Similarity Test Review

Similarity Test Review

Similarity Boot Camp

Finding Missing Sides of Similar Polygons.

• Find Corresponding Sides.

• Set up the proportion with the ratio of the corresponding sides.

• Solve for x.

Multiple Choice

Solve for x.

• 100
• 1
• 0.1
• 10

Multiple Choice

The pair of figures is similar. Find the missing side.

• x = 12
• x = 3
• x = 40
• x = 4

Similarity Theorems for Triangles.

• SSS: Find the ratios of ALL the sides!

• SAS: Order matters. 1 Congruent angle sandwiched by 2 proportionate sides.

• AA: 2 angles that are congruent. MAKE SURE YOU DOUBLE CHECK!

Multiple Choice

How do these triangles appear to be similar?
(Hint: Look for non-labeled parts!)

• AA
• SAS
• SSS
• Not Similar

Multiple Choice

If the triangles are similar, state how.

• SSS
• SAS
• AA
• Not similar.

Dilations

• Find the scale factor!

• Which one is the image, which is the pre-image.

Multiple Choice

State the coordinate of the image of the given point B (-10,-6) under a dilation with center at the origin with the given scale factor k = 1/2.

• (5,3)
• (20,12)
• (-20,-12)
• (-5,-3)

Multiple Choice

How do you write the algebraic notation when the scale factor is 3?

• (x, y) goes to (1/3x, 1/3y)
• (x, y) goes to (-3x, -3y)
• (x, y) goes to (x + 3, y + 3)
• (x, y) goes to (3x, 3y)

Slope

• Rise over Run!

•  $\frac{y2-y1}{x2-x1}$  

• Find and list your x/y coordinates, plug them into your slope formula.

Multiple Choice

Find the slope given the points (2, −7) and (−1, 6). 

• -13/3
• 13/3
• 0
• 2/3

Parallel and Perpendicular lines

• Parallel lines: The same exact slope. (the same m)-- y=2x+5 and y=2x+3

• Perpendicular lines: y=1/2x+4 and y=-2/1+3

Multiple Choice

Write the equation of the line PARALLEL to the line y = 4x - 9 that passes through the point (-2, 4)

• y = 4x + 12

• y = -4x -4

• y = -1/4x + 5/2

Multiple Choice

y = -2/3x + 2

y = 3/2x + 9

These lines are...

• Parallel

• Perpendicular

• Neither