Scale Factor and Coordinate Plane

Similar Triangles and Graphing on the Coordinate Plane

Multiple Choice

Solve for g in the proportion

$$\frac{10}{h}=\frac{2}{10}$$  

• h=10

• h=2

• h=50

• h=100

Scale Factor

• A scale factor is the factor by which all the components of an object are multiplied in order to create a proportional enlargement or reduction.

Multiple Choice

Find the scale factor going from the small triangle to the larger triangle

• 3

• 1/3

• 2

• 5

Similar Triangles -- same shape, different size

• Angles Must Be Congruent (the same size)

• Sides Must Be Proportion (the ratios of corresponding sides will be equivalent fractions

Multiple Choice

Are the triangles similar?

• yes

• no

Multiple Choice

Are the triangles similar?

• yes

• no

Multiple Choice

Find the missing side

• 24

• 36

• 12

• 15

Similar Polygons

• Similar Polygons have proportional sides

• The scale factor can be found be finding the ratio of a pair of corresponding sides.

• Here, the scale factor is 1/10 because quad ABCD is 1/10 of quad WXYZ.

Multiple Choice

If two figures are similar, the corresponding sides are ______________.

• equal

• congruent

• proportional

• none of these

Multiple Choice

If two figures are similar their angles are______.

• proportional

• congruent

• supplementary

• complementary

The Coordinate Plane

Graphing, Reflecting, and Distance

Multiple Choice

Point E is located at the

• y-axis

• x-axis

• origin

Multiple Choice

What is the location of Point B?

• (-3,2)

• (2,-3)

Multiple Choice

Which axis is vertical? (up and down?)

• x

• y

Multiple Choice

The coordinates for the origin in the coordinate plane are________?

• (1,1)
• (0,0)
• (0,1)
• (1,0)

​​When we graph points We graph the x first the y second. (x.y)

(-4, 3)​

Multiple Choice

Give the coordinates for POINT H.

• (-1, 2)
• (1, -2)
• (-1, -2)
• (1 , 2)

Multiple Choice

Give the coordinates for POINT I.

• (-2, 5)
• (-2, -5)
• (2, 5)
• (2, -5)

Multiple Choice

Where is point E located?

• ( 2, 0 )
• ( 2 , 2 )
• ( 0 , 2 )
• ( 0 , 0 )

The 4 Quadrants

Multiple Choice

Name the quadrant where POINT C is located. 

• Quadrant I
• Quadrant II
• Quadrant III
• No Quadrant

Multiple Choice

• A

• B

• C

• D

Multiple Choice

What do you use to solve for slope triangles?

• $$\frac{run\ }{rise}$$  

• $$\frac{rise}{run}$$  

Multiple Choice

Identify the slope (AC) of triangle ABC.

• 2

• 1/2

• -2

• -1/2

Multiple Choice

The slope of line AC is equal to $$\frac{AB}{BC}$$  . What is the measure of the slope?

• 2/3

• 3/4

• 3/2

• 1/3

Multiple Choice

Identify the slope (CA) of triangle ABC.

• 1/3

• 3

• -3

• -1/3

Multiple Choice

What type of slope?

• negative

• positive

• zero

• undefined

Multiple Choice

Are the triangles drawn along the line similar? Remember: Similar: same shape, different size.

• yes

• no

Multiple Choice

What is the slope in the picture?

• Positive
• Negative
• Zero
• Undefined