Geometry (MEANING OF SIMILARITY)
Two similar figures have sides in the ratio of 2:3. If a side of the smaller triangle has a length of 7, what is the length of the corresponding side of the other triangle?
21
If the sides of one triangle are lengths 2, 4 and 6 and another triangle has sides of lengths 3, 6 and_______, then the triangles are similar.
9
If two angles of one triangle are equal to two angles of another triangle, then the triangles are similar because of the _____.
AAA Similarity Postulate
To be considered similar, two polygons must have corresponding sides that are equal.
Always
Polygons must have which of the following characteristics to be considered similar?
Corresponding sides are equal. Both polygons are the same shape. Both polygons are the same size. Corresponding sides are proportional.
Use complete sentences to describe the similarity between the three triangles shown in the diagram below. https://internationalvla.sooschools.com/media/g_geo_ccss_2016/5/groupi10.gif
Each of the corresponding angles of one triangle equal the corresponding angles of the other triangle.
Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers. Below is a drag and drop geometric proof. Complete the proof in your notebook. Click once to select an item at the bottom of the problem. Click again to drop the item in its correct place. Prove C-2 as an activity. https://internationalvla.sooschools.com/media/g_geo_ccss_2016/5/l4htg55.gif https://internationalvla.sooschools.com/media/g_geo_ccss_2016/5/groupi15.gif Choose from these possible answers:
Statement: Reason:
To be considered similar, two polygons must have ______ angles that are equal.
corresponding
If a line intersects two sides of a triangle, then it forms a triangle that is similar to the given triangle.
never
Similar polygons (shown by ~ ):
polygons whose vertices can be matched in 1:1 correspondence so that corresponding angles are equal and corresponding sides are in proportion.
To be considered similar, two polygons must have corresponding sides that are ______.
similar
Triangles similar to the same triangle are ______ to each other.
similar