Answer:
Right isosceles triangle
Step-by-step explanation:
In Right isosceles triangle, two angles are acute and equal, while, the third angle is of 90°
Answer:
see the explanation
Step-by-step explanation:
we know that
If the absolute value of the scale factor is less than 1, then the dilation produces a contraction of the original image
If the absolute value of the scale factor is greater than 1, then the dilation produces an expansion of the original image
so
<u><em>Verify each value</em></u>
1) -4


therefore
The dilation produces an expansion of the original image
2) 0.25


therefore
The dilation produces a contraction of the original image
3) -2/3


therefore
The dilation produces a contraction of the original image
4) 2.3


therefore
The dilation produces an expansion of the original image
Answer:
(-5, 3)
Step-by-step explanation:
it translated left 2 units => x'= x-2
down 2 units=> y'= y-2
Answer:
15 inches
Step-by-step explanation:
We assume that the edge of the small square is x (inches).
As the edge of the larger square is 2 inches greater than that of the smaller one, so that the edge of the larger square = edge of the small square + 2 = x + 2 (inches)
The equation to calculate the are of a square is: <em>Area = Edge^2 </em>
So that:
+) The area of the larger square is: <em>Area large square = </em>
<em> (square inches)</em>
+) The area of the smaller square is: <em>Area small square = </em>
<em>(square inches)</em>
<em />
As difference in area of both squares are 64 square inches, so that we have:
<em>Area large square - Area small square = 64 (square inches)</em>
<em>=> </em>
<em />
<em>=> </em>
<em />
<em>=> 4x + 4 = 64</em>
<em>=> 4x = 64 - 4 = 60 </em>
<em>=> x = 60/4 = 15 (inches)</em>
So the length of an edge of the smaller square is 15 inches
Two angles are said to be complementary, if the sum of the measures of the to angles is equal to 90 degrees.
Thus, given that HFG is complementary to ACB, them mHFG + mACB = 90 degrees.
From the figure, given that the line from point F meats line CE at point P, then HFG = CFP.
But mCFE = 90 degrees and mCFE = mCFP + mPFE
Also PFE = DFH
Thus, mCFE = mCFP + mPFE = mHFG + mDFH = 90 degrees
Recall that mHFG + mACB = 90 degrees
Thus, mHFG + mACB = mHFG + mDFH
Therefore, mACB = mDFH.