Here are the answers to the unit 2 lesson 3 practice:
Which of the following is the correct way to name the entire figure shown?
Answer: MN both ways
Which of the following is the correct way to name the figure shown?
Answer: QP to the right
Which of the following is the correct way to name the figure shown
Answer: NQ just a line
An angle measures 53°. What are the measures of the angle's complement and supplement?
Answer: complement, 37°; supplement, 127°
Which angle below is an acute angle?
Answer: the 3rd one
What is the correct way to classify the triangle shown below?
Answer: right, isosceles
What is the correct classification for the triangle shown below?
Answer: acute, scalene
What is the correct way to classify the triangle shown below?
Answer: obtuse, isosceles
What is the value of x in the triangle?
Answer: 43°
What is the value of x in the triangle?
Answer: 14°
!DISCLAIMER! Please only use this to check your work do not use this to cheat ;)
To find the answers, you can follow these steps:
1. To name the entire figure shown, you need to identify the endpoints. Look for the endpoints of the figure and name them in order. In this case, the correct way to name the entire figure is "MN."
2. To name the figure shown, you need to identify the direction. Look for the direction from one endpoint to another. In this case, the correct way to name the figure is "QP to the right."
3. To name the figure shown as just a line, you simply name the endpoints without indicating any direction. In this case, the correct way to name the figure is "NQ."
4. To find the complement and supplement of an angle, you need to know that the complement of an angle is 90 degrees minus the angle measure, and the supplement is 180 degrees minus the angle measure. In this case, since the angle measures 53 degrees, the complement would be 90 - 53 = 37 degrees, and the supplement would be 180 - 53 = 127 degrees.
5. To determine which angle is acute, you need to know that an acute angle is any angle that measures less than 90 degrees. Look at the options, and find the angle that measures less than 90 degrees. In this case, the correct answer is the 3rd angle.
6. To classify a triangle, you need to identify its properties. A right triangle has one angle measuring 90 degrees, and an isosceles triangle has two sides of the same length. Look at the given triangle and determine its properties. In this case, the correct classification is "right, isosceles."
7. To classify a triangle as acute or obtuse, you need to determine if all three angles are less than 90 degrees (acute) or if one angle is greater than 90 degrees (obtuse). Additionally, a scalene triangle has all sides of different lengths. Look at the given triangle and determine its properties. In this case, the correct classification is "acute, scalene."
8. To classify a triangle as obtuse or isosceles, you need to determine if one angle is greater than 90 degrees (obtuse) or if all three sides are of the same length (isosceles). Look at the given triangle and determine its properties. In this case, the correct classification is "obtuse, isosceles."
9. To find the value of x in a triangle, you need to apply the triangle sum property, which states that the sum of the angles in a triangle is always 180 degrees. Look at the diagram and determine the values of the other angles. Then, subtract the sum of those angles from 180 to find the value of x. In this case, the value of x is 43 degrees.
10. To find the value of x in a triangle, you need to apply the properties of congruent angles, which state that the angles opposite to congruent sides are congruent. Look at the diagram and identify the congruent angles. In this case, the value of x is 14 degrees.
Remember, it is always important to try to solve the problems on your own before checking the answers. Using these steps will help you understand the process and improve your problem-solving skills.
To name the entire figure shown, the correct way is MN both ways.
To name the figure shown, the correct way is QP to the right.
To name the figure shown, the correct way is NQ just a line.
If an angle measures 53°, its complement would measure 90° - 53° = 37°, and its supplement would measure 180° - 53° = 127°.
The third angle shown in the options is an acute angle.
The correct way to classify the triangle shown below is right, isosceles.
The correct classification for the triangle shown below is acute, scalene.
The correct way to classify the triangle shown below is obtuse, isosceles.
The value of x in the triangle is 43°.
The value of x in the triangle is 14°.