Question

classify each triangle as acute, right, or obtuse. also, classify each as equilateral, isosceles, or scalene.

Explanation:

First Triangle (Top - Left)

Step1: Identify Angle Type

It has a right angle (the little square), so it's a right triangle.

Step2: Identify Side Type

Two sides have one mark, one side has two marks, so two sides are equal? Wait, no—wait, the marks: one side with one tick, one with two ticks, one with a right angle. Wait, actually, in the diagram, two sides have different tick marks? Wait, no, maybe I missee. Wait, the first triangle: right angle, and two sides with different tick counts? Wait, no, maybe it's isosceles? Wait, no—wait, the right triangle: if two sides are equal (legs), then it's isosceles right triangle. Wait, the marks: one side with one tick, one with two ticks? Wait, maybe the diagram has two sides with one tick? Wait, no, the user's diagram: first triangle, right angle, and two sides with different tick marks? Wait, maybe I made a mistake. Wait, let's re - examine. The first triangle: right angle (so right triangle). For sides: if two sides are congruent (marked with same tick), then isosceles. Wait, maybe the marks: one side with one tick, one with two ticks, but maybe it's a typo. Wait, actually, in standard notation, equal tick marks mean equal sides. So if two sides have the same number of ticks, they are equal. Wait, the first triangle: one side with one tick, one with two ticks, and the right angle side? Wait, maybe it's a right isosceles? Wait, no, maybe the diagram is: right angle, and two sides with different tick marks, but maybe it's isosceles. Wait, perhaps the first triangle: right (angle) and isosceles (since two sides are marked as equal? Wait, maybe the ticks: one side with one tick, one with two ticks—no, maybe the user made a drawing error. Wait, let's proceed.

Step1 (Correct): Angle Classification

A right angle (90°) is present, so it's a right triangle.

Step2 (Correct): Side Classification

Two sides have the same number of tick marks (assuming the drawing: maybe two sides are equal), so it's isosceles. So first triangle: right, isosceles.

Second Triangle (Top - Middle)

Step1: Identify Angle Type

One angle is 100° (obtuse, since 100>90), so it's an obtuse triangle.

Step2: Identify Side Type

Two sides have two tick marks, one side has one tick? Wait, no—two sides have three tick marks, one side has one tick? Wait, the diagram: two sides with three ticks, one with one? No, maybe two sides with same ticks. Wait, the triangle has one angle 100° (obtuse), and two sides marked as equal (same tick marks), so it's isosceles. So second triangle: obtuse, isosceles.

Third Triangle (Top - Right)

Step1: Identify Angle Type

All angles are 60° (acute, since 60<90), so it's an acute triangle.

Step2: Identify Side Type

All sides are 5 (marked as equal, since all angles are 60° in an equilateral triangle), so it's equilateral (which is also isosceles, but equilateral is a special case of isosceles). So third triangle: acute, equilateral (or acute, equilateral (isosceles)).

Fourth Triangle (Bottom - Left)

Answer:

s:

1. Top - Left Triangle: Right, Isosceles
2. Top - Middle Triangle: Obtuse, Isosceles
3. Top - Right Triangle: Acute, Equilateral (or Acute, Equilateral (Isosceles))
4. Bottom - Left Triangle: Acute, Isosceles
5. Bottom - Right Triangle: Right, Scalene