Get expert insights and community-driven knowledge on IDNLearn.com. Join our Q&A platform to access reliable and detailed answers from experts in various fields.
Sagot :
We have to consider whether two sides of the triangle are proportional or not and also one angle is congruent or not.
What is the similarity theorem of triangles?
Triangles with the same shape but different sizes are said to be similar triangles. Squares with any side length and all equilateral triangles are examples of related objects. In other words, if two triangles are similar, their corresponding sides are proportionately equal and their corresponding angles are congruent. Triangle similarity is indicated here by the symbol (~).
SAS or Side-Angle-Side Similarity
If the two sides of a triangle are in the same proportion as the two sides of another triangle, and the angle inscribed by the two sides in both triangles are equal, then two triangles are said to be similar.
Thus, if ∠A = ∠X and AB/XY = AC/XZ then ΔABC ~ΔXYZ.
From the congruency,
AB/XY = BC/YZ = AC/XZ
and ∠B = ∠Y and ∠C = ∠Z
Hence, we have to consider whether two sides of the triangle are proportional or not and also one angle is congruent or not.
To learn more about SAS or Side-Angle-Side Similarity, visit:
brainly.com/question/22472034
#SPJ4
Thank you for being part of this discussion. Keep exploring, asking questions, and sharing your insights with the community. Together, we can find the best solutions. IDNLearn.com is dedicated to providing accurate answers. Thank you for visiting, and see you next time for more solutions.
