Question

1. △def≅△wvu

given the information above, the following sides are equal:

1. which of the following is not true about congruent triangles △abc and △def?

□ a) (overline{ab}congoverline{de})
□ b) (overline{bc}congoverline{fd})
□ c) (angle abccongangle def)
□ d) (angle cabcongangle fde

1. △abc≅△lmn

given the information above, the following angle are equal: (angle acbcongangle)

1. which of the following is not true about congruent triangles △agk and △qvz?

□ a) (angle kgacongangle zvq)
□ b) (overline{kg}congoverline{zv})
□ c) (overline{ag}congoverline{vz})
□ d) (angle gkacongangle vzq

1. which of the following is not true about congruent quadrilaterals qrst and wxyz?

□ a) (overline{rs}congoverline{xy})
□ b) (angle stqcongangle yzw)
□ c) (angle rqtcongangle xwz)
□ d) (overline{st}congoverline{xw}

1. which of the following is not true about congruent polygons jklmn and tuvwx?

□ a) (angle lmncongangle uvw)
□ b) (overline{mn}congoverline{wx})
□ c) (overline{lk}congoverline{vu})
□ d) (angle mnjcongangle wxt)

Explanation:

Step1: Recall congruent - shape properties

For congruent polygons, corresponding sides and corresponding angles are equal.

Step2: Analyze question 3

In congruent triangles $\triangle ABC$ and $\triangle DEF$, corresponding sides and angles are congruent. But $\overline{BC}$ corresponds to $\overline{EF}$, not $\overline{FD}$. So $\overline{BC}\cong\overline{FD}$ is not true.

Step3: Analyze question 4

In congruent triangles $\triangle AGK$ and $\triangle QVZ$, $\overline{AG}$ corresponds to $\overline{QV}$, not $\overline{VZ}$. So $\overline{AG}\cong\overline{VZ}$ is not true.

Step4: Analyze question 5

In congruent quadrilaterals $QRST$ and $WXYZ$, $\angle RQT$ corresponds to $\angle XWY$, not $\angle XWZ$. So $\angle RQT\cong\angle XWZ$ is not true.

Step5: Analyze question 6

In congruent polygons $JKLMN$ and $TUVWX$, $\overline{LK}$ corresponds to $\overline{VU}$, $\overline{MN}$ corresponds to $\overline{WX}$, $\angle LMN$ corresponds to $\angle UVW$. But $\angle MNJ$ corresponds to $\angle WXT$ is not correct as the order of vertices for the angle is wrong.

Answer:

1. B) $\overline{BC}\cong\overline{FD}$
2. C) $\overline{AG}\cong\overline{VZ}$
3. C) $\angle RQT\cong\angle XWZ$
4. D) $\angle MNJ\cong\angle WXT$