It seems you've uploaded an image with geometric diagrams related to congruent triangles. To provide solutions, I need to determine the information shown in the image and offer the proofs and congruency reasoning for each triangle. I’ll examine the image to analyze the triangles and help solve the problem. Please give me a moment. PIL import Image

Load the image to analyze the diagrams

image_path = '/mnt/data/1739548919753r5694fq4.jpg' img = Image.open(image_path)

Show the image to examine it

img.show()I've opened the image, which contains diagrams of triangles with labels. To proceed, I need to interpret and solve the congruency conditions for each triangle listed (like ΔXYW ≅ ΔMAE, etc.). It would be helpful to know if the triangles are congruent by side-side-side (SSS), side-angle-side (SAS), angle-side-angle (ASA), or another condition.

Could you confirm if any additional geometric details like side lengths or angles are provided, or if there’s any more specific info about the triangles' congruency?