Answer:
Step-by-step explanation:
The distance d between a point (m , n ) and a line in the form
Ax + By + C = 0 , is calculated as
d =
Here (m, n ) = (6, 2 ) and
6x - y = - 3 ( add 3 to both sides )
6x - y + 3 = 0 → A = 6, B = - 1, C = 3
d =
=
=
= ×
= ← cancel 37 on numerator/ denominator
=
The transformations would map EFGH to is a reflection across line k followed by a translation down. Option (a) is correct.
Further explanation:
Given:
The compositions of transformations from EFGH to are as follows,
(a). A reflection across line k followed by a translation down.
(b). A translation down followed by a reflection across line k.
(c). A rotation about point G followed by a translation to the right.
(d). A translation to the right followed by a rotation about point G.
Explanation:
Translation can be defined as to move the function to a certain displacement. If the points of a line or any objects are moved in the same direction it is a translation.
Rotation is defined as a movement around its own axis. A circular movement is a rotation.
The transformations would map EFGH to is a reflection across line k followed by a translation down. Option (a) is correct.
Option (a) is correct.
Option (b) is not correct.
Option (c) is not correct.
Option (d) is not correct.
Learn more:
Answer details:
Grade: Middle School
Subject: Mathematics
Chapter: Triangles
Keywords: rotation, transformation, map, EFGH, composition, translation, triangle, rotation about point A, mapped, triangle pair, mapping, equal angles, sides, congruent, two triangles, common point.
