Question

Which best describes why these two figures are similar or not similar?


2 triangles. Triangle P Q R has angle measures 50 degrees, 64 degrees, 66 degrees. Triangle S T U has angle measures 33 degrees, 79 degrees, 68 degrees.
Clear Check
They are
because their corresponding angles are
.

Answer 1

To determine if the two triangles, PQR and STU, are similar, we need to check the corresponding angles.

For Triangle PQR, the angles are:
- Angle P = 50 degrees
- Angle Q = 64 degrees
- Angle R = 66 degrees

For Triangle STU, the angles are:
- Angle S = 33 degrees
- Angle T = 79 degrees
- Angle U = 68 degrees

Now, let's compare the angles:

- Angle P (50 degrees) does not match any of the angles in Triangle STU.
- Angle Q (64 degrees) does not match any of the angles in Triangle STU.
- Angle R (66 degrees) does not match any of the angles in Triangle STU.
- Angle S (33 degrees), Angle T (79 degrees), and Angle U (68 degrees) do not match any of the angles in Triangle PQR.

Since the corresponding angles in the two triangles are not equal, we can conclude:

They are **not similar** because their corresponding angles are **not equal**.