1. The triangle ABC and its image are shown below. a. Sketch a possible line that triangle ABC could translate along to create i
ts image. b. Using complete sentences, explain how you know this could be a possible line the figure was translated along.
1 answer:
Given that:
The triangle ABC and its image are shown below.
Step-by-step explanation:
In the below figure triangle A'B'C' is the image of triangle ABC.
We need to sketch a possible line that triangle ABC could translate along to create its image.
So, connect the corresponding vertices. So, the required lines are AA', BB' and CC '.
In translation, each point of the figure is shifted from point to another point in a particular distance and direction.
Point A, B and C are shifted to A' B' and C' respectively. So AA', BB' and CC' represents the distance and direction of translation.
From the figure it is clear that triangle ABC shifted 10 units right and 6 units down.
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Answer:
Option B is correct.
Step-by-step explanation:
Given: RSTU is a parallelogram.
By definition of parallelogram, two pairs of opposite sides are congruent in length.
⇒ and
In triangle RST and triangle TUR
[Side]
[Side]
[Common side]
SSS(Side-Side-Side) postulates states that if three sides of one triangle are congruent to three sides of other triangle, then the triangles are congruent.
then, by SSS postulates we have;