Is the following statement true of false? Givejustification if
1 answer:
Answer:
No , any two quadrilaterals may not be similar if their corresponding angles are congruent.
Step-by-step explanation:
We need to check that whether two quadrilaterals are similar if
their corresponding angles are congruent.
A quadrilateral is a polygon having two sides .
Two figures are said to be similar if they have same shape .
Two angles are said to be congruent if they have same measure .
Consider two quadrilaterals : rectangle and square
Each angle of square and rectangle is equal to . So, their corresponding angles are congruent .
But square and rectangle are not similar as they have different shape .
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slope (m ) = , y - 1 =
( x - 2)
The equation of a line in ' point- slope form 'is
y - b = m (x - a)( m is the slope and (a , b ) a point on the line )
To calculate m use the ' gradient formula'
m = (y₂ - y₁ )/(x₂ - x₁ )
let (x₁, y₁ ) = (2 , 1) and (x₂, y₂ ) = (14 , 31) ← values chosen from table
m = (31 - 1 )/(14 - 2 ) = =
equation in point- slope form using m = and (a,b )= (2 , 1)
y - 1 = ( x - 2)
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