Question

Leah claims that these figures are not similar. When she compared the heights, she wrote 2/7. Then she compared the bases and 21/.

Answer 1

Answer:

The two figures are similar and hey are not solid.

Step-by-step explanation:

I think your question is missed of key information, allow me to add in and hope it will fit the original one.  

Leah claims that these figures are not similar. When she compared the heights, she wrote 2/7. Then she compared the bases and 21/6. Why is Leah having trouble? Explain completely

(Please have a look at the attached photo)

My answer:

In the first ratio, she compared the small figure's height to the large figure's height that is: 2/7

In the second ratio, she compared the large figure's base to the small figure's base that is: 21/6

=> She is wrong in this step, the ratio must be 6/21

Hence she needs to compare bases and heights thorugh division because the ratio between heights and the ratio between bases must be equal

$\frac{21}{6}=3.5\\\frac{7}{2}=3.5$

The scales are equal

=> Therefore, those rectangles are congruent.