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​GEometry  State Test Practice

Cross section of a cylinder

11/2/2019

 
A cylinder is sliced vertically along a dotted line, as shown:
Picture
What two-dimensional shape is created from this cross section?
Picture

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Find the perimeter of the triangular sandbox

11/2/2019

 
A park has a triangular sandbox. Todd wants to create a smaller sandbox at his backyard having the same angles as the park sandbox.
Drawings of both sandboxes are shown.
Picture
What is the perimeter, in feet (ft), of Todd’s sandbox?

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Prove the triangles are congruent

10/18/2019

 
Triangle MNO is shown.
Picture
Which triangle can be shown to be congruent to ∆MNO with only the given information?
Picture

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Sequence of Translations

10/16/2019

 
A sequence of translations maps ∆ GHI to ∆ G’H’I’.
• ∆ GHI has vertices at G (-8,2), H (13,2), and I (-2,10)
• The coordinates of G’ are (-1,-3)

What are the coordinates of H’ and I’ ?

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Find the radius of the circle

10/14/2019

 
In the figure shown, L is the center of the circle, and PQ is a chord of the circle measuring 30 centimeters. (cm)
Picture
What is the length, in centimeters, of PL ?

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Find the change in height of the leaning tower

5/1/2019

 
The Leaning Tower of Pisa is 56.84 meters long. In the 1990’s, engineers restored the building so that angle y changed from 5.5° to 3.99°.  To the nearest hundredth of a meter, how much did the restoration change the height of the Leaning Tower of Pisa?
Picture

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Identify the type of triangle

3/20/2019

 
What type of triangle is shown below?
Picture




​A.)  Equiangular
B.)  Right Isosceles
C.)  Acute Scalene
D.)  Obtuse Scalene


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Find the missing side of the triangle

2/25/2019

 
Triangle MNO and triangle PQR are similar.
Picture
What is the length in units of segment NO?
A.)  14
B.)  19
C.)  22
D,)  26

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What is the ratio of the two line segments ?

2/4/2019

 
Line segment AB has endpoints A(-1.5 , 0) and B(4.5 , 8).  Point C is on line segment AB and is located at (0,2).
What is the ratio of AC/CB ?

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What figure results from rotating the triangle 360°?

1/29/2019

 
Triangle ABC is shown.
Picture
What three-dimensional figure results from rotating the triangle 360° about segment AC ?
A.)  cone
B.)  cylinder
C.)  pyramid
​D.)  sphere

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