Topics
4. Congruence & Triangles
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United States of AmericaFL
Grade 912

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

MA.912.GR.1.6

Solve mathematical and real-world problems involving congruence or similarity in two-dimensional figures.

MA.912.GR.2.3

Identify a sequence of transformations that will map a given figure onto itself or onto another congruent or similar figure.

MA.912.GR.2.5

Given a geometric figure and a sequence of transformations, draw the transformed figure on a coordinate plane.

MA.912.GR.2.6

Apply rigid transformations to map one figure onto another to justify that the two figures are congruent.

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