YKSD-AGS HSGQE Assignment Guide and Key Points
Chapter 12 "Geometry"
Lesson 1 "Angles and Angle Measures"
Turn to Page 357 Look at the picture on the facing page and predict how it relates to Number Systems.
On Page 357 Read the short introduction to Chapter 12
On Page 357 Read the goals you will achieve this Chapter 12 .
Look through Pages 358-359 for the green boxes in the margin. Learn the meanings of the vocabulary words.
Find a place to keep notes on Chapter 12 . Jot down the meanings to the words.
Read through pages 358-359.
Do you understand how each example works? (contact Melinda Lewis with questions mlewis@yksd.com)
Complete the even numbered problems from exercises A, B, and C on page 359 (This is for practice you will be graded only on the quiz and tests)
(Compare your answers with these. If you missed more than 1 then do three more from that section until you get them right.)
Do you know the vocabulary words? (See Key Points below for help)
Take the quiz on Lesson 1 "Angles and Angle Measures" (You may use the book, notes and Key Points for help on the quizzes. NOT ON TESTS!)
Review answers on the quiz and print it out. This will be very useful when you are studying for the test.
Lesson 1 Key Points
Vocabulary Terms
Intersection - a point at which two or more lines cross in a figure.
Ray - Part of a line - a ray has one endpoint and extends indefinitely in one direction.
Vertex - A common point in both sides of an angle.
Protractor - A tool used to draw or measure angles.
Section Review Answers
Did you learn these Objectives?
Can you identify angles by their labeled rays and endpoint?
Are you able to use a protractor to measure angles?
Lesson 2 "Identifying and Classifying Angles"
Look through Pages 360-361 for the green boxes in the margin. Learn the meanings of the vocabulary words.
Jot down the meanings to the words in your notes for studying before the test.
Read through pages 360-361.
Complete the even numbered problems from exercises A, B, C, and D on page 361. (This is for practice you will be graded only on the quiz and tests)
(Compare your answers with these. If you missed more than 1 then do three more from that section until you get them all right.)
Take the quiz on Lesson 2 "Identifying and Classifying Angles" (You may use the book, notes and Key Points for help on the quizzes. NOT ON TESTS!)
Lesson 2 Key Points
Adjacent angles - two angles that have the same vertex and one side in common.
Vertical angles - Pairs of opposite angles formed by intersecting lines - vertical angles have the same measure.
Acute - An angle less than 90º
Obtuse - an angle with a measure between 90º and 180º
Are you able to identify angles formed by intersecting lines as adjacent or vertical?
Can you classify angles as acute, right, obtuse, or straight?
Lesson 3 "Complementary and Supplementary Angles"
Look through Pages 362-365 for the green boxes in the margin. Learn the meanings of the vocabulary words.
Read through pages 362-365.
Complete the even numbered problems from exercises A, B, C, and D on page 365. (This is for practice you will be graded only on the quiz and tests)
(Compare your answers with these. If you missed any do three more from that section until you get them all right.)
Take the quiz on Lesson 3 "Complementary and Supplementary Angles" (You may use the book, notes and Key Points for help on the quizzes. NOT ON TESTS!)
Lesson 3 Key Points
Complementary angles - Two angles whose sum of their measures is 90º
Supplementary angles - Two angles whose sum of their measures is 180º
Did you learn this Objective?
Are you able to identify complementary and supplementary angles?
Can you calculate the measure of one complementary angle, given the measure of the other?
Can you calculate the measure of one supplementary angle, given the measure of the other?
Lesson 4 "Angle Measure in a Triangle"
Look through Pages 366-369 for the green boxes in the margin. Learn the meanings of the vocabulary words.
Write down the meanings to the words in your notes for studying before the test.
Read through pages 366-369.
Complete the even numbered problems from exercises A, B, C, and D on page 369. (This is for practice you will be graded only on the quiz and tests)
Take the quiz on Lesson 4 "Angle Measure in a Triangle" (You may use the book, notes and Key Points for help on the quizzes. NOT ON TESTS!)
Lesson 4 Key Points
Exterior angle - An angle formed by extending one side of a polygon at any vertex.
Interior angle - Any angle with a polygon.
Can you demonstrate that the sum of the measures of the angles in a triangle is 180º?
Are you able to demonstrate that an exterior angle is supplementary to the adjacent interior angle of a triangle?
Are you able to calculate the measures of angles inside and outside a triangle?
Lesson 5 "Naming Triangles"
Look through Pages 370-371 for the green boxes in the margin. Learn the meanings of the vocabulary words.
Read through pages 370-371.
Complete the even numbered problems from exercises A on page 371. (This is for practice you will be graded only on the quiz and tests)
Take the quiz on Lesson 5 "Naming Triangles" (You may use the book, notes and Key Points for help on the quizzes. NOT ON TESTS!)
Lesson 5 Key Points
Tick - a short line used to mark the side of a triangle.
Acute triangle - a triangle with three acute angles.
Obtuse triangle - a triangle with one obtuse angle.
Equiangular triangle - A triangle with three equal angles, each measuring 60º
Can you identify and name triangles according to their angle sizes and side lengths?
Lesson 6 "Congruent Triangles"
Look through Pages 372-373 for the green boxes in the margin. Learn the meanings of the vocabulary words.
Read through pages 372-373.
Complete the even numbered problems from exercises A and B on page 373. (This is for practice you will be graded only on the quiz and tests)
Take the quiz on Lesson 6 "Congruent Triangles" (You may use the book, notes and Key Points for help on the quizzes. NOT ON TESTS!)
Lesson 6 Key Points
Congruent - Figures that have the same size and shape
Did you learn this Objectives?
Can you identify triangles that are congruent?
Can you comprehend that triangles are congruent if they have two sides and an included angle that are equal?
Are you able to comprehend that triangles are congruent if they have three equal corresponding sides.
Can you comprehend that triangles are congruent if they have two angles and an included side that are equal?
Lesson 7 "Similar Triangles"
Look through Pages 374-375 for the green boxes in the margin. Learn the meanings of the vocabulary words.
Copy down the meanings to the words in your notes for studying before the test.
Read through pages 374-375.
Complete the even numbered problems from exercises A and B on page 375. (This is for practice you will be graded only on the quiz and tests)
Take the quiz on Lesson 7 "Similar Triangles" (You may use the book, notes and Key Points for help on the quizzes. NOT ON TESTS!)
Lesson 7 Key Points
Similar - Figures that have the same shape but not the same size.
Corresponding angles - Interior or exterior angles of figures in the same position as those of figures with the same shape.
Are you able to identify similar triangles?
Can you comprehend the proportionality of sides of similar triangles?
Are you able to reason about the similarity of various classes of triangles?
Lesson 8 "Parallelograms"
Look through Pages 376-377 for the green boxes in the margin. Learn the meanings of the vocabulary words.
Read through pages 376-377.
Complete the even numbered problems from exercises A, B, and C on page 377. (This is for practice you will be graded only on the quiz and tests)
Take the quiz on Lesson 8 "Parallelograms" (You may use the book, notes and Key Points for help on the quizzes. NOT ON TESTS!)
Lesson 8 Key Points
None
Are you able to differentiate trapezoids, rhombuses, squares, rectangles, and parallelograms?
Can you identify quadrilaterals by the length and orientation of their lines?
Lesson 9 "Quadrilaterals and Diagonals"
Look through Pages 378-379 for the green boxes in the margin. Learn the meanings of the vocabulary words.
Read through pages 378-379.
Complete the even numbered problems from exercises A and B on page 379. (This is for practice you will be graded only on the quiz and tests)
Take the quiz on Lesson 9 "Quadrilaterals and Diagonals" (You may use the book, notes and Key Points for help on the quizzes. NOT ON TESTS!)
Lesson 9 Key Points
Can you demonstrate that every quadrilateral contains angles totaling 360º?
Are you able to use the Pythagorean theorem to find the lengths of quadrilateral sides and diagonals?
Can you find squares and square roots using a calculator?
Lesson 10 "Polygons and Diagonals"
Look through Pages 380-381 for the green boxes in the margin. Learn the meanings of the vocabulary words.
Read through pages 380-381.
Complete the even numbered problems from exercises A page 381. (This is for practice you will be graded only on the quiz and tests)
Take the quiz on Lesson 10 "Polygons and Diagonals" (You may use the book, notes and Key Points for help on the quizzes. NOT ON TESTS!)
Lesson 10 Key Points
Are you able to construct all possible diagonals from one vertex of a polygon?
Can you identify polygons by the number of their sides?
Are you able to calculate the number of degrees in a polygon as (n-2)180º, where n = number of sides?
Lesson 11 "Reflections in the Coordinate Plane"
Look through Pages 382-385 for the green boxes in the margin. Learn the meanings of the vocabulary words.
Read through pages 382-385.
Work through the even numbered problems in exercises A, B, and C on page 385. (This is for practice you will be graded only on the quiz and tests)
Take the quiz on Lesson 11, "Reflections in the Coordinate Plane" (You may use the book, notes and Key Points for help on the quizzes. NOT ON TESTS!)
Lesson 11 Key Points
Image - reflection of an object
Are you able to understand that an image is an object's reflection over a specific line of reflection?
Can you reflect an image on the coordinate plane over a given line of reflection?
Lesson 12 "Special Reflections: Symmetries"
Look through Pages 386-387 for the green boxes in the margin. Learn the meanings of the vocabulary words.
Read through pages 386-387.
Complete the even numbered problems from exercises A and B on page 387. (This is for practice you will be graded only on the quiz and tests)
Take the quiz on Lesson 12 "Special Reflections: Symmetries" (You may use the book, notes and Key Points for help on the quizzes. NOT ON TESTS!)
Lesson 12 Key Points
Line of symmetry - reflections line of an object that leaves the object and the image in the same place.
Are you able to determine if a line of reflection is also a line of symmetry?
Can you determine the total number of lines of symmetry of a polygon?
Can you draw conclusions about lines of symmetry in relation to a given symmetrical figure?
Lesson 13 "Slides and Translations"
Look through Pages 388-389 for the green boxes in the margin. Learn the meanings of the vocabulary words.
Read through pages 388-389.
Copy the information from the blue box on page 388 into your notes.
Complete the even numbered problems from exercises A, B, and C on page 389. (This is for practice you will be graded only on the quiz and tests)
Take the quiz on Lesson 13 "Slides and Translations" (You may use the book, notes and Key Points for help on the quizzes. NOT ON TESTS!)
Lesson 13 Key Points
transformation - movement of a geometric figure from one location to another.
Translation - Transformation in which a geometric figure slides from one location to another without affecting its size or shape
Are you able to graph the image of a geometric figure according to a given translation?
Can you identify an image point when an object points is mapped by a given translation?
Can you find the image point of any object point under a given translation?
Lesson 14 "Rotations"
Look through Pages 390-393 for the green boxes in the margin. Learn the meanings of the vocabulary words.
Read through pages 390-393.
Complete the even numbered problems from exercises A, B, and C on pages 392-393. (This is for practice you will be graded only on the quiz and tests)
Take the quiz on Lesson 14 "Rotations" (You may use the book, notes and Key Points for help on the quizzes. NOT ON TESTS!)
Lesson 14 Key Points
Rotation - Transformation in which a geometric figure turns around a center without affecting its size or shape.
Are you able to draw an object image using a 90º rotation?
Can you draw an object image using a 180º rotation?
Application of Math from Chapter 12
Read from the top of page 394 and study the example.
Read the directions to the exercises and complete them. (This is for practice you will be graded only on the quiz and tests)
Take the quiz on Applying Chapter 12 , "Plane Cover-Up" (You may use the book, notes and Key Points for help on the quizzes. NOT ON TESTS!)
Application 1 Key Points
Are you able to identify true tessellations?
Can you draw tessellations using several different polygons?
Preparing for Chapter 12 Test
Turn to Pages 395-397 and work through all even numbered problems, (2,4,6,8,...).
Check your answers with these. (This is for practice you will be graded only on the quiz and tests)
If you missed more than 4 problems work through all the odd numbered problems on pages 395-397.
Check your answers with those in the Chapter 12 Review answers.
If you missed more than 4 problems this time contact your instructor for extra help: mlewis@yksd.com.
Take the Chapter 12 Test "Geometry"
Review the answers then print the results for your records.
Congratulations you finished Chapter 12 !!