topic badge
India
Class IX

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
Sign up to access Practice Questions
Get full access to our content with a Mathspace account

Outcomes

9.G.T.1

Two triangles are congruent if any two sides and the included angle of one triangle is equal to any two sides and the included angle of the other triangle (SAS Congruence). Two triangles are congruent if any two angles and the included side of one triangle is equal to any two angles and the included side of the other triangle (ASA Congruence). Two triangles are congruent if the three sides of one triangle are equal to three sides of the other triangle (SSS Congruence).

What is Mathspace

About Mathspace