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alukav5142 [94]
2 years ago
8

Can someone help me out? Pls it’s urgent!!! ASAP! (Geometry) “Complete the proof”

Mathematics
1 answer:
Nikitich [7]2 years ago
6 0

1) \overline{WX} \cong \overline{UY}, \angle YXZ \cong \angle XYZ (given)

2) \overline{XY} \perp \overline{XY} (reflexive property)

3) \triangle WXY \cong \triangle UYX (SAS)

4) \overline{WY} \perp\overline{ UX} (CPCTC)

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Answer:

Therefore the equation of the line through ( -2 , -7 ) and ( 5 , 7 ) is

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Step-by-step explanation:

Given:

Slope = 2 = m ( say )

Let,

point A( x₁ , y₁) ≡ ( -2 , -7 )

point B( x₂ , y₂) ≡ ( 5 , 7 )

To Find:

Equation of Line AB =?

Solution:

Equation of a line passing through Two points A( x₁ , y₁) and B( x₂ , y₂)is given by the formula,

(y - y_{1} )=(\frac{y_{2}-y_{1} }{x_{2}-x_{1} })\times(x-x_{1}) \\

Or

Equation of a line passing through a points A( x₁ , y₁) and i having slope m is given by the formula,

(y - y_{1} )=m\times(x-x_{1}) \\

Substituting the given values in a above equation we get

(y-(-7))=2\times (x-(-2))\\ \\(y+7)=2(x+2)\\\\(y+7)=2x+4\\2x-y=3\\2x-y=3...............\textrm{which is the required equation of the line AB}

Therefore the equation of the line through ( -2 , -7 ) and ( 5 , 7 ) is

2x - y = 3

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Step-by-step explanation:

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For example:- If figure 1 is similar to figure 2 then both have same shape and same angles and dimensions are proportional .

If figure 2 is similar to figure 3 then both have same shape and same angles and dimensions are proportional .

⇒ figure 1 is similar to figure 3 the both have same shape and same angles and dimensions are proportional as the figure 2 .

Thus the transitive property holds true for similar figures always.

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