In a dilation with a scale factor of 3/4 the image is *blank* the preimage.

Answer : option A

In a dilation with a scale factor of 3/4 the image is the preimage

In a similar figures, the ratio of the corresponding sides of the figure is called as scale factor. When scale factor is less than 1 then the image is smaller than the preimage. When scale factor is greater than 1 then the image is larger  than the preimage.

Here we are given with scale factor 3/4, that is less than 1

So the image is smaller than and along the same ray as the preimage

m∠cdf = 43° , m∠gdf = 114°, m∠gde = 23°, m∠edh = 23° , m∠cdh = 157°

step-by-step explanation:

since, it is given that de bisects the angle gdh ⇒ de divides the angle gdh into two equal angles.

⇒ m∠gde = m∠edh

⇒ 8·x   - 1 = 6·x + 5

⇒ x = 3

so, m∠gde = 8·x - 1 = 23°

and m∠edh = 23°

now, it is given ∠cde is an straight angle so, m∠cde = 180°

⇒ m∠cdf + m∠fdg + m∠gde = 180°

⇒ 43° + m∠fdg + 23° = 180°

⇒ m∠fdg = 114°

again, m∠cde = m∠cdh + m∠edh = 180°

m∠cdh + 23° = 180°

⇒ m∠cdh = 157°