What are the resulting vertices of triangle E′F′G′ after rotating triangle EFG 180° about the origin? answers: A) E′ (3, 1), F′ (1, –2), G′(–1, 4) B) E′ (3, 1), F′ (–2, –1), G′(–1, 4) C) E′ (1, 3), F′ (–2, 1), G′(–1, 4) D) E′ (3, 1), F′ (–2, 1), G′(4, –1)

E' (3, 1)

F' (-2, -1)

G' (-1, 4)

Step-by-step explanation:

The rule for rotating 180° is (x, y) ⇒ (-x, -y)

E is at (-3, -1). When the rule is applied, E' is at (3, 1)

F is at (2, 1). When the rule is applied, F' is at (-2, -1)

G is at (1, -4). When the rule is applied, G' is at (-1, 4)

:)

see explanation

step-by-step explanation:

since the sequence is geometric there is a common ratio r between consecutive terms, that is

r = 4 ÷ - 2 = - 2

r = - 8 ÷ 4 = - 2

r = 16 ÷ 8 = - 2

the next term - 13 must be incorrect as it should be - 32 for the sequence to be geometric.

the first 4 terms are therefore geometric with common ratio r = - 2

ljn

step-by-step explanation: