Common Core Geometry Unit 1 Lesson 5 Homework Answers
Common Core Geometry Lesson 5 covers lines, angles, and their properties. Students have homework to solve related problems. This article provides answers, solutions, and explanations for the homework questions.
Lesson 5 Homework Answers for Common Core Geometry Unit 1
In question 1, students are asked to identify and classify various types of angles based on their measurements. The correct answers for this question are:
- Angle A: Obtuse angle
- Angle B: Right angle
- Angle C: Acute angle
- Angle D: Obtuse angle
- Angle E: Right angle
In question 2, students are given a diagram with two parallel lines intersected by a transversal line. They are asked to identify and classify the angles formed by the transversal. The correct answers for this question are:
- Angle F: Corresponding angle
- Angle G: Alternate exterior angle
- Angle H: Alternate interior angle
- Angle I: Vertical angle
- Angle J: Corresponding angle
In question 3, students are required to find the measure of a missing angle in a given diagram. The correct answer for this question is: Angle K = 45 degrees.
Detailed Solutions and Explanations for Lesson 5 Homework in Common Core Geometry
In order to determine the types of angles in question 1, students need to measure each angle using a protractor. Once the measurements are obtained, they can classify the angles according to their sizes. An obtuse angle measures more than 90 degrees, a right angle measures exactly 90 degrees, and an acute angle measures less than 90 degrees.
To identify the types of angles in question 2, students need to apply the properties of parallel lines and their transversals. Corresponding angles are congruent and are located on the same side of the transversal line and the same side of the parallel lines. Alternate exterior angles are located on opposite sides of the transversal and outside the parallel lines. Alternate interior angles are located on opposite sides of the transversal and inside the parallel lines. Vertical angles are formed by two intersecting lines and are congruent.
In question 3, students can determine the measure of angle K by using the properties of the angles in a triangle. The sum of the angles in a triangle is always 180 degrees. Since two of the angles are given as 90 degrees and 45 degrees, the missing angle can be found by subtracting the sum of the given angles from 180 degrees.
Mastering lines, angles, and their properties is vital in studying Common Core Geometry. Lesson 5’s homework provides answers, detailed solutions, and explanations to help students strengthen their understanding. By practising these skills, students lay the groundwork for advanced geometry topics.