Whether the congruence 25equiv 85 mod 12 is true or false.

To find: congruent criteria used to prove that the triangles are congruent.
Given information:
${\displaystyle \mathrm{\angle }ABC\stackrel{\sim }{=}\mathrm{\angle }ACB,\overline{AE}\perp \overline{EC}\text{and}\overline{AD}\perp \overline{DB}}$

To determine: The smallest nonnegative integer x that satisfies the given system of congruences.
${\displaystyle x\equiv 1\pm od\left\{4\right\}}$
${\displaystyle x\equiv 8\pm od\left\{9\right\}}$
${\displaystyle x\equiv 10\pm od\left\{25\right\}}$

State if the two triangles are congruent. If they are, state how you know.

A)SSS
B)Not congruent
C)ASA
D)HL

To determine: The smallest nonnegative integer x that satisfies the given system of congruences.
${\displaystyle x\equiv 3\pm od\left\{1917\right\}}$
${\displaystyle x\equiv 75\pm od\left\{385\right\}}$

Select all statements that are true about the triangles.

-Triangle ABC and DCB are congruent by the Angle-Angle Triangle Congruence theorem.
-Triangle ABC and BCD are congruent by the Angle-Side-Angle Triangle Congruence theorem.
-Triangle ABC and BCD are congruent by the Side-Side-Side Triangle Congruence theorem.
-Triangle ABC and DCB are congruent by the Side-Angle-Side Triangle Congruence theorem.
-Triangle ABC and DCB are congruent by the Side-Side-Side Triangle Congruence theorem.
-There is not enough information to determine if the triangles are congruent.

To prove: ABCD is a parallelogram.
Given information:
${\displaystyle \overline{AB}\parallel \overline{CD}}$,
${\displaystyle \overline{AB}\stackrel{\sim }{=}\overline{DC}}$.

a.Triangles ABCABC and BCDBCD are congruent by the Side-Side-Side Triangle Congruence Theorem. b.Triangles ABCABC and DCBDCB are congruent by the Side-Angle-Side Triangle Congruence Theorem. c.Triangles ABCABC and DCBDCB are congruent by the Side-Side-Side Triangle Congruence Theorem. d.There is not enough information to determine if the triangles are congruent e.Triangles ABCABC and DCBDCB are congruent by the Angle-Angle Triangle Congruence Theorem. f.Triangles ABCABC and BCDBCD are congruent by the Angle-Side-Angle Triangle Congruence Theorem.