Reflection over a Line
Read this topicExplanations 5
- Intuitively, we think that reflections are isometries. After all, when we look in the mirror, it seems as though the reflection is our size. So how do we prove this? Suppose tha…
By Sujay Kazi, Victor Wang
- A reflection is colloquially known as a flip because it does the same thing a mirror does −-− flips an object over a line or point or plane into an image. For example, if a poin…
By Ahaan Rungta
- ট্রান্সফর্মেশন হল কোনো আকৃতিকে এমন ভাবে পরিবর্তণ করা যাতে তার পরিবর্তিত আকৃতির সাথে প্রকৃত আকৃতির সাথে কিছু বৈশিষ্টের মিল থাকে। জ্যামিতির সকল ট্রান্সফর্মেশন কে কেবল ৪ টি ভাগে ভা…
By M Ahsan Al Mahir Lazim · বাংলা
- (Video) Reflection by Planet Nutshell Remember this? Who is that girl I see \\ Staring straight back at me? \\ When will my reflection show \\ Who I am inside? \\ Yep, it's from…
By Christine, Alex Federspiel
- (Video) How Do I Reflect a Figure by MashUp Math Here is a video talking about the properties of reflections. Here is a brief summary of the video: A reflection is a mirror imag…
By Christine, Alex Federspiel
Problems 8
- Yang maps a point from (−1,0)(-1,0)(−1,0) to (5,2)(5,2)(5,2). Could it be a reflection?
- In the snail park, there are two sets of four parallel paths, where the lines that are not parallel intersect each other at right angles. You want to place a snail at one endpoi…
- Denote the reflection of point PPP according to the y-axis as P′P'P′. The coordinates of PPP is (5, 17). What are the coordinates of P′P'P′
- The coordinates of QQQ are (-5, 3), the coordinates of Q′Q'Q′ are (1, 3). Q′Q'Q′ is the reflection of QQQ, what is the line of reflection?
- Denote the reflection of point PPP according to the x-axis as P′P'P′. The coordinates of PPP is (3, 11). What are the coordinates of P′P'P′
- Find the line of reflection between the two triangles above.
- We have points A(1, 3), B(5, 2), C(−5, 1)A(1,\,3),\,B(5,\,2),\,C(-5,\,1)A(1,3),B(5,2),C(−5,1) and y-axis is the line of reflection. What are the reflections of the these points?
- We have points A(1, 3), B(5, 2), C(−5, 1)A(1,\,3),\,B(5,\,2),\,C(-5,\,1)A(1,3),B(5,2),C(−5,1) and the line of reflection is ry=0r_{y=0}ry=0. What are the reflections of the the…