![]() I hope that this isn't too late and that my explanation has helped rather than made things more confusing. Quiz 2: 5 questions Practice what you’ve learned, and level up on the above skills. ![]() Quiz 1: 5 questions Practice what you’ve learned, and level up on the above skills. Geometrical shape which have same shape but different size are called similar shape or figure. Triangle congruence from transformations. We use the symbol ‘ ’ to denote congruence. You can then equate these ratios and solve for the unknown side, RT. Two geometrical shapes which are identical in shape and size are said to be congruent. If you want to know how this relates to the disjointed explanation above, 30/12 is like the ratio of the two known side lengths, and the other ratio would be RT/8. Now that we know the scale factor we can multiply 8 by it and get the length of RT: If one of the objects has the same shape and size as the mirror. ![]() If you solve it algebraically (30/12) you get: Hint: Congruent shape means two figures or two objects have exactly the same shape and size. If one shape can become another using Turns, Flips and/or Slides, then the shapes are Congruent: After any of those transformations (turn, flip or slide), the shape still has the same size, area, angles and line lengths. I like to figure out the equation by saying it in my head then writing it out: If I flip it back, we can clearly see that the two objects are the same. In this case you have to find the scale factor from 12 to 30 (what you have to multiply 12 by to get to 30), so that you can multiply 8 by the same number to get to the length of RT. The first step is always to find the scale factor: the number you multiply the length of one side by to get the length of the corresponding side in the other triangle (assuming of course that the triangles are congruent). ![]()
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