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Class 7 Geometric Twins worksheet
CBSE Mathematics. Congruent figures and triangles: SSS, SAS, ASA and RHS, matching sides and angles, isosceles triangles. Every sheet has 20 questions in three sections and an answer key, and the numbers change every time.
Sample questions
Real questions from this chapter, as the app sets them. Tap Answer to see the answer and working.
Section A · multiple choice
- 1.
In △PQR and △MKL, PQ = MK, QR = KL and RP = LM. The triangles are congruent by:
- SSS
- RHS
- ASA
- SAS
Answer
(a) SSS
- 2.
△GHI ≅ △WUV. Which side equals HI?
- IG
- WU
- UV
- VW
Answer
(c) UV
the letters match in order
- 3.
Two figures that have exactly the same shape and size are called:
- parallel
- symmetrical
- similar only
- congruent
Answer
(d) congruent
Section B · short answer
- 4.
△GHI ≅ △VWU. GH = 11 cm, HI = 7 cm and IG = 11 cm. Find VW, WU and UV.
Answer
11 cm, 7 cm, 11 cm
matching sides of congruent triangles are equal
- 5.
In △UVW, UV = 12 cm, ∠V = 46° and VW = 6 cm. In △ABC, AB = 12 cm, ∠B = 46° and BC = 6 cm. Are they congruent? By which rule? Write the congruence.
Answer
Yes, by SAS; △UVW ≅ △ABC
two sides and the angle between them are equal
Section C · long answer
- 6.
Two roof trusses are congruent triangles. One has a base of 4 m, a height of 3 m and an angle of 120° at the top. What are the base, height and top angle of the other truss?
Answer
4 m, 3 m, 120°
congruent shapes have all matching parts equal
Fresh sheets for your child
In the app, every Geometric Twins sheet is new: the app remembers the questions your child has already had and leaves them out. Print the sheet as a PDF, or use notebook mode and write the answers in a notebook.
Coming soon for Android and iPhone.