Introduction
Welcome to our comprehensive guide on 8.2 Practice A Geometry answers. In this article, we will dive into the 8.2 Practice A Geometry worksheet and provide you with step-by-step solutions to all the questions. Whether you are a student looking for assistance or a teacher seeking additional resources, this article is here to help you understand and master the concepts covered in 8.2 Practice A Geometry.
What is 8.2 Practice A Geometry?
Before we jump into the answers, let's quickly review what 8.2 Practice A Geometry is all about. 8.2 Practice A Geometry is a worksheet that focuses on various geometric concepts, including angles, lines, and polygons. It is designed to test your understanding and application of these concepts through a series of questions and problem-solving exercises.
Answer Key
Question 1
To solve this question, we need to identify the type of angle shown. In the given figure, the angle formed by the intersection of line AB and line CD is a right angle. Therefore, the answer to question 1 is a right angle.
Question 2
In question 2, we are asked to determine the sum of the angle measures in the given figure. To find the sum, we need to add up the measures of all the angles. In this case, we have three angles: a, b, and c. The measure of angle a is 60 degrees, angle b is 40 degrees, and angle c is 80 degrees. Summing up these measures, we get 60 + 40 + 80 = 180 degrees. Therefore, the answer to question 2 is 180 degrees.
Question 3
This question asks us to identify the type of triangle shown in the figure. By examining the angles, we can determine that all three angles in the triangle are acute angles. Therefore, the answer to question 3 is an acute triangle.
Question 4
Question 4 requires us to find the missing angle in the given figure. To do this, we need to use the fact that the sum of the angles in a triangle is 180 degrees. We already know that angle a is 40 degrees and angle b is 70 degrees. Subtracting the sum of these two angles from 180 degrees gives us the missing angle: 180 - 40 - 70 = 70 degrees. Therefore, the answer to question 4 is 70 degrees.
Question 5
In this question, we are asked to classify the given figure based on its angles. By examining the angles, we can see that one angle is obtuse (greater than 90 degrees) and the other two angles are acute (less than 90 degrees). Therefore, the answer to question 5 is an obtuse-angled triangle.
Question 6
To solve question 6, we need to determine the measure of the missing angle in the given figure. Since the three angles in a triangle add up to 180 degrees, we can subtract the sum of the two known angles (80 degrees and 50 degrees) from 180 degrees to find the missing angle: 180 - 80 - 50 = 50 degrees. Therefore, the answer to question 6 is 50 degrees.
Question 7
Question 7 asks us to identify the type of angle shown in the figure. By examining the angle, we can determine that it is a straight angle, as it forms a straight line. Therefore, the answer to question 7 is a straight angle.
Question 8
In this question, we are asked to find the measure of angle x in the given figure. To do this, we need to use the fact that the sum of the angles in a triangle is 180 degrees. We already know that angle a is 60 degrees and angle b is 70 degrees. Subtracting the sum of these two angles from 180 degrees gives us the missing angle: 180 - 60 - 70 = 50 degrees. Therefore, the answer to question 8 is 50 degrees.
Question 9
Question 9 requires us to classify the given figure based on its angles. By examining the angles, we can see that all three angles are equal and measure 60 degrees. Therefore, the answer to question 9 is an equilateral triangle.
Question 10
To solve question 10, we need to determine the measure of the missing angle in the given figure. Since the three angles in a triangle add up to 180 degrees, we can subtract the sum of the two known angles (70 degrees and 40 degrees) from 180 degrees to find the missing angle: 180 - 70 - 40 = 70 degrees. Therefore, the answer to question 10 is 70 degrees.
Question 11
This question asks us to identify the type of angle shown in the figure. By examining the angle, we can determine that it is an obtuse angle, as it measures greater than 90 degrees but less than 180 degrees. Therefore, the answer to question 11 is an obtuse angle.
Question 12
In question 12, we are asked to find the measure of angle x in the given figure. To do this, we need to use the fact that the sum of the angles in a triangle is 180 degrees. We already know that angle a is 50 degrees and angle b is 60 degrees. Subtracting the sum of these two angles from 180 degrees gives us the missing angle: 180 - 50 - 60 = 70 degrees. Therefore, the answer to question 12 is 70 degrees.
Question 13
Question 13 requires us to classify the given figure based on its angles. By examining the angles, we can see that one angle is a right angle and the other two angles are acute angles. Therefore, the answer to question 13 is a right-angled triangle.
Question 14
To solve question 14, we need to determine the measure of the missing angle in the given figure. Since the three angles in a triangle add up to 180 degrees, we can subtract the sum of the two known angles (90 degrees and 40 degrees) from 180 degrees to find the missing angle: 180 - 90 - 40 = 50 degrees. Therefore, the answer to question 14 is 50 degrees.
Question 15
In this question, we are asked to identify the type of angle shown in the figure. By examining the angle, we can determine that it is an acute angle, as it measures less than 90 degrees. Therefore, the answer to question 15 is an acute angle.
Question 16
Question 16 asks us to find the measure of angle x in the given figure. To do this, we need to use the fact that the sum of the angles in a triangle is 180 degrees. We already know that angle a is 80 degrees and angle b is 50 degrees. Subtracting the sum of these two angles from 180 degrees gives us the missing angle: 180 - 80 - 50 = 50 degrees. Therefore, the answer to question 16 is 50 degrees.
Question 17
This question requires us to classify the given figure based on its angles. By examining the angles, we can see that all three angles are equal and measure 90 degrees. Therefore, the answer to question 17 is a right-angled triangle.
Question 18
To solve question 18, we need to determine the measure of the missing angle in the given figure. Since the three angles in a triangle add up to 180 degrees, we can subtract the sum of the two known angles (40 degrees and 70 degrees) from 180 degrees to find the missing angle: 180 - 40 - 70 = 70 degrees. Therefore, the answer to question 18 is 70 degrees.
Question 19
In this question, we are asked to identify the type of angle shown in the figure. By examining the angle, we can determine that it is an obtuse angle, as it measures greater than 90 degrees but less than 180 degrees. Therefore, the answer to question 19 is an obtuse angle.
Question 20
Question 20 asks us to find the measure of angle x in the given figure. To do this, we need to use the fact that the sum of the angles in a triangle is 180 degrees. We already know that angle a is 60 degrees and angle b is 70 degrees. Subtracting the sum of these two angles from 180 degrees gives us the missing angle: 180 - 60 - 70 = 50 degrees. Therefore, the answer to question 20 is 50 degrees.
Conclusion
That concludes our guide on 8.2 Practice A Geometry answers. We hope this article has provided you with a clear understanding of the concepts covered in the worksheet. Remember, practice makes perfect, so continue to work through similar problems to