{{ item.displayTitle }}

No history yet!

Student

Teacher

{{ item.displayTitle }}

{{ item.subject.displayTitle }}

{{ searchError }}

{{ courseTrack.displayTitle }} {{ statistics.percent }}% Sign in to view progress

{{ printedBook.courseTrack.name }} {{ printedBook.name }} Starting with the two quadrilaterals, we see that they have the same shape, size, and orientation. What separates them is their position on the coordinate plane. By translating $ABCD$ by $7$ units to the right and $3$ units down, we can map $ABCD$ onto $EFGH.$ Therefore, they are congruent.

Regarding $△STR$ and $△QPO,$ they seem to have the same shape and size. However, since they have both different orientation and location, we are likely dealing with a rotation about the origin. Let's rotate $△QPO$ about the origin $90_{∘}.$

As we can see, a rotation $90_{∘}$ about the origin maps $△QPO$ onto $△STR.$ Therefore, they are congruent. Regarding the final two triangles we see that they do not have the same shape. This means they can't be congruent.