Sketch two more obtuse triangles, each of which is different from the one shown here in some way.Ħ. Sketch two more acute triangles, each of which is different from the one shown here in some way.ĥ. Sketch two more scalene triangles, each of which is different from the one shown here in some way.Ĥ. In the picture below, which angles are understood to have the same measure (even if if doesn’t look that way in the drawing)?ģ. In the picture below, which sides are understood to have the same length (even if it doesn’t look that way in the drawing)?Ģ. Work on the following exercises on your own or with a partner.ġ. Another example is the little square used to indicate a right angle in the picture of the right triangle. You can see examples of these in some of the pictures above. If two sides have the same measurement or the same number of tick marks, you must believe they are equal and work out the problem accordingly, even if it doesn’t look that way to your eyes. Mathematicians either write down measurements or use tick marks to indicate when sides and angles are supposed to be equal. If you look at a picture of a triangle and one side looks like it’s longer than another, that may just mean the drawing was done a bit sloppily. Remember that “geometry is the art of good reasoning from bad drawings.” That means you can’t always trust your eyes. One interior angle measures more than 90 °Īll interior angles have the same measure Classification by sides scaleneĪll interior angles measure less than 90° Here’s a quick dictionary of some types of triangles. The point of learning geometry is not to learn a lot of vocabulary, but it’s useful to use the correct terms for objects, so that we can communicate clearly. Triangles are classified according to different properties. Make a list of the features that you or your partner changed. To make “different” triangles, you have to change some feature of the triangle. Draw two more triangles, different from all the ones that came before.Ĭompare your triangles and descriptions with a partner.Draw a third triangle that is different from both of your other two. Write down a sentence or two to say how it is different. Draw a second triangle that is different in some way from your first one.
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