btsarmygirlzs btsarmygirlzs

05-03-2018
Mathematics

contestada

△ABC is reflected to form △A′B′C′ .

The vertices of △ABC are A(−7, 1) , B(−5, −3) , and C(−3, 2) . The vertices of △A′B′C′ are A′(−7, −1) , B′(−5, 3) , and C′(−3, −2) .

Which reflection results in the transformation of △ABC to △A′B′C′ ?

A)reflection across the x-axis

B) reflection across the y-axis

C)reflection across y = x

D)reflection across y=−x

Respuesta :

asialynn0401 asialynn0401

12-03-2018

C, Reflection across Y = X

Answer Link

DelcieRiveria DelcieRiveria

03-06-2019

Answer:

The correct option is A.

Step-by-step explanation:

The vertices of △ABC are A(−7, 1) , B(−5, −3) , and C(−3, 2) . The vertices of △A′B′C′ are A′(−7, −1) , B′(−5, 3) , and C′(−3, −2) .

The relation between coordinates of preimage and image is defined as

[tex](x,y)\rightarrow (x,-y)[/tex]

Sign of y-coordinate changes but x-coordinate remains the same. It is possible it the figure is reflection across the x-axis.

Therefore the correct option is A.

Answer Link

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