Question

I'm quite confused on what I'm supposed to do here.

Answer 1

Hiya,

We literally just learnt about congruent shapes before the holidays.

I think it's like this-

If the shape is an SSS (Side, Side, Side) congruent or SAS (Side, Angle, Side), then you do the following:

a) Write the congruent statement... I'm not sure what the congruent statement is but it may be something you have learnt to do previously like an expression on revealing how to find the congruent shape and what type it is.

b) Sorry I'm not sure what a postulate is you may need to look back at your notes or research it.

I have attached images of the worksheet we were given in class which may or may not help!

Answer 2

6. ΔANG ≅ ΔRWT by SAS Postulate.

7. The two triangles are congruent by SAS Postulate.

Explanation:

Side-Angle-Side Postulate (SAS)

If two sides and the included angle in one triangle are congruent to two sides and the included angle in another triangle, the triangles are congruent.

Question 6

The included angle is the angle between two sides of a triangle.

Therefore:

• The included angle between AN and GN is angle N.
• The included angle between RW and TW is angle W.

We are told that AN ≅ RW, GN ≅ TW, and ∠N ≅ ∠W.

Therefore, as two sides and the included angle in triangle ANG is congruent to the two sides and the included angle in triangle RWT, the SAS Postulate can be used to prove that the triangles are congruent.

Question 7

The two given triangles have two sides of equal length, denoted by the same number of tick marks on each congruent line segment. The included angles are also congruent (both are 90°). Therefore, the SAS Postulate can be used to prove that the triangles are congruent.