Topics
4. Congruence & Triangles
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United States of AmericaTennessee
Geometry

4.01 Congruent figures

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

Write a mathematical expression stating that the two triangles are congruent, naming the vertices in corresponding order.

Medium
1min

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

Medium
< 1min
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Outcomes

G.CO.B.5

Given two figures, use the definition of congruence in terms of rigid motions to determine informally if they are congruent.

G.CO.B.6

Use the definition of congruence in terms of rigid motions to show that two triangles are congruent if and only if corresponding pairs of sides and corresponding pairs of angles are congruent.

G.MP1

Make sense of problems and persevere in solving them.

G.MP2

Reason abstractly and quantitatively.

G.MP3

Construct viable arguments and critique the reasoning of others.

G.MP4

Model with mathematics.

G.MP5

Use appropriate tools strategically.

G.MP6

Attend to precision.

G.MP7

Look for and make use of structure.

G.MP8

Look for and express regularity in repeated reasoning.

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