Question

go
for each pair of similar polygons, give three ratios that would be equivalent.
20.
21.
22.
23.

Explanation:

20. Step1: Match corresponding sides

$\frac{3}{1.5}$, $\frac{5}{3}$, $\frac{c}{a}$

20. Step2: Simplify ratios (optional)

$\frac{3}{1.5}=2$, $\frac{5}{3}$, $\frac{c}{a}$
---

21. Step1: Match corresponding sides

$\frac{2}{4}$, $\frac{6}{a}$, $\frac{4}{8}$

21. Step2: Simplify ratios (optional)

$\frac{2}{4}=\frac{1}{2}$, $\frac{6}{a}$, $\frac{4}{8}=\frac{1}{2}$
---

22. Step1: Match corresponding sides/diagonals

$\frac{x}{3}$, $\frac{21}{7}$, $\frac{d}{\sqrt{58}}$

22. Step2: Simplify ratios (optional)

$\frac{x}{3}$, $\frac{21}{7}=3$, $\frac{d}{\sqrt{58}}$
---

23. Step1: Match corresponding sides

$\frac{8}{4}$, $\frac{6}{3}$, $\frac{10}{5}$

23. Step2: Simplify ratios (optional)

$\frac{8}{4}=2$, $\frac{6}{3}=2$, $\frac{10}{5}=2$

Answer:

1. $\boldsymbol{\frac{3}{1.5}}$, $\boldsymbol{\frac{5}{3}}$, $\boldsymbol{\frac{c}{a}}$ (or simplified: $\boldsymbol{2}$, $\boldsymbol{\frac{5}{3}}$, $\boldsymbol{\frac{c}{a}}$)
2. $\boldsymbol{\frac{2}{4}}$, $\boldsymbol{\frac{6}{a}}$, $\boldsymbol{\frac{4}{8}}$ (or simplified: $\boldsymbol{\frac{1}{2}}$, $\boldsymbol{\frac{6}{a}}$, $\boldsymbol{\frac{1}{2}}$)
3. $\boldsymbol{\frac{x}{3}}$, $\boldsymbol{\frac{21}{7}}$, $\boldsymbol{\frac{d}{\sqrt{58}}}$ (or simplified: $\boldsymbol{\frac{x}{3}}$, $\boldsymbol{3}$, $\boldsymbol{\frac{d}{\sqrt{58}}}$)
4. $\boldsymbol{\frac{8}{4}}$, $\boldsymbol{\frac{6}{3}}$, $\boldsymbol{\frac{10}{5}}$ (or simplified: $\boldsymbol{2}$, $\boldsymbol{2}$, $\boldsymbol{2}$)