Question

Parallelogram JSTP∼parallelogram BFMY

Drag the answers into the boxes to match each part of parallelogram JSTP with the corresponding part of parallelogram BFMY .

Answer 1

Explanation:

p=y

by looking at the end of the angles you can tell that P is corresponding to y

ST=FM

since both are in the middle of their angles they are both considered a corresponding

T=M

both are the third within their angle there for corresponding

JP=BY

both are within the same place with therefore equal

Answer 2

`\angle P=\angle Y;`

`\overline {ST}` and
`\overline {FM};`

`\angle T=\angle M;`

`\overline {JP}` and
`\overline {BY}.`

Explanation:

Similar figures have proportional corresponding sides and congruent corresponding angles. If parallelogram JSTP is similar to parallelogram BFMY, then

• 
  `\angle J=\angle B;`
• 
  `\angle S=\angle F;`
• 
  `\angle T=\angle M;`
• 
  `\angle P=\angle Y;`
• 
  `(JS)/(BF)=(ST)/(FM)=(TP)/(MY)=(JT)/(BM)=(JP)/(BY)=(SP)/(FY).`