Question

1. a triangle with side lengths 5 cm, 12 cm, and 13 cm is a:

a. right triangle
b. acute triangle
c. scalene triangle
d. isosceles triangle

1. what does sas stand for in geometry?

a. side - angle - side
b. side - angle - side - angle
c. side - side - side
d. side - side - angle

1. what is the main characteristic of a dilation transformation?

a. it flips the figure.
b. it rotates the figure.
c. it slides the figure.
d. it changes the size of the figure.

Explanation:

10.

• Recall Pythagorean theorem: For a right - triangle, \(a^{2}+b^{2}=c^{2}\), where \(c\) is the longest side. Here, \(a = 5\), \(b=12\), and \(c = 13\). Calculate \(5^{2}+12^{2}=25 + 144=169\) and \(13^{2}=169\). So it's a right - triangle. Also, since all side lengths are different, it's a scalene triangle. A right - triangle is a more specific classification than a scalene triangle for this case.

11.

• In geometry, SAS is a well - known congruence criterion. By definition, SAS stands for Side - Angle - Side.

12.

• A dilation is a transformation that changes the size of a figure. A flip is a reflection, a rotation turns the figure, and a slide is a translation.

Answer:

1. a. Right Triangle
2. a. Side - Angle - Side
3. d. It changes the size of the figure.