Answer:
= 4·
Step-by-step explanation:
From the midpoint theorem, which states that the line that a line drawn such that it joins the midpoints of two sides of a triangle, is parallel to the third side of the triangle and is equal to half the length of the third side
Therefore, the lengths of the sides of ΔDEF, drawn by joining the midpoints of ΔABC is equal to half the length of and parallel to the corresponding side of ΔABC
We therefore, have that the corresponding sides of ΔABC and ΔDEF have a common ratio and a pair of sides in each triangle form same angles, therefore;
ΔDEF is similar to ΔABC by Side, Side, Side SSS similarity.
The length of the perimeter of ΔABC, = 2 × The length of the perimeter of triangle ΔEDC,
= 2 ×
∴ ≠ 4 ×
The statement which is incorrect is therefore;
= 4 × .
<em>Answer:</em>
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<em>This " / " means or, btw!</em>
<em>Step-by-step explanation:</em>
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<em></em>
<em>⇒Take square root.</em>
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<em> ± </em>
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<em></em>
<em> or </em>
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<em>Hope this helped you!</em>
Answer:
$2,700
Step-by-step explanation:
Let the width of the pasture be x, this means that the length of the pasture will be 2x
The area of a rectangle is L * B
Hence,
x * 2x = 18,000
2x^2 = 180,000
x^2 = 90000
x = 300 meters
This means the length is 600 metres
Now, to get the length of the fence, we need to know the actual perimeter which is 2(L + B)
= 2 ( 300 + 600)
2 * 900 = 1,800 metres
The cost is thus 1,800 * $1.50 = $2,700
21. Broooooo, This is baby stuff!
Answer:
m∠P ≅ m∠L; this can be confirmed by translating point P to point L.
Step-by-step explanation:
Angle angle (AA) similarity postulate state that two triangles are similar if two of their corresponding angle is similar. The corresponding angle for each point of the triangles will be:
∠L=∠P
∠Q=∠M
∠N=∠R
Since the 2nd triangle made from dilation, it should maintain its orientation.
Option 1 is true, ∠P corresponds to ∠L. If you move/translate point P to point L, you can confirm it because their orientation is the same.
Option 2 is false, the triangle will be similar if ∠P=∠N but you can't confirm it with translation alone.
Option 3 and 4 definitely wrong because it speaking about length, not the angle.
