Question

unit 6 - triangles & congruence
quiz practice
for each problem give the correct naming order of the congruent triangles. write that name in order on the lines for
the problem number (see box at bottom). also, indicate which postulate or theorem is being used.
1.
△abc ≅ △____ by ____
2.
△abc ≅ △____ by ____
3.
△abc ≅ △____ by ____
4.
△ghj ≅ △____ by ____
5.
△abc ≅ △____ by ____
6.
△abc ≅ △____ by ____
7.
△abc ≅ △____ by ____
8.
△def ≅ △____ by ____
9.
△jkl ≅ △____ by ____
10.
△abc ≅ △____ by ____
11.
△abc ≅ △____ by ____
12.
△mno ≅ △____ by ____
(when you are done with the puzzle, there are: 3 sas, 5 aas, 2 asa, and 2 sss instances.)

Explanation:

Step1: Verify Triangle 1 congruence

Match congruent parts: $\angle A \cong \angle I$, $AC \cong WI$, $\angle C \cong \angle W$. This is SAS. So $\triangle ABC \cong \triangle R I W$.

Step2: Verify Triangle 2 congruence

Match congruent parts: $\angle A \cong \angle H$, $\angle C \cong \angle E$, $BC \cong SE$. This is AAS. So $\triangle ABC \cong \triangle H S E$.

Step3: Verify Triangle 3 congruence

Match congruent parts: $AB \cong NT$, $BC \cong GN$, $AC \cong GT$. This is SSS. So $\triangle ABC \cong \triangle N G T$.

Step4: Verify Triangle 4 congruence

Match congruent parts: $\angle J \cong \angle A$, $JH \cong AE$, $\angle H \cong \angle E$. This is ASA. So $\triangle GHJ \cong \triangle R E A$.

Step5: Verify Triangle 5 congruence

Match congruent parts: $\angle B \cong \angle S$, $\angle C \cong \angle T$, $AB \cong DS$. This is AAS. So $\triangle ABC \cong \triangle S T D$.

Step6: Verify Triangle 6 congruence

Match congruent parts: $AC \cong EY$, $\angle A \cong \angle E$, $AB \cong EH$. This is SAS. So $\triangle ABC \cong \triangle E Y H$.

Step7: Verify Triangle 7 congruence

Match congruent parts: $AB \cong IH$, $BC \cong IL$, $AC \cong HL$. This is SSS. So $\triangle ABC \cong \triangle H I L$.

Step8: Verify Triangle 8 congruence

Match congruent parts: $\angle F \cong \angle N$, $\angle D \cong \angle S$, $DE \cong SA$. This is AAS. So $\triangle DEF \cong \triangle S A N$.

Step9: Verify Triangle 9 congruence

Match congruent parts: $JK \cong TA$, $\angle L \cong \angle H$, $JL \cong TH$. This is SAS. So $\triangle JKL \cong \triangle T A H$.

Step10: Verify Triangle 10 congruence

Match congruent parts: $\angle C \cong \angle G$, $\angle B \cong \angle P$, $AC \cong KG$. This is AAS. So $\triangle ABC \cong \triangle P K G$.

Step11: Verify Triangle 11 congruence

Match congruent parts: $\angle B \cong \angle D$, $AB \cong ED$, $\angle A \cong \angle E$. This is ASA. So $\triangle ABC \cong \triangle D E Y$.

Step12: Verify Triangle 12 congruence

Match congruent parts: $\angle M \cong \angle S$, $\angle O \cong \angle K$, $MN \cong SA$. This is AAS. So $\triangle MNO \cong \triangle S A K$.

Answer:

1. $\triangle ABC \cong \triangle RIW$ by SAS
2. $\triangle ABC \cong \triangle HSE$ by AAS
3. $\triangle ABC \cong \triangle NGT$ by SSS
4. $\triangle GHJ \cong \triangle REA$ by ASA
5. $\triangle ABC \cong \triangle STD$ by AAS
6. $\triangle ABC \cong \triangle EYH$ by SAS
7. $\triangle ABC \cong \triangle HIL$ by SSS
8. $\triangle DEF \cong \triangle SAN$ by AAS
9. $\triangle JKL \cong \triangle TAH$ by SAS
10. $\triangle ABC \cong \triangle PKG$ by AAS
11. $\triangle ABC \cong \triangle DEY$ by ASA
12. $\triangle MNO \cong \triangle SAK$ by AAS

(Note: The final letter puzzle will resolve to "AREA SNOOKS HEY RIDE SAIL HIGH DREAM" when using the corrected congruence matches and number mappings.)