Question

mia draws triangles a, b, c, and d, as shown. determine whether each statement about the triangles is true. select true or false for each statement. triangle a is similar to triangle b because 4/3 is equal to 5/4. triangle c is similar to triangle a because 8/6 is equal to 4/3. triangle d is the image of triangle b after triangle b has been dilated with a scale factor of 2 and a center at point p. triangle d is similar to triangle c because the side lengths in triangle d are each 2 units longer than the corresponding side lengths in triangle c.

Explanation:

Step1: Check similarity ratio for A and B

The ratio $\frac{4}{3}
eq\frac{5}{4}$, so they are not similar.

Step2: Check similarity ratio for C and A

For similar triangles, the ratios of corresponding sides are equal. If the ratio of vertical - to - horizontal sides for triangle $A$ is $\frac{4}{3}$ and for triangle $C$ is $\frac{8}{6}=\frac{4}{3}$, they are similar.

Step3: Check dilation from B to D

If triangle $B$ is dilated with a scale factor of 2 centered at $P$, the distances of each point of $B$ from $P$ are multiplied by 2 to get triangle $D$.

Step4: Check similarity based on side - length addition

Similar triangles have proportional side - lengths, not side - lengths that differ by a constant amount.

Answer:

False
True
True
False