What is the sequence of steps used to move the triangle in quadrant four to the triangle in quadrant two to show that the triangles are congruent. Original position. E (-2, 5) H (-5, 3) G (-2, 3) new position E (1, -1) H (4, -3) G (1, -3)

Question

The options are
A rotation, 90° clockwise in a translation of (1, 6)
B reflection to quadrant three then a translation of (3, 2)
C reflection to quadrant one, then a translation of (3, 2)
D translation to quadrant two then a rotation 90° counterclockwise

Answer 1

The correct answer is D) translation to quadrant two then a rotation 90° counterclockwise.

To show that the triangles are congruent, we need to move the triangle in quadrant four to the triangle in quadrant two using a combination of translation and rotation.

First, we can translate the triangle in quadrant four by adding (3, -2) to each coordinate:
E (-2, 5) → E (1, 3)
H (-5, 3) → H (-2, 1)
G (-2, 3) → G (1, 1)

Now, we can rotate the translated triangle by 90° counterclockwise. This can be done by switching the x and y coordinates and negating the new x coordinate:
E (1, 3) → E (3, 1)
H (-2, 1) → H (-1, -2)
G (1, 1) → G (-1, 3)

The new position of the triangle after translation and rotation is:
E (3, 1)
H (-1, -2)
G (-1, 3)

Comparing this new position with the triangle in quadrant two, we can see that they are congruent.

Answer 2

b
c
b
a
c
100%

Answer 3

Here are the actual answers i promise these are correct .

1 . rotation, then translation
2. Reflection across the y-axis and then a translation of (-3, -5), etc ...

3 . rotation, then translation
4 . rotation, then translation
5 . reflection to Quadrant III etc ...

100% :)

Answer 4

"<3" is correct guys