Which transformation will map an isosceles trapezoid onto itself? a. rotation by 180° about its center b. reflection across a diagonal c. reflection across a line joining the midpoints of the nonparallel sides d. rotation by 360 about its center

D. rotation by 360 about its center.

Step-by-step explanation:

We know that only rotation transformation maps isosceles trapezoid onto itself when we rotate it by 360° about its center.

The order of rotational symmetry is the number of times the figure maps onto itself during a rotation of 360°.

An  isosceles trapezoid has two congruent sides and two non-congruent parallel sides.

It maps onto itself after 1 complete rotation of 360°.

Rest of other options do not map an isosceles trapezoid onto itself.

step-by-step explanation:

a cube has 6 sides

the probability of getting 5 on the first cube is 1/6 since only one side of the cube has 5 on it.

there are 3 sides of the cube with even number on it [2,4,6]

therefore the probability of getting even number is 3/6

for both events to happen together, the probability would be

1/6 x 3/6 = 12/36

which simplifies to 1/12

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step-by-step explanation: