Topics
4. Congruence & Triangles
topic badge
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 figure with labeled vertices. The figure on the left is labeled with vertices $A$A, $B$B, $C$C, $D$D, $E$E, $F$F, $G$G, and $H$H, forming an irregular polygon. The figure on the right is similarly irregular and labeled with vertices $M$M, $N$N, $O$O, $P$P, $I$I, $J$J, $K$K, and $L$L. It is rotated relative to the figure on the left.  In the geometric figure $ABCDEFGH$ABCDEFGH, side $AB$AB is adjacent to $BC$BC, followed by $CD$CD, then $DE$DE, $EF$EF, $FG$FG, $GH$GH, and finally $HA$HA. In the geometric figure $MNOPIJKL$MNOPIJKL, side $MN$MN is adjacent to $NO$NO, followed by $OP$OP, then $IP$IP, $IJ$IJ, $JK$JK, $KL$KL, and finally $LM$LM.

$IJ$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
Sign up to access Practice Questions
Get full access to our content with a Mathspace account
Book a Demo
Sign up for free

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.

What is Mathspace

About Mathspace