In the figure shown, what additional information is needed to show that △ABC≅△DEF by ASA? Enter your answers in alphabetical order.

The additional information to show ΔABC ≅ ΔDEF by ASA is ≅

Step-by-step explanation:

The given parameters in the figure are;

Angle m∠BAC is congruent to angle m∠FDE

Angle m∠ABC is congruent to angle m∠FED

Therefore, in order to show that ΔABC is congruent to ΔDEF, by the Angle-Side-Angle (ASA) rule of congruency, the additional information is the congruency of the included sides between the given angles as follows;

The additional information to show ΔABC ≅ ΔDEF by ASA is is congruent to which can be written as ≅ .

answer:   x = 3 + √11     and     x = 3 - √11

step-by-step explanation:

x² - 6x + 9 = 11

(x - 3)² = 11

x - 3 = ±√11

    x = 3 ± √11

x = 3 + √11     and     x = 3 - √11

d) by the cross product property, ab^2 = bc multiplied by ad

step-by-step explanation:

we are given

in the given triangle abc

angle a is 90° and segment ad is perpendicular to segment bc

we can see that

triangle(abc) and triangle(abd) are similar because they have common side and same angle (90 degree)

so, triangles(abc) and abd are similar

since, they are similar

so, the ratio of their sides must be equal

we get

now, we can cross multiply

and we get

so, this could be step to prove it