![]() Now, what about the angle measures? Well, we already talked about it. So for example, A prime B prime does not sit along the same line as AB. We're lengthening out away from it or if the dilation is going in, we would be shorteningĪlong that same line but some of the segments are not overlapping on the same line. So we're essentially just lengthening out on the point that is not That we are dilating about, point C, sat on those original segments. The corresponding segments, you could call this A primeĬ prime or B prime C prime, do still sit on that same line and that's because the point So for example, when we dilate, so let's look at the segmentĪC and the segment BC, when we dilate, we can see, whoops, when we dilate, we can see Now, what aboutĬorresponding line segments? Are they on the same line? Well, some of them areĪnd some of them aren't. You could call this A prime and this definitely hasĭifferent coordinates than A and B prime definitely hasĭifferent coordinates than B. When it gets mapped after the dilation, it sits in the exact same place but the things that correspond So first of all, do we think the vertices, the coordinates of the verticesĪre going to be preserved? Let's dilate out. Triangle, triangle ABC and we're gonna dilate about point C. So let me scroll down here and so I have the same tool again and now here we have a Questions with another dilation and this is going to be interesting because we're going to look at a dilation that is centered at one of So side lengths, perimeterĪnd area are not preserved. Likewise, if we dilate in like this, they're all getting smaller. ![]() Outwards, all of the segments, the corresponding segmentsĪre getting larger and if they're all getting larger then the perimeter's getting larger and the area's getting larger. See as we dilate outwards, for example, the segmentĬorresponding to AD has gotten longer. Are side lengths, perimeterĪnd area preserved? Well, we can immediately These points right over there and then the last question. Measure of angle B prime and you can see it with all of You can call it angle, the measure of angle B is the same as the Now, the next question, areĪngle measures preserved? Well, it looks like they are and this is one of the things that is true about a dilation is that you're going to ![]() True of these other segments because they don't, because the point Pĭoes not sit on the line that those segments sit on and so let's just expand it again so you see that right over there. Outward along the same lines but that's not going to be P and so as we expand out, this segment right over here is going to expand and shift That contains segment AD, it also goes through point Segment to line segment AD, that does sit on the same line and if you think about why that is, well, if we originally draw a line that, if we look at the line Segments after dilation, are they sitting on the same line and so let me dilate again and so you can see if youĬonsider this point B prime 'cause it corresponds to point B, the segment B prime C prime, this does not sit on the same line as BC but the segment D prime, the corresponding line So the next question, the corresponding line So in this case, theĬoordinates of the vertices are not preserved. The corresponding pointsĪfter the dilation now sit on a different part That corresponds to A now has different coordinates. The point that corresponds to D now has a different coordinate. We can see under anĪrbitrary dilation here, the coordinates are not preserved. Vertices going to be preserved? Well, pause the video and So the first question is are the coordinates of the It about point P here and I have this little Dilation tool. Preserved from dilations and so here we have this quadrilateral and we're going to dilate These worksheets can be downloaded in PDF format for free.Going to do in this video is think about how shapes' properties might be preserved or not ![]() Download Printable Area and Perimeter Worksheet PDFsīy getting sufficient practice with the help of area and perimeter worksheets, a student can score better in exams. Area and perimeter worksheets are very interactive and contain visual simulations that provide a good understanding of the topic. These math worksheets come along with an answer key with a detailed step-by-step method of the solutions that help students study at their own pace. Benefits of Area and Perimeter WorksheetsĪt every step, area and perimeter worksheets make sure students' doubts are being cleared practically while they are working on it first-hand. Students learn how to solve questions relating to the same by practicing problems using these worksheets. Area and perimeter worksheets involve questions on calculating the area and perimeter of different shapes such as square, rectangle, and triangle and complex figures as well like the parallelogram, rhombus, etc.
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