Question

Which BEST describes the application of the Pythagorean theorem converse?
Responses
A To determine if a shape is a triangleTo determine if a shape is a triangle
B To determine if a triangle is a right triangle.To determine if a triangle is a right triangle.
C To determine a missing side length of a triangleTo determine a missing side length of a triangle
D To determine the missing side length of a right triangle.To determine the missing side length of a right triangle.
Question 2
By the converse of the Pythagorean theorem, which BEST identifies if a triangle is an acute triangle?
Responses
A If
>
+
, then the triangle is acute.If c 2 > a 2 + b 2 , then the triangle is acute.
B If
=
+
, then the triangle is acute.If c 2 = a 2 + b 2 , then the triangle is acute.
C If c ≠
+
, then the triangle is acute.If c ≠ a 2 + b 2 , then the triangle is acute.
D If
<
+
, then the triangle is acute.

Answer 1

**Question 1: Which BEST describes the application of the Pythagorean theorem converse?**

The correct response is:
**B To determine if a triangle is a right triangle.**

**Question 2: By the converse of the Pythagorean theorem, which BEST identifies if a triangle is an acute triangle?**

The correct response is:
**D If c² < a² + b², then the triangle is acute.**

In summary:
- Question 1: B
- Question 2: D