GEO Final QUIZ Similarities
The value of the side GH is 
The value of x is 
In the figure above, ΔEGF ~ ΔHGJ. Find the value of x. 
(SHOW WORK ON YOUR PAPER PROVIDED)
In the figure above, ΔABC ~ ΔXYZ. 
Part B. Determine the measure of angle X.
Part C. The scale factor is
Part A. The value of x is 
In the figure below BD // AE
PART B. If BD//AE, justify ∠A ≅ ∠CBD. 
PART A. The measure of side CD is 
If AC = 20, CE = 22, and BA = 8, how long is CD? 
Reflexive property
corressponding angles are congruent
Alternate Interior angles are congruent
Use the Triangle Angle Bisector Theorem to find the value of x. 
The value of x is 
Austin wanted to measure the height of the school building. He placed a mirror on the ground 28 feet from the building, then walked backwards until he was able to see the top of the building in themirror. His eyes were 5.1 feet above the ground and he was 6.8 feet from the mirror. Using similar triangles, find the height of the building to the nearest tenth of a foot. Include the diagram to illustrate the problem above. 
The height of the building is 
STEP 1.  Make a picture and label the given. 

STEP 2. Set up the proportion

STEP 3. Solve for x. 
feet
ROUND YOUR ANSWER TO THE NEAREST HUNDREDTHS ex. 56.37
In the figure above, ΔACF ~ ΔDBE. Find the measure of AB. 
The measure of AB is 
SSS~
SAS ~
Alternate interior angles
AA~
Corresponding angles
Reflexive property
Vertical angles are ≅
Property of proportion
Given
Using the proof to the left, Identify the 4 reasons. (SELECT ALL FOUR)
Find the coordinates of the vertices of each figure after the given 
transformation. 
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A group of engineers are building a bridge across a river and 
they need to determine how far it is to cross the river. 
To accomplish this they will use similar triangles. 
Determine the length across the river. 
The length across the river is 
meters
Two polygons are similar if....
(SELECT TWO THAT APPLY)
corresponding angles are not congruent. 
corresponding sides are parallel
corresponding angles are proportional
corresponding angles are congruent
corresponding sides are proportional
corresponding sides are congruent
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