI.
4. Determine if the triangles given below are similar and explain how you know. Find the length of
the missing side. All measurements are in centimeters.
5. Triangles PQR and XYZ are similar. What is the length of XZ?
GRADE: 7
MATHEMATICS
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ISLAMIYA ENGLISH SCHOOL, ABU DHABI.
6. Determine if the triangles given below are similar and explain how? Which angle is equal to
angle A?
7. State whether the triangles are similar. If similar find the length of PR.
GRADE: 7
MATHEMATICS
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ISLAMIYA ENGLISH SCHOOL, ABU DHABI.
8. Find the length of YZ if the triangles given below are similar.
9. Are the triangles similar? Give reasons. If so find AC.
GRADE: 7
MATHEMATICS
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ISLAMIYA ENGLISH SCHOOL, ABU DHABI.
PART – B
10. Show that the triangles given below are similar. BC is parallel to DE. What is the length of BC?
11. Prove that the given triangles are similar. Give proper reasons. AB is parallel to CD. Find the
length of BE.
GRADE: 7
MATHEMATICS
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ISLAMIYA ENGLISH SCHOOL, ABU DHABI.
12. Assuming the two triangles are similar, find the height of the tower using the information given
below.
PART – C (Bravo!)
13. Select a pair of triangles from the figure given below. State whether those triangles are similar
by giving proper reasons.
GRADE: 7
MATHEMATICS
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ISLAMIYA ENGLISH SCHOOL, ABU DHABI.
14. For the picture given below of an ironing board, prove that the triangle AEC is similar to triangle
to BED.
15. Show that the triangles ABC and ADE are similar. If so find the length of CE.
x--------------x---------------x
GRADE: 7
MATHEMATICS
Page 8
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