WorksheetsSection 8.1 and 8.2: Similarity
Total questions: 9
Worksheet time: 15mins
Find the scale factor from DEFG to PQRS.
2/3
3/2
3
1/3
List all pairs of congruent angles.
∠D = ∠R
∠E = ∠S
∠G = ∠Q
∠F = ∠P
∠D = ∠G
∠E = ∠F
∠R = ∠S
∠Q = ∠P
∠D = ∠P
∠E = ∠Q
∠F = ∠R
∠G = ∠S
∠D = ∠S
∠G = ∠P
∠E = ∠R
∠F = ∠Q
Write the ratios of the corresponding side lengths as a statement of proportionality.
DEPQ=EFQR=FGRS=GDSP
GDPQ=FGQR=EFRS=DESP
RSDE=SPEF=PQFG=GDQR
The polygons are similar. Find the value of x.
16
4
12
3
The polygons are similar. Find the value of x.
12
18
24
9
Determine whether the polygons are similar. If they are write a similarity statement.
No; corresponding angles are not congruent.
ΔHJK∼ΔLMN
Yes;
No, corresponding sides are not proportional.
Determine if the polygons are similar. If so, write a similarity statement.
No, corresponding angles are not congruent.
Yes; ΔEFG∼ΔDFH
No, corresponding sides are not proportional.
The polygons are similar. The area of one triangle is given. Find the area of the other.
100 cm2
90 cm2
86 cm2
30 cm2
The two polygons are similar. Find the ratio of the perimeters of RSTU to ABCD.
2
43
6
34
