ROCK THE TN READY

Test taking strategies to help you ROCK the TN Ready on Monday:

R: READ the question TWICE

O: ORGANIZE your WORK

C: CHECK your ANSWERS

K: KEEP track of TIME

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EVERYTHING you need to know about the test:

· There are two TIMED parts to the Geometry Test on Monday

· Part 1: 1 hour

· Part 2: 1 hour

· You WILL have a Reference sheet

· This TN Ready counts for MORE of your score than the TN Ready we took in February

· Coloring Ms. Norcross’ hair is on the line…….

That’s scary!!!!!!!!!

HOW do I study???

1. Rework missed problems on all of the TN Ready Homework.

2. Correct your wrong answers from Friday’s test.

3. Check out my website blog at knchsgeometry.weebly.com for resources!

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Study Sheet and Sample Problems

TOPIC

THINGS I NEED TO KNOW

PRACTICE PROBLEM

Transformations on Coordinate Plane

Translation:

Rotations:

Reflections:

Rigid Motions

Rigid Motions preserve angle measures and side lengths. We use rigid motions to prove whether or not figures are congruent. The rigid motions are rotations, reflections, and translations.

TOPIC

THINGS I NEED TO KNOW

PRACTICE PROBLEM

Geometric Constructions

Equilateral Triangle Construction

Perpendicular Bisector Construction:

Angle Bisector Construction:

Henry is bisecting

Which two points are on the ray that bisects

A. S and Y

B. R and T

C. W and X

D. X and Y

TOPIC

THINGS I NEED TO KNOW

PRACTICE PROBLEM

Prove Angle Theorems

- Vertical Angles are congruent

- Alternate interior angles are congruent

- Corresponding angles are congruent

- Same side interior angles are supplementary

- Angles on a line add to 180

- Complementary angles add to 90 degrees

The figure shows parallel lines m and n cut by transversals p and q.

Similarity Transformations

A dilation is a similarity transformation that preserves angle measures and creates proportional side lengths.

To find a scale factor on a coordinate plane divide the distance from the image to the center of dilation by the distance from the pre-image to the center of dilation.

Triangle RST is a dilation of triangle KLM with the center of dilation at point C, as shown.

What is the scale factor of this dilation?

A. 1/6

B. ¼

C. 1/3

D. 3/7

TOPIC

THINGS I NEED TO KNOW

PRACTICE PROBLEM

Prove Triangles are Similar

Triangles are similar by

AA, SAS, and SSS.

Similar triangles have proportional side lengths and congruent angle measures.

Which statement would prove there is a similarity transformation between two triangles?

A. If two sides of one triangle are congruent to two sides of another triangle, then the triangles are similar.

B. If two sides of one triangle are proportional to two sides of another triangle, then the triangles are similar.

C. If two angles of one triangle are congruent to two angles of another triangle, the two triangles are similar.

D. If two angles of one triangle are proportional to two angles of another triangle, then the triangles are similar.

Prove Triangles are Congruent

Triangles are congruent by SAS, SSS, ASA, AAS, or Hypotenuse Leg.

Congruent triangles have congruent side lengths AND angle measures.

Three triangles are shown.

Select all statements that must be true.

A. There is a rigid motion that maps to

B. There is no rigid motion that maps to

C. and can be proved to be congruent.

D.

E.

TOPIC

THINGS I NEED TO KNOW

PRACTICE PROBLEM

Prove Triangles are Similar

Triangles are similar by

AA, SAS, and SSS.

Similar triangles have proportional side lengths and congruent angle measures.

Which statement would prove there is a similarity transformation between two triangles?

E. If two sides of one triangle are congruent to two sides of another triangle, then the triangles are similar.

F. If two sides of one triangle are proportional to two sides of another triangle, then the triangles are similar.

G. If two angles of one triangle are congruent to two angles of another triangle, the two triangles are similar.

H. If two angles of one triangle are proportional to two angles of another triangle, then the triangles are similar.

Trig Ratios

SINE=OPP/HYP

COSINE=ADJ/HYP

TANGENT=OPP/ADJ

For right triangles RTS and UVW with right angles T and V

The side lengths of are the corresponding side lengths of RTS.

Chohose the correct value for each trigonometric function.

TOPIC

THINGS I NEED TO KNOW

PRACTICE PROBLEM

Apply Circle Theorems

- A tangent line forms a 90 degree angle with the radius

- Thales Theorem: A Triangle with a diameter as the hypotenuse is a right triangle.

- Chords are congruent if their corresponding central angles are congruent.

- If a diameter bisects a chord then it is perpendicular to the chord.

- Two chords are congruent if they are equidistant from the center.

- Inscribed angles are HALF the measure of their intercepted arc.

- Central angles are EQUAL to the measure of their intercepted arc.

- Central angles are twice the measure of the inscribed angle.

- Two inscribed angles that intercept the same arc are congruent.

- When two chords intersect inside a circle NOT at the center, take the average of the two arc lengths to find the angle measure.

Quadrilateral MNOP and circle O are shown.

Segments MN and MP are tangent to circle O. What is the degree measure of ?

A. 57°

B. 66°

C. 82°

D. 114°

TOPIC

THINGS I NEED TO KNOW

PRACTICE PROBLEM

Find arc length and areas of sectors

Length of arc=

Area of sector =

Radians to degrees: multiply by

Degrees to radians: multiply by

The circle shown has a radius of 4 inches.

Rounded to the nearest tenth, what is the area of the shaded portion of the circle?

Write the equation for parallel and perpendicular lines

Parallel lines have the SAME slope.

Perpendicular lines have the OPPOSITE RECIPROCAL slope.

Slope intercept form=

A line is shown on the graph. Use the grid to graph a line that goes through (–1, –5) and is perpendicular to the line shown.

TOPIC

THINGS I NEED TO KNOW

PRACTICE PROBLEM

Use volume formulas to solve problems

Volume sphere:

Volume of cone:

Volume of rectangular prism:

Surface area of rectangular prism:

Volume of cylinder:

Surface area of cylinder:

Solve modeling questions

1) What is GIVEN?

2) What is the problem ASKING?

3) What FORMULAS will I need to use?

4) SOLVE

The amount of electric current, in units of amperes, that a metal wire can handle before it melts is a function of its cross-sectional area. A piece of wire 100 centimeters in length has a width of 0.2 centimeters. If the wire is rated to melt at 600 amperes per square centimeter, which value is closest to the maximum amperes the wire can handle before it melts?

A. 18

B. 24

C. 38

D. 75

TOPIC

THINGS I NEED TO KNOW

PRACTICE PROBLEM

Write and graph the equation of a circle

Equation of a circle

REMEMBER:

If your equation looks like this:

You need to first, reorder the variables, THEN use completing the square.

1) Write the equation of the following circle:

2) A circle has the equation x2 + y2 – 6x + 4y = 12.

Part A

What is the radius of the circle?

Part B

Create a graph of the circle.

TOPIC

THINGS I NEED TO KNOW

PRACTICE PROBLEM

Visualize cross sections of 3 dimensional figures