Which choices are equations for the line shown below? Check all that apply.
1 answer:
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Answer:- B. No, because the corresponding congruent angles listed are not the included angles.
Explanation:-
Given:- ΔWXY and ΔBCD with ∠X ≅∠C, WX ≅ BC, and WY ≅ BD.
Now, look at the attachment
We can see that ∠X and ∠C are not included angles by the corresponding equal sides.
⇒ We cannot use SAS postulate to show ΔWXY ≅ ΔBCD .
⇒ B is the right option.
SAS postulate tells the if two sides of a triangle and their included angle is equal to the two sides of a triangle and their included angle of another triangle then the two triangles are congruent.
Answer:
x = 11
Step-by-step explanation:
right triangle ABC
using Pythagoras' identity
BC² = 7² + 24² = 49 + 576 = 625 ( take square root of both sides )
BC = = 25
Since the triangles are congruent then corresponding sides are congruent.
ST = BC , that is
3x - 8 = 25 ( add 8 to both sides )
3x = 33 ( divide both sides by 3 )
x = 11