3/7 5th 6 Weeks **Extra Credit**

2/11-12: 4th 6 Weeks **Extra Credit**

Dilations, Pythagorean Theorem, Parallel Lines cut by a Transversal, Interior & Exterior Angles of a Triangle, Volume

Dilations

• Scale Factor

• On the Coordinate Plane

• Measurement - Perimeter & Area

• Algebraic Rule (x,y) --> (nx,ny) n=scale factor

Multiple Choice

State the coordinate of the image of the given point B (4,9) under a dilation with center at the origin with the given scale factor of 2.

• B' (2 , 4.5)

• B' (-8 ,-18)

• B' (8 ,18)

• B' (9 ,4)

Multiple Choice

The __________ is the ratio of a length of the new figure to the corresponding length on the original figure.

• reduction
• enlargement
• scale factor
• center of dilation

Multiple Choice

When the scale factor of a dilation is less than one, the dilation is a reduction.

• True
• False

Multiple Choice

When a dilation has a scale factor greater than one, the dilation is an enlargement.

• True
• False

Multiple Choice

A dilation is which of the following: 

• only an enlargement
• only a reduction
• Either an enlargement or a reduction
• Neither an enlargement or a reduction

Multiple Choice

Enlargement or reduction?  Find the scale factor!

• It's an enlargement; the scale factor is 3.
• It's a reduction; the scale factor is 1/3.
• It's a reduction; the scale factor is 1/2.
• It's an enlargement; the scale factor is 2. 

Multiple Choice

Dilate Point B by a scale factor of 1/2

• (1.5,-4)
• (-1.5,1)
• (-1,-1.5)
• (-2,-2)

Multiple Choice

Does the image show a Dilation?

• Yes
• No

Multiple Choice

If your SF = 0.8, what type of dilation is it?

• Reduction

• Enlargement

Multiple Choice

In a dilation what mathematical operation is used with the scale factor?

• addition 
• subtraction 
• multiplication 
• division 

Pythagorean Theorem

• Model of the Pythagorean Theorem

• Finding the hypotenuse vs a leg

• Converse

• Distance on a Coordinate Plane

Multiple Choice

A rectangular field is 50 yards wide and 100 yards long. Patrick walks diagonally across the field. How far does he walk? (Be sure to work out this problem on paper by drawing a model and substituting values in for the formula.)

• 111.8 yards

• 115 yards

• 127.3 yards

• 119 yards

Multiple Choice

What is the area of square b in the figure shown?

• 24 in²
• 96.6 in²
• 74 in²
• 576 in²

Multiple Choice

What is the area of the third square?

• 6.7 cm²
• 33.5 cm²
• 2025 cm²
• 45 cm²

Multiple Choice

The model represents what relationship?

•  $a^2\ +\ b^3\ =\ c^4$  

•  $a^2+\ c^2=\ b^2$  

•  $a\ +\ b\ =\ c$  

•  $a^2\ +\ b^2\ =c^2$  

Multiple Choice

Could the three squares below be positioned so that they model the Pythagorean Theorem by meeting at a right triangle?

• True

• False

Fill in the Blanks

Multiple Choice

Three square rooms in Joey's house meet to form a right triangle as shown. Joey is going to put new carpet to cover the floor of each room as well as new trim around the edges of each room. Which is a true statement based on the diagram?

• The amount of carpet needed in Room Z should be the same as the carpet needed in both Room X and Room Y

• The amount of trim needed in Room Z should be the same as the trim needed in both Room X and Room Y.

• Both statements above are true.

• Neither statements above are true.

Multiple Choice

Level 1

If a right triangle has side lengths 6, 6.7 and 3, which side is the hypotenuse?

• 6

• 6.7

• 3

• 15.7

• None of them

Multiple Choice

Which set of side lengths does not form a right triangle?

• 38, 80, 90
• 16, 63, 65
• 36, 77, 85
• 14, 15, 29

Multiple Choice

A soccer field is a rectangle 90 meters wide and 120 meters long. The coach asks players to run from one corner to the corner diagonally across. What is this distance?

• 210 m

• 180 m

• 150 m

• 79 m

Multiple Choice

What is the opposite of squaring a number?

• divide
• multiply 
• fractions
• square root

Multiple Choice

Side a on a right triangle is ALWAYS the longest side.

• true
• false

Multiple Choice

you ADD a² and b² then take the square root to find c on a right triangle.

• true
• false

Multiple Choice

Which set of sides would make a right triangle?

• 4,5,6
• 8,10,12
• 5,12,13
• 5,10,12

Multiple Choice

_{^{Find the missing side}}

• 48
• 108
• 83.6
• 72

Multiple Choice

What is the height of the cone? 

• 14 cm
• 8 cm
• 12 cm
• 13.9 cm

Multiple Choice

_{^{Find the missing side}}

• 9
• 41
• 6.4
• 3

Angle Relationships

• Parallel Lines Cut by a Transversal

• Angle Pairs

• Interior & Exterior Angles of Triangles

Multiple Choice

Solve for x.

• 5
• 12
• -7
• -6

Multiple Choice

Solve for x.

• 6
• 8
• 15
• 13

Multiple Choice

Solve for x.

• -11
• -12
• -6
• 11

Multiple Choice

Find the value of x.

• A
• B
• C
• D

Multiple Choice

What is the measure of angle b?

• 36^o
• 56^o
• 63^o
• 117^o

Multiple Choice

Which of the following angles are remote interior angles to angle d?

• Angle a and Angle b
• Angle b and Angle c
• Angle a and Angle c
• Angle a and Angle b and Angle c

Multiple Choice

The Triangle Sum Theorem states that the sum of all angles in a triangle is ______. 

• 45°
• 90°
• 180°
• 360°

Multiple Choice

Determine the missing angle.

• 47
• 57
• 53
• 133

Multiple Choice

If the  $m\angle7\ =\ 115\degree,$  find the measure of  $\angle2.$  

•  $115\degree$  

•  $65\degree$  

•  $180\degree$  

• Cannot be determined

Multiple Choice

Which of the following is NOT an example of supplementary angles?

•  $\angle7\ and\ \angle8$  

•  $\angle2\ and\ \angle3$  

•  $\angle1\ and\ \angle7$  

•  $\angle6\ and\ \angle4$  

Multiple Choice

Which of the following is an example of corresponding angles?

•  $\angle8\ and\ \angle4$  

•  $\angle5\ and\ \angle7$  

•  $\angle1\ and\ \angle7$  

•  $\angle3\ and\ \angle5$  

Multiple Choice

Which of the following angles would NOT be congruent to the measure of  $\angle7$ ?

•  $\angle2$  

•  $\angle3$  

•  $\angle6$  

•  $\angle8$  

Multiple Choice

Angle 6 and Angle 7 are examples of which type of angle pair?

• Alternate exterior angles

• Alternate interior angles

• Vertical angles

• Corresponding angles

Multiple Choice

Angle 1 and Angle 5 are examples of which type of angle pair?

• Alternate exterior angles

• Alternate interior angles

• Vertical angles

• Corresponding angles

Multiple Choice

Angle 3 and Angle 6 are examples of which type of angle pair?

• Alternate exterior angles

• Alternate interior angles

• Vertical angles

• Corresponding angles

Volume

• Cylinders

• Cones

• Spheres

Multiple Choice

Find the Volume of the Cylinder

• 1178.1 ft³

• 392.7 ft³

• 4712.39 ft³

• 1570.8 ft³

Multiple Choice

Find the Volume of the Cone

• 150.72 cm³
• 75.36 cm³
• 452.16 cm³
• 151 cm³

Multiple Choice

 Find the volume of the Cylinder

• 7230
• 6621
• 1130
• 907

Multiple Choice

The formula for the Volume of ...

• Cylinder
• Cone
• Sphere

Multiple Choice

If a tennis ball has a diameter of 14, What is the volume of the tennis ball? Use 3.14 for pi.

• 345.8
• 523.6
• 1436
• 205.1

Multiple Choice

V = ?

• 14.13 in³
• 56.52 in³
• 169.56 in³

Multiple Choice

What is the volume of a sphere with the radius of 4 inches ? Use 3.14 for pi.

• 561.5 in³
• 267.9 in³
• 201 in³
• 803.8 in³

Multiple Choice

The formula for the Volume of ...

• Spheres
• Cones
• Cylinders