A transformation is rigid if the original shape remains the same shape and size after the transformation.
Flipping a pancake:
After it is flipped, the pancake should stay the same size and shape, so it is a rigid motion and it is a rotation.
Deflating an air mattress:
Deflating a mattress changes its size, so the transformation is not rigid. This is called a dilation.
Moving a clock's minute hand:
Moving the minute hand does not change the hand's size or shape so the transformation is rigid. This transformation is a combination of a translation and a rotation. The translation is what moves the hand around the center of the clock, and the rotation is what changes the direction of the hand.
Enlarging a photo:
Enlarging a photo changes the photo's size, so this transformation is not rigid. This is called dilation.
Putting a golf ball:
Putting does not change the size or shape of a golf ball, so this transformation is rigid. Putting a golf ball both rotates and moves the ball, so the transformation is rotation and translation.
Looking in a car's rear view mirror:
Assuming the car is moving relative to something behind it(because otherwise there would be no transformation), As things come closer to the back of the car, they would appear larger in the mirror, and as things move away from the back of the car, they would appear smaller in the mirror. Because the size changes when looking at the mirror, this is not a rigid transformation and is called dilation.
Lines 2 & 3 are parallel.
Answer:
{-3/2, 4}
Step-by-step explanation:
Use synthetic division here. If the remainder is 0, then the divisor is a root or solution.
Here we have x = -4. Perform the synthetic division as follows:
-4 4 -10 -24
-16 108
------------------------------
4 -26 84 The remainder is 84, which tells us -4 is NOT
a root/solution.
Try -3/2 as divisor this time:
-3/2 4 -10 -24
-6 24
------------------------------
4 -16 0 Remainder is 0, so -3/2 is a solution
Show in the same manner that 4 is a solution also. Or determine whether x - 4 satisfies 4x - 16 = 0 (it does).
Solutions just means the amount of times the lines intersect, so there are no solutions. Since the lines are parallel, they’re going the exact same direction forever and ever, never intersecting. Hope this helps!
Answer:
Step-by-step explanation:
y + 2 = 12(x - 3)
y + 2 = 12x - 36
y =12x - 38
