Which of the following rigid motions is used to prove that vertical angle pairs are congruent? (1) a rotation by 90 about the i
1 answer:
Answer:
(2) a rotation by about the intersection of the lines creating the vertical angles.
Step-by-step explanation:
Rigid motion are a set of transformation procedure to change the dimension, orientation or size of a given figure or shape. It involves rotation, translation, reflection and dilation.
Vertical angles are formed when two straight lines intersect to form angles. But two opposite angles called vertical angles are equal. To prove that vertical angles are equal; a rotation by about the intersection of the lines creating the vertical angles is required.
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(a) 32 orange marbles
the ratio of red : blue = 18 : 48 = 3 : 8 ( in simplest form )
the ratio of green : orange = 3 : 8 ( equal ratio )
divide green by 3 to obtain 1 part of ratio then multiply this value by 8 to obtain the amount of orange marbles
3 parts → 12
8 parts → 12 × = 32 orange marbles
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