Question

name jacob arguelles
integrated math ii unit 1 test - version a
$a^{2}+b^{2}=c^{2}$ if a given triangle is a right triangle
$a^{2}+b^{2}>c^{2}$ if a given triangle is an acute triangle
$a^{2}+b^{2}linear pairs are supplementary
vertical angles are congruent
the angles of a triangle must have a sum of 180°

1. given the diagram below, classify each triangle by sides and angles. circle one selection from each column for each triangle
2. answer the following questions about this figure.

Explanation:

Step1: Classify $\triangle ABC$ by angle

Since $\angle A = 100^{\circ}>90^{\circ}$, $\triangle ABC$ is an obtuse - angled triangle.

Step2: Classify $\triangle ABC$ by sides

No two sides are given to be equal, so it is a scalene triangle.

Step3: Classify $\triangle DEC$ by angle

Since $\angle D = 90^{\circ}$, $\triangle DEC$ is a right - angled triangle.

Step4: Classify $\triangle DEC$ by sides

No two sides are given to be equal, so it is a scalene triangle.

Answer:

For $\triangle ABC$:
Angles: Obtuse
Sides: Scalene
For $\triangle DEC$:
Angles: Right
Sides: Scalene