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Using Postulates and/or Theorems learned in Unit 1, determine whether ABC~AXY.
Show all your work and explain why the triangles are similar or why they are not.

Using Postulates andor Theorems learned in Unit 1 determine whether ABCAXY Show all your work and explain why the triangles are similar or why they are not class=

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Answer: The triangles are not similar

Explanation:

AB = AX+XB = 8+22 = 30

The ratio of AB to AX is AB/AX = 30/8 = 3.75

AC = AY+YC = 9+33 = 42

The ratio of AC to AY is AC/AY = 42/9 = 4.67 approximately

Since we don't get the same result, this means that the equation AB/AX = AC/AY is not true. The sides are not in proportion with one another, and therefore the triangles aren't similar.

The sides need to be in proportion with one another so we could use the SAS similarity rule.

akposevictor

Considering the SAS similarity theorem, triangles ABC and AXY are not similar triangles.

What is the SAS Similarity Theorem?

The SAS Similarity postulate or theorem, states that, when two triangles have two pairs of corresponding sides whose ratios are the same, and also has a pair congruent included angles, then, both triangles are similar.

Triangles ABC and AXY have a pair of congruent included angles, ∠BAC ≅ XAY.

Let's find out if their corresponding sides have equal ratios.

Thus:

AB/AX = 30/8 = 3.75

AC/AY = 42/9 = 4.67

Their ratios are not equal.

Therefore, considering the SAS similarity theorem, triangles ABC and AXY are not similar triangles.

Learn more about SAS similarity theorem on:

https://brainly.com/question/22472034

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