If rectangle abcd was reflected over the y-axis, reflected over the x-axis, and rotated 180°, where would point a' lie? rectangle formed by ordered pairs a at negative 4, 1, b at negative 4, 2, c at negative 1, 2, d at negative 1, 1. a (1, −1) b (1, 1) c (−4, −1) d (−4, 1)

  d. (−4, 1)

Step-by-step explanation:

The rule of reflection across y axis is given by :-

The rule of reflection across x axis is given by :-

The rule of rotation of 180° is given by :-

Given point A : (-4,1)

After reflection across y-axis the image of A becomes :-

After reflection across x-axis the image of point (4,1) becomes :-

After rotation of 180° the image of point (4,-1) becomes :-

Hence, the point A' lies at (-4,1) .

proofs involving isosceles triangles often require special consideration because an isosceles triangle has several distinct properties that do not apply to normal triangles.(more about triangle types) therefore, when you are trying to prove that two triangles are congruent, and one or both triangles, are isosceles you have a few theorems that you can use to make your life easier.

step-by-step explanation:

an isosceles triangle has two congruent sides and two congruent angles. the congruent angles are called the base angles and the other angle is known as the vertex angle. ∠bac and ∠bca are the base angles of the triangle picture on the left. the vertex angle is ∠abc