Given: AB ≅ BD ≅ DC ≅ CA, ∠A ≅ ∠B ≅ ∠C ≅ ∠D, and EFGH is a square. Determine whether these two polygons are similar.
Hint
Are they regular?
Answer
Yes, they are similar.
Determine whether JLMO ~ JKNO.
Are the sides proportional?
Determine whether these shapes are similar.
Check the angles and the sides!
No, they are not similar.
These polygons are similar. Find the value of x.
Algebra. Check it out.
x = 5
PQRS and QVST are similar rhombi. If QV = 8, RS = 20, and TV = 6, what is the length of QS?
Corresponding diagonals are proportional!
15
PQRS and QVST are similar rhombi. If PQ = 12, ST = 4, and QS = 6, what is the length of UR?
It's half the proportional diagonal.
9
PQRS and QVST are similar rhombi. If TV = 5 and QS = 10, what is the length of PR?
PR is a line that plays many roles. (Have you seen him in Othello? Just delightful!)
20
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