5. Congruence and Triangles

5.01 Congruence transformations

5.02 Corresponding parts of congruent triangles

5.03 SSS and SAS congruence criteria

5.04 ASA and AAS congruence criteria

5.05 Right triangle congruence

5.06 Modeling with congruent triangles (M)

United States of America

Grades 9-12

5.01 Congruence transformations

Adaptive

Worksheet

Interactive practice questions

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

$IJ$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

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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