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Each pair of figures is congruent. Decide whether each congruence statement is true or false.
Triangle is congruent to triangle .
Quadrilateral is congruent to quadrilateral .
Triangle is congruent to triangle .
Pentagon is congruent to pentagon .
Here are 3 triangles.
Triangles A C E, P Q R, and L M N. Angle A is 46 point 6 degrees. Side A C is 5 point 9. Side C E is 4 point 3. Angle P is 46 point 6 degrees. Side P Q is 5 point 9. Side Q R is 4 point 3. Angle M is 46 point 6 degrees. Side M N is 5 point 9. Side N L is 4 point 3.
Triangle is a rotation of triangle around point by . Is angle congruent to angle ? If so, explain your reasoning. If not, which angle is congruent to?
Polygon is a reflection and translation of polygon . Is segment congruent to segment ? If so, explain your reasoning. If not, which segment is congruent to?
Quadrilateral is a rotation of polygon . Is angle congruent to angle ? If so, explain your reasoning. If not, which angle is congruent to?
Naming congruent figures so it’s clear from the name which parts correspond makes it easier to check whether two figures are congruent and to use corresponding parts. In this image, segment appears to be congruent to segment . Also, segment appears to be congruent to segment . So, it makes more sense to conjecture that triangle is congruent to triangle than to conjecture triangle is congruent to triangle .
If we are told quadrilateral is congruent to quadrilateral , without even looking at the figures we know:
Quadrilaterals and can be named in many different ways so that they still correspond—such as is congruent to , or is congruent to . But is congruent to means there are different corresponding parts. Note that quadrilateral refers to a different way of connecting the points than quadrilateral .