6. If $$ riangle C A T \cong riangle D O G $$, and $$ \angle T=90^{\circ} $$ and $$ \angle D=45^{\circ} $$ then $$ \angle O=45 C^{\circ}+\angle T=180^{\circ} $$ 7. In example $$ \# 6 $$ above, how could we classify $$ riangle D O G $$ ? Circle all that apply. Scalene Obtuse Right Equilateral Isosceles

Question

6. If $$ 	riangle C A T \cong 	riangle D O G $$, and $$ \angle T=90^{\circ} $$ and $$ \angle D=45^{\circ} $$ then $$ \angle O=45 C^{\circ}+\angle T=180^{\circ} $$ 7. In example $$ \# 6 $$ above, how could we classify $$ 	riangle D O G $$ ? Circle all that apply. Scalene Obtuse Right Equilateral Isosceles

UpStudy AI · Accepted Answer

To classify $$ \triangle D O G $$ based on the given information, let's analyze the details step by step.

### Given:
1. **Congruent Triangles:** $$ \triangle C A T \cong \triangle D O G $$
2. **Angles Provided:**
   - $$ \angle T = 90^\circ $$ (which corresponds to $$ \angle G $$ in $$ \triangle D O G $$)
   - $$ \angle D = 45^\circ $$

### Analyzing $$ \triangle D O G $$:
1. **Angle Calculation:**
   - Since the sum of angles in a triangle is $$ 180^\circ $$:
   $$
   \angle O = 180^\circ - \angle D - \angle G = 180^\circ - 45^\circ - 90^\circ = 45^\circ
   $$
   - So, the angles in $$ \triangle D O G $$ are $$ 45^\circ, 45^\circ, $$ and $$ 90^\circ $$.

2. **Classification Based on Angles:**
   - **Right Triangle:** It has a $$ 90^\circ $$ angle.
   - **Isosceles Triangle:** Two angles ($$ 45^\circ $$ and $$ 45^\circ $$) are equal, which means two sides are also equal.

3. **Eliminating Other Classifications:**
   - **Scalene:** This would require all sides and angles to be different, which is not the case here.
   - **Equilateral:** All angles would need to be $$ 60^\circ $$, which isn't true for this triangle.
   - **Obtuse:** An obtuse triangle has one angle greater than $$ 90^\circ $$, which is not present here.

### **Final Classification:**
- **Right**
- **Isosceles**

**Therefore, you should circle:**

- **Right**
- **Isosceles**
$$ \triangle D O G $$ is a **Right** and **Isosceles** triangle.

If , and
and then

In example above, how could we
classify ?
Circle all that apply.
Scalene Obtuse Right
Equilateral Isosceles

Upstudy AI Solution

Answer

Solution

Mind Expander

Related Questions

Latest Geometry Questions

If , and and then In example above, how could we classify ? Circle all that apply. Scalene Obtuse Right Equilateral Isosceles