MCAS REVIEW GEOMETRY AND MEASUREMENT

CIRCLE FORMULAS

Circumference is the distance around a circle.

Both the circumference and area formula require you to find the radius!

CIRCLE - PRACTICE

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PYTHAGOREAN THEOREM Got a right triangle? Need to find a missing side? The Pythagorean Theorem is here to save the day! It is NOT on the MCAS Reference Sheet. You will need to remember it on the day of the test!

Remember: The hypotenuse is the side across from the right angle (“the box”).

Strategy: You can also use it to find the distance between 2 points.

PYTHAGOREAN THEOREM-PRACTICE

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SPECIAL RIGHT TRIANGLES#5

SIMILAR FIGURES

The Facts: 1. Corresponding angles are CONGRUENT.2. Corresponding sides are PROPORTIONAL.

Strategy: If given a similarity statement, connect the corresponding angles.

For example: .

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CONGRUENT FIGURES

The Facts: 1.Corresponding angles

are CONGRUENT.2.Corresponding sides are

CONGRUENT.

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LATERAL SURFACE AREA FORMULAS

Lateral area is the total area of all the surfaces that a figure has but DOES NOT include the bases of the figure.

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LATERAL SURFACE AREA-PRACTICE

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TOTAL SURFACE AREA FORMULAS

Is the sum of the areas of ALL the surfaces that a figure has.

Examples: Wrapping PaperOrange

TIP: You have most of the formulas at your fingertips to solve total surface area problems. If you don’t have the formula for a given figure, just find the area of each side and add them up!

TOTAL SURFACE AREA - PRACTICE

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VOLUME FORMULASIs the amount of 3D space an object occupies. Its units are always “cubic”.

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VOLUME FORMULAS#14

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ReflectionTranslation

TRANSFORMATIONS

Rotation Dilation

A reflection produces a mirror image of a figure along a line of reflection.

A translation moves every point on a figure the same distance in the same direction.

A rotation turns a shape about a fixed point. To perform a rotation, three details are needed: 1) The center 2) The angle of rotation and 3) The direction of rotation

A transformation is a general term for four specific ways to manipulate the shape of a point, a line, or shape.

A dilation is a transformation that produces an image that is the same shape as the original, but a different size. A dilation stretches or shrinks the original figure.

TRANSFORMATIONS-PRACTICE

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PARALLEL LINES CUT BY A TRANSVERSALWhen two parallel lines are cut by a transversal, sets and pairs of specific angles are created. Some of these angles have special characteristics:

Corresponding - Congruent

Alternate Interior - Congruent

Alternate Exterior - Congruent

Vertical Angles (“X”) - Congruent

Same Side Interior –Supplementary

Interior

Exterior

Exterior

PARALLEL LINES CUT BY TRANSVERSAL-PRACTICE

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PERIMETER

Perimeter is the distance around a shape. Add up ALL the sides!TIP: Make sure you LABEL all the sides before you add them!

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AREA FORMULAS

Is the amount of space inside a 2D shape. It is the number of unit squares that can be contained within it.

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AREA FORMULAS-PRACTICE #26

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ARITHMETIC VS. GEOMETRIC SEQUENCES

An arithmetic sequence of numbers where the difference between the consecutive terms in constant. Each term in the sequence is generated by adding the same value to the previous term.

A geometric sequence is a sequence of numbers where there is a constant ratio between the consecutive terms. Each term in the sequence is generated by multiplying each previous term by the same value.

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ARITHMETIC VS. GEOMETRIC SEQUENCES

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ANSWER KEY 1.) C

2.) B

3.) B

4.) C

5a.) 6 miles

5b.) 10.4 miles

5c.) Nancy 6.9 miles

Sanjiv 12 miles

12-6.9=5.1 miles

6.) A

7.)

8.) C

9.) 320 square centimeters10.) A11.)D12.) B13.)C14.) C15.) B16.) B17.) A18.) C19.) D20.) A21.) B22.)C

23.) B24.) C25.) 48 square centimeters26.) C27.) C28.) D29.) C30.) C31.) D32.) A33.) C