Answer:
The two triangles are similar by SAS postulate of similarity ⇒ A
Step-by-step explanation:
Let us revise the cases of similarity
In the given figure
∵ There are 2 triangles
∵ The ratio between 2 corresponding sides in the Δs is [tex]\frac{28}{40}[/tex]
∵ [tex]\frac{28}{40}[/tex] = 0.7
∵ The ratio between the other 2 corresponding sides in the Δs is [tex]\frac{42}{60}[/tex]
∵ [tex]\frac{42}{60}[/tex] = 0.7
→ That means 2 sets of corresponding sides have an equal ratio
∴ The 2 sets of corresponding sides are proportional
→ By using the parallel sides
∵ There are two parallel sides
∴ The angles between the sides 28, 42, and the sides 40, 60 equal
because they are corresponding angles
∴ The included angles are equal in measures
→ By using case 4 above
∴ The two triangles are similar by SAS postulate of similarity
