Amsco's Virginia: Preparing for the SOL Geometry Test by Lorenza Luster and Helen Benyard Luster

By Lorenza Luster and Helen Benyard Luster

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1b ❐ The student will construct and judge the validity of a logical argument consisting of a set of premises and a conclusion. This will include translating a short verbal argument into symbolic form. Translating When translating a sentence from English into symbolic form, there are certain Sentences Into commonly used symbols that you will find helpful. They are located in the Symbolic Form table: To show the negation of a statement, place the symbol ~ before the letter representing the original statement.

Copy the given sketch on a piece of patty paper. A ഞ Constructions with Compass and Straightedge—Working with Angles • 27 Step 2. Fold the line ᐉ on top of itself until the folded edge passes through the point A. A ഞ Step 3. Unfold and flatten. ഞ A Result: The crease is the line perpendicular to line ᐉ passing through the point A. Model Problem 5 Given: ЄBAC. B A C Construct the angle bisector of ЄBAC. Note: An angle bisector is a ray dividing an angle into two equal parts. B Straightedge and Compass: 28 • Lines and Angles Step 1.

30° 45° 60° 90° What is the measure of Є1 in the figure below? A B 100° 1 30° D F G H J 80° 50° 30° 20° 14 • Lines and Angles 100° 50° C Find the value of x in degrees. F 45° G 60° H 90° J 135° 9. The body of a crane is in the shape of a hexagon. What is the value of x in degrees? A 80° B 118° C 142° D 162° 10. x 108° PRACTICE 3 Objective: x 108° In order to cut out a regular pentagon from a piece of paper, what should be the measure of each angle of the pentagon? 4 ❐ The student will use the relationships between angles formed by two lines cut by a transversal to determine if the two lines are parallel and verify, using algebraic and coordinate methods as well as deductive proofs.

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