25 point question below

Image point → (13, -3)

Step-by-step explanation:

Rule for the translation of a point (x, y) by shifting 'a' units right and 'b' units down is,

(x, y) → (x + a, y - b)

If a point (-1, -8) has been translated by 4 units right and 5 units down,

(-1, -8) → (-1 + 4, -8 - 5)

          → (3, -13)

Followed by reflection across a line y = -x.

Rule for the reflection of a point (x, y) about a y = -x is,

(x, y) → (-y, -x)

Therefore, reflection of the point (3, -13) will produce an image point as,

(3, -13) → (13, -3)

Hence, image point by the transformations given will be (13, -3).

Image point → (13, -3)

Step-by-step explanation:

Rule for the translation of a point (x, y) by shifting 'a' units right and 'b' units down is,

(x, y) → (x + a, y - b)

If a point (-1, -8) has been translated by 4 units right and 5 units down,

(-1, -8) → (-1 + 4, -8 - 5)

          → (3, -13)

Followed by reflection across a line y = -x.

Rule for the reflection of a point (x, y) about a y = -x is,

(x, y) → (-y, -x)

Therefore, reflection of the point (3, -13) will produce an image point as,

(3, -13) → (13, -3)

Hence, image point by the transformations given will be (13, -3).

m∠5 + m∠3 = m∠1   is true.

m∠5 + m∠6 = 180 is true

m∠2 +m∠3 = m∠6   is true

m∠2 +m∠3 +m∠5 = 180   is true