Geometry Sol Review

An architect used this diagram to design a curved balcony.  She drew a circle with a radius of 40 ft and a central angle of 70° to determine the length of railing needed for the balcony.  Which is closest to the length of railing needed for the curved section of the balcony? 

• 24 ft

• 49 ft

• 251 ft

• 977 ft

• A
• B
• C
• D

Which angle measure is closest to the value of x?

• 43.9⁰

• 44.3⁰

• 45.7⁰

• 46.2⁰

• q -> p
• p ->  q
• ~q -> ~p
• ~p ->  ~q

For what value of x is ΔABC ~ ΔDEF?

• 18

• 21

• 25

• 72

A diagonal walkway cuts through a park bordered by two parallel streets.  The parks department plans to add an additional walkway as indicated by the dashed line segment in the figure.
What is the value of x?

• 42

• 48

• 90

• 138

Four lines and four congruent angles are identified in the diagram.
Which statement must be true?

• Only m  || n

• Only p || q

• p || q and m || n

• No pair of lines is parallel

The coordinate values of the vertices of ΔKLM are integers.
Which set of coordinate pairs could represent the vertices of a triangle congruent to ΔKLM?

• {(0,0), (3,4), (0,5)}

• {(0,0), (-5,0), (0,4)}

• {(-1,1), (-4,5), (-1,5)}

• {(-1,1), (-1,4), (2,1)}

What values for x and y make ΔMNO ≅ ∆PRT?

• x = 11, y = 13.8

• x = 11,  y = 27.6

• x = 15, y = 13.8

• x = 15, y = 27.6

In this figure, parallel lines a and b are intersected by line c.
Which pair of angles is NOT supplementary?

• ∠1 and ∠6

• ∠3 and ∠8

• ∠2 and ∠7

• ∠4 and ∠6