Topics
5. Congruence and Triangles
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United States of America
Grades 9-12

5.01 Congruence transformations

Lesson
Practice
Adaptive
Worksheet

Interactive practice questions

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

Two geometric figures, each consisting of polygons with resembling a step-like structure. The figure on the left is labeled with vertices, A, B, C, D, E, F, G, H forming an irregular polygon. The figure on the right is similarly irregular and labeled with vertices M, N, O, P, I, J, K, L. It is rotated relative to the first figure.

$IJ$IJ

A

$IP$IP

B

$KL$KL

C

$LM$LM

D

$MN$MN

E

$JK$JK

F
Easy
< 1min

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

Easy
< 1min

Given that $\triangle QPO\equiv\triangle CBA$△QPO≡△CBA, which angle of $\triangle QPO$△QPO corresponds to $\angle BCA$∠BCA?

Medium
< 1min

Given that $\triangle BAC\equiv\triangle FED$△BAC≡△FED, which angle of $\triangle FED$△FED corresponds to $\angle ABC$∠ABC?

Medium
< 1min
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Outcomes

G.CO.A.2

Represent transformations in the plane using, e.g. Transparencies and geometry software; describe transformations as functions that take points in the plane as inputs and give other points as outputs. Compare transformations that preserve distance and angle to those that do not (e.g. Translation versus horizontal stretch).

G.CO.B.6

Use geometric descriptions of rigid motions to transform figures and to predict the effect of a given rigid motion on a given figure; given two figures, use the definition of congruence in terms of rigid motions to decide if they are congruent.

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