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Refresher #13

Total questions: 10

Worksheet time: 15mins

Name
Class
Date
1.

45\sqrt{45}  =


2.

Match the following

a)

two triangles are considered similar if at least two corresponding angles are congruent

1.

AA Similarity Postulate

b)

two triangles are similar if all their corresponding angles are congruent and their corresponding sides are proportional

2.

SSS Similarity Theorem

c)

If the two sides of a triangle are in the same proportion of the two sides of another triangle, and the angle inscribed by the two sides in both the triangle are equal, then two triangles are said to be similar.

3.

SAS Similarity Theorem

d)

in any triangle, if a line intersects two sides of the triangle and is parallel to the third, then the intersecting line divides the sides proportionally

4.

Triangle Proportionality Theorem

e)

an angle bisector of an angle of a triangle divides the opposite side into two parts that are proportional to the other two sides of the triangle

5.

Angle Bisector Theorem

3.

State if the pair triangles are similar. If they are similar, state how you know the triangles are similar.

a)

Similar by SSS and SAS

b)

Not Similar

c)

Similar SAS

d)

Similar by AA

e)

Similar by SSS

4.

The triangles are similar, solve for the question mark.

(a)  

5.

Use the information in the diagram to determine the height of the tree. Remember: lines with the same marks are congruent to each other.

(a)  

6.

Solve for x.

(a)  

7.

Find the missing length.

(a)  

8.

Solve the equation for x:

9.

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

10.

Graph the equation of a line PERPENDICULAR to the line y = 3x + 2 that passes through the point (9, -2)