SAS similarity theorem says that the two sides of one triangle are proportional to the other sides of the another triangle an one included corresponding angles are congruent.
Further explanation:
SAS similarity theorem says that the two sides of one triangle are proportional to the other sides of the another triangle an one included corresponding angles are congruent.
It can be better explained through an example.
Step 1:
Consider the two triangles
that the corresponding sides are written below.
Step 2:
The length of
is 8 units and the length of
is 32 units.
Therefore, the ratio of
and
can be expressed as,
Step 3:
The length of
is 15 units and the length of
is 60 units.
Therefore, the ratio of
and
can be expressed as,
Step 4:
In the triangle
the angle
.and in
the angle
.
These two angles
and
are corresponding congruent angles.
Step 5:
It can be seen that the ratio of corresponding sides of the triangle are proportionalas,
Therefore, it satisfies the condition of SAS similarity theorem.
Thus,
are similar by SAS theorem.
Learn more:
- Learn more about SSS similarity theorem brainly.com/question/3067398
- Learn more about the symmetry for a function brainly.com/question/1286775
- Learn more about midpoint of the segment brainly.com/question/3269852
Answer details:
Grade: Middle school
Subject: Mathematics
Chapter: Triangle similarity.
Keywords: Triangle, similarity, sides, proportional, ratio, length, theorem, diagram, corresponding sides, angles, sum, fraction