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The rule R x-axis ∘ T⟨–5, 3⟩ is applied to the point (–3, –2). Where is the image in the coordinate system?
1 answer:
Given:
Rule of transformation is rule R x-axis ∘ T⟨–5, 3⟩.
The point is (-3,-2).
To find:
The image of given point after the transformation.
Solution:
Consider the given point be P(-3,-2).
Rule of transformation is rule R x-axis ∘ T⟨–5, 3⟩. If means first we have apply translation T⟨–5, 3⟩ after that we have to apply reflection R x-axis.
If a figure translated by T⟨–5, 3⟩, then
If a figure reflected by R x-axis, then
Therefore, the image of given point after transformation is (-8,-1).
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<u>Question 2</u>
1) (given)
2) (reflexive property)
3) are right angles (perpendicular lines form right angles)
4) are right triangles (a triangle with a right angle is a right triangle)
5) (HL)
<u>Question 3</u>
1) is a right angle,
(given)
2) is a right angle (perpendicular lines form right angles)
3) are right triangles (a triangle with a right triangle is a right angle)
4) (reflexive property)
5) (HL)
6) (CPCTC)
7) bisects
(if a segment splits an angle into two congruent parts, it is an angle bisector)