shyyyy13
21.08.2020 •
Mathematics
Which statement correctly names the congruent triangles and justifies the reason for congruence? ΔABC ≅ ΔEFD by HL ΔABC ≅ ΔDEF by HL ΔABC ≅ ΔEFD by AAS ΔBAC ≅ ΔDEF by AAS
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Ответ:
ΔABC ≅ ΔEFD by HL
Step-by-step explanation:
The two triangles given, ∆ABC and ∆EFD, are right triangles.
BC in, ∆ABC, is the hypotenuse and has a length of 5 units, which corresponds to hypotenuse, DF, of ∆EFD. DF also has a length of 5 units.
Therefore, BC ≅ DF.
AC in ∆ABC, corresponds to DE in ∆EFD. Both have the same length.
Therefore, AC ≅ DE.
Since we the hypotenuse of both ∆s and 1 of their corresponding legs are equal, we can conclude that both triangles are congruent based on the Hypotenuse-leg congruency statement, which says that if two right triangles have the same hypotenuse length and a corresponding leg that is equal, both triangles are said to be congruent.
Therefore, ΔABC ≅ ΔEFD by HL
Ответ:
Since these pools are similar, they have a scale factor that determines the ratio between each of the sides.
VR = 12
BF = 4
12 / 4 = 3
The scale factor = 3
WZ and TM are similar sides so,
7 * 3 = 21
a = 21