Given: AB ≅ CD ∠EGC ≅ ∠CGB

Prove: ∠AGD is complementary to ∠EGC.

Proof:

StatementhReason

1. given

2. m∠EGB = 90°definition of perpendicular lines

3. ∠EGB = ∠EGC + ∠CGBangle addition

4. ∠EGC + ∠CGB = 90°Transitive Property of Equality

5. ∠EGC is complementary to ∠CGB. definition of complementary angles

6.What is the next step in the given proof? Choose the most logical approach.

A.

Statement: ∠EGC ≅ ∠AGD

Reason: Substitution Property of Equality

B.

Statement: ∠CGB ≅ ∠AGD

Reason: Vertical Angles Theorem

C.

Statement: ∠EGA and ∠EGB are supplementary.

Reason: Linear Pair Theorem

D.

Statement: ∠AGD and ∠DGB are supplementary.

c.   x=2.4cm

step-by-step explanation:

similar triangles are triangles which have the same shape but not the same size. this means their angle measures are equal but their side lengths are not instead they are proportional. to solve, we will set up a proportion and solve.

a proportion is two equal ratios set equal to each other. we form the ratios by finding corresponding sides (sides which match to each other on both triangles by their position). out ratios will be one side of the small triangle over the corresponding side on the big triangle as shown below:

.

to solve the proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.

6mm^3 or .6cm^3

      216

      /   \

  36     6

  /   \     /

6     6   6

factor trees are nice.

none of these

step-by-step explanation:

23 + 34 add up to 57 so just inform the teacher of this really stupid mistake

b is the correct answer