based on the pattern of the drawings which conjecture is reasonable to make?



A. when a pair of parallel lines is intersected by a third line, the corresponding angles are complementary
B. when a pair of parallel lines is intersected by a third line, all of the angles formed are congruent.
C. when a pair of parallel lines is intersected by a third line, the corresponding angles are congruent
D. when a pair of parallel lines is intersected by a third line, the corresponding angles are supplementary.

based on the pattern of the drawings which conjecture is reasonable to makeA when a pair of parallel lines is intersected by a third line the corresponding angl class=

Respuesta :

the 2 angles in each picture are the same - meaning they are congruent,

 so the answer is:

C. when a pair of parallel lines is intersected by a third line, the corresponding angles are congruent

Conjectures are simply opinions from a given information.

The conjecture that can be formed is: C. when a pair of parallel lines is intersected by a third line, the corresponding angles are congruent

From the three diagrams, we can see that:

  • [tex]\mathbf{30^o = 30^o}[/tex]
  • [tex]\mathbf{35^o = 35^o}[/tex]
  • [tex]\mathbf{50^o = 50^o}[/tex]

From the figures above, we have the following observations

  • The angles are congruent
  • The angles are corresponding
  • The congruence of the angles is based on parallel lines, intersected by a third line (i.e. the transversal)

Hence, the conjecture that can be formed is: option (c)

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