Question

1. from the diagram, what can you conclude about $\triangle cad$? it is an equilateral triangle. it is an equiangular triangle. it is an isosceles triangle. it is an obtuse triangle.

Explanation:

Step1: Recall triangle definitions

• Equilateral triangle: All sides are equal.
• Equiangular triangle: All angles are equal (each \(60^{\circ}\)).
• Isosceles triangle: At least two sides are equal.
• Obtuse triangle: One angle is greater than \(90^{\circ}\).

Step2: Analyze \(\triangle CAD\)

From the diagram, we can see that \(CA = DA\) (marked with the same tick - marks). By the definition of an isosceles triangle (a triangle with at least two equal sides), \(\triangle CAD\) satisfies this condition.

We cannot conclude it is equilateral as there is no information that \(CD=CA = DA\). For an equiangular triangle (which is also equilateral), we lack angle information (\(60^{\circ}\) angles). There is no indication of an angle greater than \(90^{\circ}\), so it is not obtuse.

Answer:

It is an isosceles triangle.