Unit 3 Review

Polynomial

100

A polynomial that results from multiplying -2x by 4x-1.

What is -8x²+2x?

200

The result of simplifying 5x² + 4x² - 3x².

What is 6x²?

300

*Double Jeopardy*

The result of simplifying 2xy²+3x²y-4x²y+xy².

What is -x²y+3xy²?

400

If we subtract x²-2x-3 from this polynomial, the answer is x²+5x-2.

What is 2x²+3x-5?What are similar triangles?

500

A polynomial that results from multiplying (x+1) by (x²+2x+1).

What is x³+3x²+3x+1?

Angle Relationships

100

Angles inside the parallel lines and on opposite sides of the transversal

Alternate Interior Angles

200

*Double Jeopardy*

If a triangle has a right angle and a 30 degree angle, what is the measurement of the missing angle?

What is 60 degrees?

300

If a triangle has an exterior angle of 78 degrees and a remote interior angle of 30 degrees, what is the measure of the other remote interior angle?

What is 48 degrees?

400

If a straight angle is cut into 3 parts and one of the angles is 25 degrees and another is 50 degrees, how many degrees is the missing angle?

What is 105 degrees?

500

 The sum of the exterior angles of a triangle

What is 360 degrees?

Similar Polygons

100

*Double Jeopardy*

When all pairs of corresponding angles are congruent and all corresponding side lengths are proportional, then two figures are said to be this.

What is similar?

200

This is the reduced form of the ratio 203/87.

What is 7/3?

300

*Double Jeopardy*

This is what x is equal to in the proportion: 12/(5x - 3) = 6/11.

What is 5?

400

Y is the midpoint of AB and Z is the midpoint of AC. If YZ is equal to 4, then this is what BC is equal to.

What is 8?

500

In a dilation enlargement the length of CP' is 8 and the length of CP is 3. The length of PQ is 12. This is the length of P'Q'.

What is 32?

Transformations

100

This is an operation that maps or moves an original figure to a new image.

What is a transformation?

200

*Double Jeopardy*

When the new image of a dilated figure is smaller than the original what range must the scale Factor (K) be 

What is Less than 1 or between 0 and 1 (fraction)?

300

This type of transformation creates a mirror image of the original figure.

What is a reflection?

400

This is the only type of transformation that will contain numbers in the coordinate notation.

What is a translation?

500

This type of transformation uses the coordinate notation (x,y)->(y,-x).

What is a 90^o clockwise rotation?

Proofs

100

*Double Jeopardy*

Triangle MOR has sides MO=6 and OR=10. Triangle GHI has sides HI=4 and GH=3. Angle O and angle H are right angles. Are the triangles similar? Explain.

What is no? 6/3 does not equal 10/4.

200

Triangles FGH and JKH share point H. Also, JK is parallel to FG. Are the triangles similar? Explain.

What is yes. Two angles are congruent.

300

*Double Jeopardy*

Triangles ABC and YZX are similar. AB=5, AC=3, XY=4.5, and YZ=x. Find x.

What is 7.5?

400

Triangle JKL has sides JK=9, JL=12, and KL=15. Triangle PQR has sides PR=1.5, RQ=2, and PQ=2.5. Are the triangles similar? Explain.

What is yes where all sides are proportional?

500

A little boy stands across from a giraffe at the zoo. They are both looking at the same spot on the ground. The spot is 5 ft away from the 5 ft 3 in. boy and is 15 ft from the giraffe. Draw a picture. Are the triangles similar? Explain. If so, find the height of the giraffe.

What is yes by proportion? The giraffe is 15ft 9 in (or 15.75 ft) tall.