What else would need to be congruent to show that abc = def by aas

Mathematics

2 answers:

sashaice [31]4 years ago

5 0

Answer:

The correct option is option A

Step-by-step explanation:

Given two triangles in which ∠B=∠E=50° and AB=DE=10 units.

we have to find the missing condition need to show the two triangles ABC and DEF congruent by AAS.

The condition given are

∠B=∠E

AB=DE

One side and one angle congruent given we need one more angle of both the triangles congruent such that the side does not lies between the two angles.

Hence, the possible angles are ∠C and ∠F.

The correct option is option A

PSYCHO15rus [73]4 years ago

5 0

The AAS or Angle-Angle-Side Postulate states that if you have two pairs of congruent angles and one pair of congruent sides, and the congruent side isn't between the two congruent angles, the two triangles are congruent.

Based on this, angle C must be congruent to angle F for these two triangles to be congruent by AAS. So your answer is A.

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6) the circular base of a hemisphere of radius 2 rests on the base of a square pyramid of height 6. the hemisphere is tangent to

Rasek [7]

The length of the square base is thus $2 x 3\sqrt{2}/2 = 3\sqrt{2}$ = A

<h3>What is hemisphere?</h3>

Consequently, a hemisphere is a 3D geometric object that is made up of half of a sphere, with one side being flat and the other being a bowl-like shape. It is created by precisely cutting a spherical along its diameter, leaving behind two identical hemispheres.

EXPLANATION; Let ABCDE be the pyramid with ABCD as the square base. Let O and M be the center of square ABCD and the midpoint of side AB respectively. Lastly, let the hemisphere be tangent to the triangular face ABE at P.

Notice that triangle EOM has a right angle at O. Since the hemisphere is tangent to the triangular face ABE at P, angle EPO is also 90 degree. Hence, triangle EOM is similar to triangle EPO.

OM/2 = 6/EP

OM = 6/EP x 2

OM = $6\sqrt{6^2 - 2^2} x 2 = 3\sqrt{2}/2}$