What do you need to know for this Category?
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Interpret a Venn diagram question. AND = intersection OR = union
Identify a converse of a given statement.(Logic) FLIP
Identify the inverse of a given statement. (Logic) NOT
Match a verbal argument/statement to symbolic form (Logic)
Interpret/ construct logical arguments. (Law of Detachment / Law of Syllogism)
Identify a figure with point of symmetry. Turn upside down, does it look the same? Then it has
a point of symmetry.
7. Determine slope of a line perpendicular to a given line. Slope of a line is a/b then the
Perpendicular line will have slope – b/a. The product of their slopes is -1.
8. Solve a problem involving parallel lines cut by a transversal. (Do the angles add 180 or are they
congruent?)
9. Interpret the initial steps of an incomplete construction of a perpendicular line through a
point on the line. Go to my blog to see the Step by Step constructions –
blogs.henrico.k12.va.us/lswood
10. Construct a line parallel to a given line through a point not on the given line. Go to my blog to
see the Step by Step constructions – blogs.henrico.k12.va.us/lswood
11. Demonstrate the construction of an angle congruent to a given angle.
12. Use angle relationships to prove lines parallel. Is a//b and c//d ? kind of question.
13. And another Use angle relationships to prove lines parallel. Check angles to see if lines are
parallel.
14. And another Use angle relationships to prove lines parallel.
15. Identify a given transformation. (Rotation? Translation? Dilation? Reflection?)
16. Use midpoint formula to solve a problem. Trick: Use graph paper and slope.
17. Use coordinate methods to determine symmetry of polygons. Look at points on the grid, are
they in the center?
18. Find the distance between two points. Trick: Plot, close triangle, Pythagorean Theorem to
solve.
What do you need to know for this Category?
1. Use trigonometry of properties of special right triangles to solve a problem.(30-60-90 / 45-4590) – Remember that the 45-45-90 is an isosceles triangle, then you can solve by Pythagorean
Theorem, the 30-60-90 remember that the small leg is always ½ of the hypotenuse, then you
can just find the other leg by doing Pythagorean Theorem. You can also use SOH CAH TOA.
2. Determine the length of the side of a triangle using 45-45-90 – Same as above.
3. Use trigonometry to solve a problem. SOH CAH TOA – Use formula sheet and make sure
calculator is in DEGREES – USE THE EQUATION SOLVER!
4. Another Use trigonometry to solve a problem. Even if trying to find an angle. Use the equation
solver with x in place of the angle.
5. Identify a set of Pythagorean triplets. Check if the 3 sides form a right triangle. Use the largest
side as the hypotenuse. Then check to see if a 2  b 2 ?()c 2
6. Use triangle inequality theorem to solve a problem. What could the distance be? You will have
2 sides of a triangle, one will be missing. Calculate range and the answer in in between the
difference and the sum of the given sides.
7. Use triangle inequality theorem to solve a problem. Calculate the Range ___<x< ___
8. Solve a problem using properties of triangles to determine relative size of angles according to
the given sides. (across the longest side is the largest angle and vice-versa)
9. Given measures of the angles of a triangle, order its side measures. Going backwards.
10. Identify Conditions that prove triangles congruent. (Info missing to be what method? AS_ or
SS_?
11. Identify a pair of triangles that are congruent. The triangles have to look the same, angles in
the same place, sides in between the same angles!
12. Identify conditions that prove triangles congruent. You will have a proof to complete and drag
the reasons.
13. Identify a condition that will prove two triangles are similar. SAS~ or SSS~ or AA~ … sides has to
be in proportion. In triangles ABC and DEF, if they are similar: AB / DE = BC / EF and <B = <E it
would be SAS ~
14. Complete a proof to prove two triangles similar. Remember that if // (parallel is mentioned) –
the marking goes to an ANGLE – the Z (alternate interior angles)
What do you need to know for this Category?
1. Integrate multiple analytical skills to determine angle measures of a quadrilateral. Don’t forget
that opposite angles are congruent, consecutives add 180 etc. In the Rhombus and Square the
center diagonals intersect making 90 degrees!
2. Use properties of polygons to solve a problems. According to the numbers of sides, find the
total sum, and calculate x.
3. Determine lengths and segments formed by intersecting chords of a circle. Piece x Piece =
Piece x Piece or Outer x Whole = Outer x Whole, or Outer x Whole = Outer x Outer.
4. Identify the center and diameter/ radius of a circle, given the equation of the circle. Use the
formula sheet, remember the rule, the sign is always the opposite.
5. Solve a problem involving surface area and volume of a 3D object. Use your formula sheet, be
careful, use also your equation solver!
6. Solve a problem involving proportions and similar figures (normal ratio a/b … then square for
area ratio and cube for volume ratio.) To go backwards square root or cubic root.
7. Use algebraic methods to solve problems involving properties of quadrilaterals.
8. Use properties of polygon to solve a problem. How many sides given the interior angle. Find
the exterior one first … then do 360 / ext . angle and that it is equal to the n. of sides.
9. Solve a problem involving the relationship between arcs, angle measures, radius, and
diameter. Formulas to memorize.
10. Write/ identify the equation of a circle, given its center and a point that lies on the circle. Use
the formula sheet – eq. of the circle is on the back.
11. Solve a problem using surface area or volume of a 3D object. Pay attention if it is a shape that
will not work. They will be given the Volume to find the SA. Use equation solver, place X where
you have a variable.
12. Integrate multi analytical skills to find the effect on volume or surface area or volume of a
tree- dimensional object when one or more dimensions are changed. Trick: Get first the
formula and analyze what happens if it gets altered like … on the right … what happens on the
left?
13. Use coordinate methods to solve a problem involving properties of quadrilaterals. It can be a
reflection on a grid, or a parallelogram on the Cartesian plane grid and you have to guess one
the vertices.
14. Determine the sum of the interior angles of a polygon. (n-2) x180
15. Solve a problem involving the relationship between arcs and angles.
16. Solve real- world problem about similar geometric objects.
17. Identify a point that lies on the circle, given the equation of the circle. Plug it in the answers on
x and y at the equation and see which one gives you the radii.
18. Solve a problems involving surface area or volume of a 3D object. Normal Ratio, Area Ratio,
Volume Ratio, then Cross Multiply.
Good Luck on YOUR SOL - YOU CAN DO IT!