Given:
ABCDE ~ GHJDF
Let's complete the statenent to show that ABCDE is similar to GHJDF.
Similar figures have equal corresponding angles and the corresponding side lengths aare in proportion.
Since the figures are similar, the corresponding angles will be congruent.
We have the congruent angles below:
• ∠A = ∠G
,
• ∠B = ∠H
,
• ∠C = ∠J
,
• ∠D = ∠D
,
• ∠E = ∠F
Now, the corresponding proportional sides are:
• AE and GF
,
• AB and GH
,
• BC and HJ
,
• DCand DJ
,
• DE and DF
Therefore, the complete statements are:
• A. ∠H ≅ ∠B
,
• B. GH/DJ = AB/DC
ANSWER:
• A. ∠H ≅ ∠B
,
• B. GH/DJ = AB/DC