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India
Class VII

Introduction to Congruence

Interactive practice questions

Given that $ABCD\equiv EFGH$ABCDEFGH, which angle of $EFGH$EFGH corresponds to $\angle ABC$ABC?

Two figures like a kite shape; the figure on the left is labeled with vertices A, B, C, and D. The top vertex is B, the left vertex is A, the right vertex is C, and the bottom vertex is D. Tick marks on the sides indicate that interval(AB) is equal to interval(BC) and interval(AD) is equal to interval(DC)

The figure on the right is labeled with vertices E, F, G, and H. The top vertex is H, the left vertex is E, the right vertex is G, and the bottom vertex is F. Tick marks on the sides indicate that interval(EF) is equal to interval(FG) and interval(GF) is equal to interval(HE). Both figures are not explicitly labeled. 

$\angle EFG$EFG

A

$\angle FGH$FGH

B

$\angle GHE$GHE

C

$\angle FEH$FEH

D
Easy
< 1min

Given that $ABCDEFGH\equiv MNOPIJKL$ABCDEFGHMNOPIJKL what side of $MNOPIJKL$MNOPIJKL corresponds to $DE$DE?

Easy
< 1min

Given that $ABCDEF\equiv GHIJKL$ABCDEFGHIJKL, what side of $GHIJKL$GHIJKL corresponds to $CD$CD?

Easy
< 1min

Given that these shapes are congruent, find the value of $x$x.

Easy
< 1min
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Outcomes

7.G.C.1

Congruence through superposition (examples - blades, stamps, etc.)

7.G.C.2

Extend congruence to simple geometrical shapes e.g. triangles, circles.

7.G.C.3

Criteria of congruence (by verification) SSS, SAS, ASA, RHS

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