Question
Which side of triangle DEF corresponds to side BC of triangle ABC? Not drawn accurately
Answer
4.4
(238 Votes)
Xylona
Expert · Tutor for 3 years
Answer
Side
of triangle DEF corresponds to side
of triangle ABC.
Explanation
## Step 1: Identification of corresponding sides in similar trianglesIn similar triangles, the order of letters when naming the triangle often reflects the correspondence between angles and subsequently, the sides. In other words, in Triangle ABC and Triangle DEF, Angle
is corresponding to angle
, Angle
is corresponding to Angle
, and similarly Angle
corresponds to Angle
. Stating this relationship inversely,
corresponds to
,
corresponds to
, and
corresponds to
respectively. Therefore, when we talk about sides, side
in Triangle ABC, which is located between angles
and
, would correspond to the side for Triangle DEF that is located between the angles that
and
correspond in Triangle DEF. ## Step 2: Determining the corresponding side According to step 1, Angle
corresponds to angle "E", and Angle
corresponds to Angle
. When we locate a side in triangle DEF which forms between angle
and
, it is the side
.