Which triangles in the figure to the right are​ congruent? Explain.

Question

11
33
55
44
22

Question content area bottom
Part 1
Which of the following pairs of triangles are​ congruent? Select all that apply.
A.
triangle symbol△1 and triangle symbol△2
B.
triangle symbol△1 and triangle symbol△3
C.
triangle symbol△3 and triangle symbol△5
D.
triangle symbol△1 and triangle symbol△4
E.
triangle symbol△2 and triangle symbol△5
F.
triangle symbol△3 and triangle symbol△4
G.
triangle symbol△4 and triangle symbol△5
H.
triangle symbol△2 and triangle symbol△3
I.
triangle symbol△2 and triangle symbol△4
J.
triangle symbol△1 and triangle symbol△5
Select all that apply

Answer 1

To determine which triangles are congruent, we typically need to use criteria such as the Side-Side-Side (SSS), Side-Angle-Side (SAS), Angle-Side-Angle (ASA), and Angle-Angle-Side (AAS) congruence postulates.

However, without the actual figure, I can't visually assess it. If you indicate the lengths of the sides or measure angles, I can guide you in determining congruence based on that information.

Here's how you might analyze the options if you had that data:

1. Triangle congruence properties:

   • If two triangles have three sides that are congruent in length, they are congruent (SSS).
   • If two triangles have two sides that are congruent and the angle between them is congruent, they are congruent (SAS).
   • If two triangles have two angles that are congruent and the side between them is congruent, they are congruent (ASA).
   • If triangles have two angles congruent and one non-included side congruent, they are congruent (AAS).

2. Matching pairs: For the selected options (A through J), refer to the side lengths and angles of the respective triangles. Without that information, I can't conclude which pairs are congruent.

If you provide the specifics of each triangle's sides and angles from the figure (if this is represented numerically, such as side lengths or angles), I would be more equipped to analyze and select the pairs that are congruent.