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

4.05 Corresponding parts of congruent triangles

Lesson
Practice
Adaptive
Worksheet

Interactive practice questions

Given that $\triangle PQR$△PQR$\cong$≅$\triangle STU$△STU:

Two triangles, $\triangle PQR$△PQR and$\triangle STU$△STU, have their vertices marked with solid dots. The triangle above is $\triangle PQR$△PQR, labeled with vertices $P$P, $Q$Q, and $R$R. The side $QR$QR is opposite $\angle QPR$∠QPR. The side $PQ$PQ is opposite $\angle PRQ$∠PRQ. The side $PR$PR is opposite $\angle PQR$∠PQR. The triangle below is $\triangle STU$△STU, labeled with vertices $S$S, $T$T, and $U$U. The side $TU$TU is opposite $\angle TSU$∠TSU. The side $ST$ST is opposite $\angle SUT$∠SUT. The side $US$US is opposite $\angle STU$∠STU. Both $\angle PRQ$∠PRQ of $\triangle PQR$△PQR and $\angle SUT$∠SUT of $\triangle STU$△STU are marked with a yellow-shaded single arc. Both $\angle QPR$∠QPR of $\triangle PQR$△PQR and $\angle TSU$∠TSU of $\triangle STU$△STU are marked with a blue-shaded double arc.

Which of the following statements are true?

$\overline{QR}\cong\overline{ST}$QR≅ST

A

$\overline{PQ}\cong\overline{ST}$PQ≅ST

B

$\overline{QR}\cong\overline{TU}$QR≅TU

C

$\overline{PQ}\cong\overline{TU}$PQ≅TU

D
Easy
< 1min

Given that $\triangle CDE$△CDE$\cong$≅$\triangle LMN$△LMN:

Easy
< 1min

Given that $\triangle GHI$△GHI$\cong$≅$\triangle LMN$△LMN:

Easy
< 1min

Given that $\triangle STU$△STU$\cong$≅$\triangle ABC$△ABC:

Easy
< 1min
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Outcomes

MA.912.GR.1.2

Prove triangle congruence or similarity using Side-Side-Side, Side-Angle-Side, Angle-Side-Angle, Angle-Angle-Side, Angle-Angle and Hypotenuse-Leg.

MA.912.GR.1.6

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

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