388,239 views
39 votes
39 votes
ABCDE ~ GHJDF. Complete the statements.A.

ABCDE ~ GHJDF. Complete the statements.A.-example-1
User Gurjit
by
2.9k points

1 Answer

23 votes
23 votes

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

User Poldo
by
2.9k points