Answer:
A, B, C
Step-by-step explanation:
none of the 4 options changes the shape.
but D changes the size.
C is the only one that also maintains the orientation of the triangle - it only shifts its position.
A and B maintain size and shape, but they do change its orientation.
<span>1- What is the distance formula?
distance = </span>√(x2-x1)² + (y2-y1)²<span>
2- plug in the correct values from the problem, write the diatance formula with substituted values
</span>distance = √(4-(-3))² + (-6-5)²
<span>
3- simplify the expression, what is the distance between the two points?
distance = </span>√170 = 13.04
It's B
Slope is negative, the other must be positive due to m1 x m2 = - 1
m1 = -2/5
The diagram shows a gradient of -2/5. So, the
reciprocal of this valve to make - 1 is 5/2 (which is the - 2/5 flipped upside down, but positive)
-2/5 x 5/2 = - 10/10 (or - 1)
Thus, the perpendicular line to this has a gradient of 5/2.
Hope this helps!
A horizontal translation and a 180 rotation.
Answer:
Step-by-step explanation:
1a) angle x and angle y are corresponding angles. Both angles lie on the same side of the transversal. Since the lines are parallel, the angles are equal.
1b) angle x and angle y are interior angles on the same side of the transversal. Since the lines are parallel, the angles are equal supplementary.
1c) angle x and angle y are corresponding angles. Both angles lie on the same side of the transversal. Since the lines are parallel, the angles are equal.
1d) angle x and angle y are alternate interior angles. They are between the parallel lines and alternate sides of the transversal. Since the lines are parallel, the angles are equal.