On a basic parallelogram, opposite sides are parallel, diagonals bisect each other and, consecutive angles are supplementary. However on a parallelogram diagonals aren't congruent.
So the answer is D
First you check for Pythagoras' Theorem.
Is 8.6² = 8.1² + 2.6² ?
8.1² + 2.6² = 65.61 + 6.76 = 72.37
8.6² = 73.96
8.1² + 2.6² ≠ 8.6²
Since Pythagoras' Theorem is not satisfied it is not a right angled triangle.
The longest side is 8.6, let's find the angle facing the longest side 8.6.
By cosine formula CosA = (b² + c² - a²) / (2bc)
CosA = (2.6² + 8.1² - 8.6²) / (2*2.6*8.1) = -1.59/42.12 = -0.0377
A = Cos inverse (-0.0377) = 92.1 degrees
So there is an angle is greater than 90 degrees.
Answer:
The answer is below
Step-by-step explanation:
Transformation is the movement of a point from its initial location to a new location. Types of transformation is rotation, reflection, translation and dilation.
Dilation is the increase or decrease in the size of a figure by a factor (k). If k > 1, then it is a enlargement and if k < 1, it is a reduction. If a point A(x, y) is dilated by a factor k, the new point is A'(kx, ky).
Triangle DEF is a dilation of triangle ABC by a factor of 3/4. Hence the coordinates of triangle DEF is:
D(3/4, 9), E(3/4, 9/2), F(3/4, 27/4)
Answer:
2x= 3x-7
-x=-7
x=7
so, the first option
Step-by-step explanation:
