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Congruent triangles are similar figures with a ratio of similarity of 1, that is
1
1
. One
way to prove triangles congruent is to prove they are similar first, and then prove
that the ratio of similarity is 1. In these sections of the text the students find short
cuts that enable them to prove triangles congruent in fewer steps, by developing
five triangle congruence conjectures. They are SSS! , ASA! , AAS! , SAS! , and
HL ! , illustrated below.
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What make triangles congruent?
Triangles are congruent to each other if they have the same 3 sides in length and have the same interior angles.
What congruent shape can 2 right-angled triangles make?
Isosceles triangle
Can two congruent equilateral triangles can be joined to make a rhombus?
no it makes a square.
What are necessary when proving that the opposite sides of a parallelogram are congruent?
A. Corresponding parts of similar triangles are similar.B. Alternate interior angles are supplementary.C. Alternate interior angles are congruent.D. Corresponding parts of congruent triangles are congruent
How do you use two right angled triangles to make a parallelogram?
If they are congruent right angle triangles then just join them together side by side to form a parallelogram.
