Question

assess parallelograms adcb and ehgf to decide if they are congruent. (1 point) no, adcb is not congruent to ehgf because parallelogram adcb was dilated. yes, adcb ≅ ehgf because parallelogram adcb was rotated. yes, adcb ≅ ehgf since parallelogram adcb was translated. yes, adcb ≅ ehgf because parallelogram adcb was reflected.

Explanation:

Step1: Determine coordinates of ADCB vertices

A(1,-6), D(3,-5), C(4,-2), B(2,-3)

Step2: Calculate ADCB side vectors/lengths

AB=(1,3), length=√10; AD=(2,1), length=√5

Step3: Determine coordinates of EHGF vertices

E(4,2), H(6,3), G(7,6), F(5,5)

Step4: Calculate EHGF side vectors/lengths

EH=(2,1), length=√5; EF=(1,3), length=√10

Step5: Check transformation between ADCB and EHGF

ADCB translated by (3,8) gives EHGF (A→E, D→H, C→G, B→F)

Answer:

Yes, ADCB ≅ EHGF because parallelogram ADCB was translated.