A triangular windowpane has sides AB=4 m, BC=3 m, and AC=5 m. The designer wants to create a second congruent triangle. What are the lengths of the corresponding sides in the second triangle?

\overline{\mathrm{AB}}=4m,\ \overline{\mathrm{BC}}=3m,\ and\ \ \overline{\mathrm{AC}}=5m.

\overline{\mathrm{AB}}=\ 5m,\ \overline{\mathrm{BC}}\ =\ 3m,\ and\ \overline{\mathrm{AC}}\ =\ 4m.

\overline{\mathrm{AB\ }}=4m,\ \overline{\mathrm{BC}}\ =\ 5m,\ and\ \overline{\mathrm{AC}}\ =\ 3m.

\overline{\mathrm{AB}}\ =\ 3m,\ \overline{\mathrm{BC}}\ =\ 4m,\ \mathrm{and\ \overline{\mathrm{AC}}=5m.}

Two congruent triangles, △ABC and △DEF, are given. △ABC has ∠A=40∘,∠B=60∘,∠C=80∘. List the corresponding angles in △DEF.

∠A↔∠D, ∠B↔∠E, ∠C↔∠F

∠A↔∠C, ∠B↔∠E, ∠C↔∠F

∠A↔∠F, ∠B↔∠D, ∠C↔∠E

∠A↔∠B, ∠C↔∠D, ∠E↔∠F

What are the corresponding angle measures in △ABC?

∠A=45∘,∠B=55∘,∠C=80∘

∠A=80∘,∠B=55∘,∠C=45∘

∠A=55∘,∠B=45∘,∠C=80∘

∠A=45∘,∠B=80∘,∠C=55∘

An engineer is designing a bridge using two triangular support beams, \triangle ABC and \triangle DEF . It is known that \triangle ABC \cong \triangle DEF . The engineer must ensure the beams are correctly aligned by matching their corresponding sides and angles. The following are the given measurements for \triangle ABC : \overline{\mathrm{AB}}=12m,\ \overline{\mathrm{BC}}\ =15m,\ \overline{\mathrm{AC}}\ =\ 13m \angle A = 40^\circ, \angle B = 60^\circ, \angle C = 80^\circ For \triangle DEF , the measurements of \overline{\mathrm{DE}} , \overline{\mathrm{EF}} , and \overline{\mathrm{DF}} are unknown. Which of the following statements is correct?

\overline{\mathrm{DE}}\ =\ 12m,\ \overline{\mathrm{EF}}\ =\ 15m,\ \overline{\mathrm{DF}}\ =\ 13m;\ \angle D\ =\ 40\degree,\ \angle E\ =\ 60\degree,\ \angle F\ =\ 80\degree

\overline{\mathrm{DE}}\ =\ 15m,\ \overline{\mathrm{EF}}\ =\ 12m,\ \overline{\mathrm{DF}}\ =\ 13m;\ \angle D\ =\ 80\degree,\ \angle E\ =\ 40\degree,\ \angle F\ =\ 60\degree

\overline{\mathrm{DE}}\ =\ 12m,\ \overline{\mathrm{EF}}\ =\ 13m,\ \overline{\mathrm{DF}}\ =\ 15m;\ \angle D\ =\ 40\degree,\ \angle E\ =\ 60\degree,\ \angle F\ =\ 80\degree

\overline{\mathrm{DE}}\ =\ 12m,\ \overline{\mathrm{EF}}\ =\ 15m,\ \overline{\mathrm{DF}}\ =\ 13m;\ \angle D\ =\ 60\degree,\ \angle E\ =\ 40\degree,\ \angle F\ =\ 80\degree

Quiz in Illustrating Triangle Congruence

Quiz in Illustrating Triangle Congruence | Quizalize

Q 1/5
Score 0
A triangular windowpane has sides AB=4 m, BC=3 m, and AC=5 m. The designer wants to create a second congruent triangle.
What are the lengths of the corresponding sides in the second triangle?
60
$\overline{\mathrm{AB}}=\ 5m,\ \overline{\mathrm{BC}}\ =\ 3m,\ and\ \overline{\mathrm{AC}}\ =\ 4m.$
$\overline{\mathrm{AB\ }}=4m,\ \overline{\mathrm{BC}}\ =\ 5m,\ and\ \overline{\mathrm{AC}}\ =\ 3m.$
$\overline{\mathrm{AB}}=4m,\ \overline{\mathrm{BC}}=3m,\ and\ \ \overline{\mathrm{AC}}=5m.$
$\overline{\mathrm{AB}}\ =\ 3m,\ \overline{\mathrm{BC}}\ =\ 4m,\ \mathrm{and\ \overline{\mathrm{AC}}=5m.}$
Q 2/5
Score 0
Two congruent triangles, △ABC and △DEF, are given.
△ABC has ∠A=40∘,∠B=60∘,∠C=80∘. List the corresponding angles in △DEF.

60
∠A↔∠C, ∠B↔∠E, ∠C↔∠F
∠A↔∠F, ∠B↔∠D, ∠C↔∠E
∠A↔∠B, ∠C↔∠D, ∠E↔∠F
∠A↔∠D, ∠B↔∠E, ∠C↔∠F

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