Translation: Translate △ABC to a new position so that point A coincides with point G. This ensures that sides AB and GH are now superimposed.
Rotation: Rotate the translated triangle △ABC clockwise or counterclockwise around point A (which now coincides with point G) until side AB aligns with side GH. This rotation will also cause side BC to align with side HE.
Reflection: Reflect the rotated triangle △ABC across the line containing side AB (or GH). This step will align side AC with side GE.
Translation: Translate triangle △ABC to a new position where point A overlaps with point G. This will make sides AB and GH coincide.
Rotation: Rotate the translated triangle △ABC either clockwise or counterclockwise around point A (which now coincides with point G) until side AB lines up with side GH. This rotation will also align side BC with side HE.
Reflection: Reflect the rotated triangle △ABC over the line that contains side AB (or GH). This will align side AC with side GE.
Multiply 3/7 by 9/10
To multiply 3/7 by 9/10, you simply multiply the numerators together and the denominators together:
(3/7) * (9/10) = (3 * 9) / (7 * 10) = 27/70
Therefore, the product of 3/7 and 9/10 is 27/70.
Multiply 4/9 by −3. Write the answer as a mixed number in simplest form.
To multiply 4/9 by -3, we multiply the numerators and denominators:
(4/9) * (-3) = (4 * -3) / 9 = -12 / 9
To simplify this fraction and express it as a mixed number, we will divide the numerator (-12) by the denominator (9):
-12 ÷ 9 = -1 remainder -3
Therefore, the mixed number in simplest form is -1 3/9, which can be further reduced to -1 1/3.
Multiply 2/3 by 1/14. Write the answer in simplest form.
To multiply 2/3 by 1/14, we multiply the numerators and denominators:
(2/3) * (1/14) = (2 * 1) / (3 * 14) = 2/42
To simplify this fraction, we can divide the numerator (2) and the denominator (42) by their greatest common divisor, which is 2:
2 ÷ 2 = 1
42 ÷ 2 = 21
Therefore, the simplified form of 2/3 multiplied by 1/14 is 1/21.
thats wrong
Apologies for the mistake. Let's correct it.
To multiply 2/3 by 1/14, we multiply the numerators and denominators:
(2/3) * (1/14) = (2 * 1) / (3 * 14) = 2/42
Now let's simplify this fraction. We notice that both the numerator 2 and denominator 42 can be divided by their greatest common divisor, which is 2:
2 ÷ 2 = 1
42 ÷ 2 = 21
Therefore, the simplified form of 2/3 multiplied by 1/14 is 1/21.