(i) x = 3
(ii) y = 6
<u>Explanation:</u>
The two polygons are similar.
The congruent angles are:
∠J ≅ ∠G
∠R ≅ ∠M
∠I ≅ ∠A
∠C ≅ ∠T
∠E ≅ ∠H
Proportional sides are:
(i) Value of x = ?
Putting the values from the figure
(ii) Value of y = ?
On putting the value we get:
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.
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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.
