Properties of triangles and quadrilaterals

Question 1

According to Euclid’s parallel postulate, how many distinct lines can be drawn through a point that does not lie on a given line, such that each of these lines is parallel to the given line?

Accepted Answer

Exactly one line

Answer

Exactly two lines

Answer

Infinitely many lines

Answer

No line

Question 2

Quadrilateral KLMN is confirmed to be a parallelogram. Which statement must always be true for KLMN?

Accepted Answer

Opposite sides are parallel and have the same length.

Answer

All four sides are equal in length.

Answer

The diagonals intersect at right angles.

Answer

Every interior angle measures 90°.

Question 3

In triangles ( ABC) and ( DEF) it is given that (AB = DE), (BC = EF), and ( B = E). Which congruence theorem can be applied to prove that the two triangles are congruent?

Accepted Answer

SAS (Side-Angle-Side)

Answer

ASA (Angle-Side-Angle)

Answer

SSA (Side-Side-Angle)

Answer

SSS (Side-Side-Side)

Try three questions

According to Euclid’s parallel postulate, how many distinct lines can be drawn through a point that does not lie on a given line, such that each of these lines is parallel to the given line?

Quadrilateral KLMN is confirmed to be a parallelogram. Which statement must always be true for KLMN?

In triangles $\triangle ABC$ and $\triangle DEF$ it is given that $AB = DE$ , $BC = EF$ , and $\angle B = \angle E$ . Which congruence theorem can be applied to prove that the two triangles are congruent?

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Properties of triangles and quadrilaterals

Try three questions

According to Euclid’s parallel postulate, how many distinct lines can be drawn through a point that does not lie on a given line, such that each of these lines is parallel to the given line?

Quadrilateral KLMN is confirmed to be a parallelogram. Which statement must always be true for KLMN?

In triangles △ABC\triangle ABC△ABC and △DEF\triangle DEF△DEF it is given that AB=DEAB = DEAB=DE, BC=EFBC = EFBC=EF, and ∠B=∠E\angle B = \angle E∠B=∠E. Which congruence theorem can be applied to prove that the two triangles are congruent?

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In triangles $\triangle ABC$ and $\triangle DEF$ it is given that $AB = DE$ , $BC = EF$ , and $\angle B = \angle E$ . Which congruence theorem can be applied to prove that the two triangles are congruent?