Question

Triangle CDE is translated down and to the right, forming triangle C'D'

e. Which congruency statement is correct?
a. ΔDCE ≅ ΔD'E'C'
b. ΔDCE ≅ ΔD'C'E'
c. ΔEDC ≅ ΔC'D'E'
d. ΔEDC ≅ ΔC'E'D'

Answer 1

ΔDCE ≅ ΔD'C'E' Option b.

Explanation:

Here two triangles are given

When we move down it creates the same shape triangle, therefore it has the same order of which the triangle is named.

Triangle is a shape has three angles so when we translated it down It will become as,

CD ≅ C'D'

CE ≅ C'E'

DE ≅ D'E'

SO, It will make three different kinds of triangles, That is why It is named as triangle.

Correct answer is:

ΔDCE ≅ ΔD'C'E'

Option B is correct.

Answer 2

b. ΔDCE ≅ ΔD'C'E'

Explanation:

Triangle is a shape has three angles so when we translated it down It will become as it was .

Translation does not change the length of sides and measure of angles so triangle will remain same after translation .

Translation is shifting of same triangle to new position so there will be no change in the angle or side of the triangle

So,

CD ≅ C'D'

CE ≅ C'E'

DE ≅ D'E'

So, option B is correct .