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Showing posts with label proportion. Show all posts
Showing posts with label proportion. Show all posts

2166

a b c d

Prove the blue and red angles are supplementary and $a:b = c^2:d^2$.

1949

a b c C O P

Prove $\dfrac{CO}{PO} = \dfrac{a+b}{c}$.

1747

a b c d

Given $ab = cd$. Prove the red line segments are congruent.

1702

a b c d

The yellow triangle is isosceles. Prove $a:b = c:d$.

1659

a b

The yellow arc is a semicircle. Prove $a:b = \phi$.

1651

a b

Prove $a:b=1:3$.

1487

A B a b P

The red line bisects each green line segment. Prove $PA:PB = a:b$.

1479

m n p

Prove $\dfrac{m}{n}-\dfrac{n}{p}=1$ and $\dfrac{1}{m}+\dfrac{1}{n+p}=\dfrac{1}{n}$.

1473

a b c na

Prove $b:c = (n-1):2$.

1467

a b c m n

Prove $m:n = (a+b):c$.

1368

a b c d

Prove $\dfrac{a}{b}-\dfrac{c}{d}=1$.

1367

a b c d

Prove $\dfrac{a}{b}-\dfrac{c}{d}=1$.