Question

please help will mark brainliest if correct!! If ΔOPQ is dilated from point Q by a scale factor of 3, which of the following equations is true about segment R prime S prime?

Answer 1

Answer:

The correct option is $\overline {R'S'}$ = 3× $\overline {RS}$

Step-by-step explanation:

The information given are;

The condition if ΔOPQ is expanded laterally from point Q by a factor of 3

We have;

The center of dilation Q will remain in place while the segments $\overline {PO}, \ \overline {PQ}. \ and \ \overline {OQ}$Point will become $\overline {P'O'} \ \overline {P'Q'}, \ and \ \overline {O'P'}$,

Where:

$\overline {P'O'}$ is equal to 3× $\overline {PO}$

$\overline {P'Q'}$ is equal to 3× $\overline {PQ}$

$\overline {O'Q'}$ is equal to 3× $\overline {OQ}$

Therefore, in ΔO'P'Q'

$\overline {O'R'}$ is equal to 3× $\overline {OR}$

$\overline {O'S'}$ is equal to 3× $\overline {OS}$

∴ in ΔRSO, $\overline {R'S'}$ = 3× $\overline {RS}$

The correct option is $\overline {R'S'}$ = 3× $\overline {RS}$