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By which rule are these triangles congruent? A) AAS B) ASA C) SAS D) SSS

exis [7]

Answer: A) AAS

Step-by-step explanation:

In the given picture we have two triangles ΔVUW and ΔXUY .

WV ≅ YX

∠UYX≅ ∠UYW

Also, it can be seen that ∠XUY and ∠VUW are vertical angles.

[When two lines intersects then they form two pair of angle known as vertical angles ]

Also, Vertical angles are always congruent.

⇒ ∠XUY ≅ ∠VUW

Now , in ΔXUY and ΔVUW, we have

WV ≅ YX

∠UYX≅ ∠UYW

∠XUY ≅ ∠VUW

So by AAS theorem , we have

ΔVUW ≅ ΔXUY

AAS theorem says that if two angles and a side of a triangle are congruent to two angles and a side of another triangle then the triangles are said to be congruent.

5 0

4 years ago

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What is the surface area of the box if it is scaled up by a factor of 10? THE SURFACE AREA IS 432CM. LEGHT 12CM. WIDTH 6CM. HEIG

marissa [1.9K]

The scale factor for area is the square of the scale factor for linear dimensions. If linear dimensions are scaled up by a factor of 10, the area is scaled up by a factor of 10² = 100.

The area of the larger box is 100×432 cm² = 43,200 cm².

6 0

3 years ago

"An airplane ends up 540 miles and 20 degrees north of east from its departure point. If there was a steady wind of 30 mph from

Olenka [21]

Answer:

vr = $540$