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Consider the polygons, Name a series of transformations that will take AABC to AA'B'C'.

What do we need to know about the triangles to show that they are congruent?

Consider the polygons, Name a series of transformations that will take AABC to AA-example-1

1 Answer

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Answer:

A. The triangle in quadrant 2 will reflect over the y axis onto quadrant 1 and then slide over the x axis to quadrant 4.

B. Congruent means same shape and same size. So congruent has to do with comparing two figures, and equivalent means two expressions are equal. So to say two line segments are congruent relates to the measures of the two lines are equal. So basically triangles are congruent when they have the same shape and size. So if you have two triangles and you can transform (for example by reflection) one of them into the other (while preserving the scale), the two triangles are congruent.

If you flip/reflect MNO over NO it is the "same" as ABC, so these two triangles are congruent.

You need to find the SSS, AAS, ASA, SAS

Explanation:

SSS: When all three sides are equal to each other on both triangles, the triangle is congruent

AAS: If two angles and a non-included (you can think of it as outside) side of one triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent.

ASA: If two angles and the included side of one triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent.

SAS: If any two angles and the included side are the same in both triangles, then the triangles are congruent.

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