Question

Can someone help me with the concept of this? We have a worksheet with like 45 questions and I have no clue how to do it. We have to say if it’s similar or not and then, how we know theyre similar, and a similarity statement

Answer 1

So since QRS is ~ another triangle, and they are not exactly similar, I assume that the problem wants you to compare QRS with another angle. QRS is closely congruent to UVW (assuming that you are comparing triangles not angles).

Explanation:

All triangles have an angle total of 180 degrees. If you add those two angles together, they have the same sum, and the third anglecan be found by subtracting the total from 180. For example, 95+36 = 131. 180-131=49, which is the third angle for triangle QRS. You can do the same for UVW.

It is important to compare them in order. For instance, Triangle QRS would not be congruent to WVU since they are not in the same order. To compare them in the correct order, compare the angles. Q is about equal to U. R is about equal to V. S is about equal to W since they both have missing angles. Therefore, you can state that triangle QRS is about equal to UVW.

Answer 2

9514 1404 393

Answer:

make use of the ways similarity can be shown

Explanation:

Similarity of triangles can be shown two (2) ways:

1. corresponding angles are congruent
2. corresponding sides are proportional

__

In a worksheet like this, you may see several kinds of problems. The keys will be ...

• the parts that you claim are proportional or congruent must be corresponding
• the sum of angles in a triangle is 180°.

__

When two angles are given, as here, at least one of them in one triangle must match one in the other triangle.

Here, neither of the measures 35 and 96 matches either of the measures 36 and 95. These triangles cannot be similar.

__

Further discussion on working these problems

If one of the numbers does match, then you need to find the third angle to see if it matches the remaining angle. If two numbers match, the triangles are similar by AA.

Even if you find all three angles match, you need to carefully check any similarity statement to make sure it lists the matching angles in the same order.

For example, suppose both sets of angles in these triangles were 94 and 37. ∆QRS lists these in the order 94° angle, 37° angle. Then the similarity statement would have to list the other triangle's vertices in the same order: ∆UVW. A typical problem might claim similarity to ∆VUW, just to see if you're paying attention to detail. That claim would be false.

__

For comparing side lengths, it can work well to compare them smallest-to-largest, or in some other order you find easy to remember.