Question

Which descriptions from the list below accurately describe the relationship
between AXYZ and AUVW? Check all that apply.
10
O
A. Similar
B. Congruent
O C. Same shape
OD. Same size
on apex

Answer 1

Answer:

A) Same shape

C) Similar

Step-by-step explanation:

The figure is missing: find it in attachment.

Here we want to compare the two triangles: Let's analyze each statement.

A) Same shape --> TRUE

In fact, we see that the 3 angles of the two triangles are the same: therefore, the two triangles have same shape.

B) Congruent --> FALSE

Two triangles are said to be congruent if they have same sizes and same angles: here we see that they do not have the same sizes, so they are not congruent.

C) Similar --> TRUE

Two triangles are said to be similar if the proportions between their sides are the same.

For the triangles in the figure, we see that this is valid. In fact, the ratio of the 3 sides for the triangle on the left is 10:8:6, while the ratio for the triangle on the right is 20:16:12, which can be reduced to 10:8:6: therefore, the same ratio.

D) Same size --> FALSE

As we see, the two triangles do not have the same size.