The answer is: AASProving that two triangles are congruent by AAS can be verified when two angles and a non-included side in the first triangle are equal to their corresponding two angles and non-included side in the second triangle.
For the given parallelogram (check attachment):angle AXB = angle CXD (opposite angle)
angle ABX = angle CDX (alternate angles)
AB = CD (opposite sides in parallelogram are equal)
Therefore,
<span>Triangle AXB is congruent to triangle CXD.</span>
Answer:
The correct option is III: 4.5 cm.
Step-by-step explanation:
The area of a square is the following:
(1)
Where:
A: is the area
b: is the side of the square
We have that the area is 20 cm², hence by solving equation (1) for <em>b</em> we can find the side:
Therefore, the correct option is III: 4.5 cm.
I hope it helps you!
Answer:
44+50 =94 in²
Step-by-step explanation:
Trapezoid
A= 1/2h(b1+b2)
A= 1/2*4(7+15)
A=1/2*4(22)
A=44
Rectangle
A=l*w
A=5*10
A=50
44+50 =94 in²
Answer:
Step-by-step explanation:
2/6/8 - 1/5/8 =
The denominator is same, so subtract directly as follows
(2-1)/6-5/8=1(whole number)/1/8
Dilation is a transformation that preserves angles. This means that:
where O(3,-2) is a center of dilation.
These pairs of congruent angles are alternate angles formed with lines LM and L'M' and two transversals OL and OL'. Thus, lines LM and L'M' must be parallel. So option D is true.
If lines LM and L'M' are parallel, then their slopes are equal and option C is true.
Now, since a scale factor is 1/2, the image segment L'M' has length that is one-half of the length of segment LM. Therefore, option A is true and option B is false.
Answer: statement B is false.