Question

Two similar triangles are shown below: Two triangles are shown. The sides of the triangle on the left are marked 6, 4, 3. The sides of the triangle on the right are marked as 3, 2 and 1.5. For the triangle on the left, the angle between sides marked 4 and 6 is labeled as w, marked by a double arc, and the angle between the sides marked 6 and 3 is labeled as x, marked by a single arc. The third angle is marked by a triple arc. For the triangle on the right, the angle between sides marked 3 and 1.5 is labeled as y and the angle between the sides marked 2 and 3 is labeled as v, marked by a double arc. The angle between the sides 2 and 1.5 is labeled as z, marked by a triple arc, and it is also the angle on the top vertex of this triangle. Which two sets of angles are corresponding angles? (4 points) a ∠w and ∠v; ∠x and ∠y b ∠w and ∠y; ∠x and ∠v c ∠w and ∠z; ∠x and ∠v d ∠w and ∠z; ∠x and ∠y

Answer 1

Answer:

• a.  ∠w and ∠v; ∠x and ∠y

Step-by-step explanation:

We can see that the scale factor is 2

Corresponding sides have length of:

• 6 and 3;  4 and 2;  3 and 1.5

Therefore corresponding angles, opposite to corresponding sides are:

• ∠x and ∠y;
• ∠w and ∠v

Correct answer option:

• a.  ∠w and ∠v; ∠x and ∠y