Directions: Do the following: Prove that AHUB ASUB in the figure as marked by listing the pairs of corresponding sides and angles and by using the two-column proof.

Question

asked Oct 7, 2023 56.2k views

1 Answer

Sudhin Davis · Answer 1 · 2023-10-13T21:07:23+0000

Given:

The triangle HUB and triangle SUB are given as shown in the figure.

Required:

To prove that

$\Delta HUB\cong\Delta SUB$

Step-by-step explanation:

We will use two-column method to prove this.

Statements Reason

1) side HU is congruent to side US Congruent sides

2) side HB is congruent to side SB Congruent sides

3)

$\angle H\cong\angle S$

Congruent angles of two triangles.

4)

$\angle B\cong\angle B,\angle U\cong\angle U$

Self-angles congruency (reflexivity of angles).

Hence, we can say that

$\Delta HUB\cong\Delta SUB$

since the sides and angles of both the triangles are congruent.

Hence, the proof.

Final Answer:

We proved that

$\Delta HUB\cong\Delta SUB$