Geometry Sol Review

For what value of x is ΔABC ~ ΔDEF?

• 18
• 21
• 25
• 72

Given statements:
"If a shape is a parallelogram, then opposite angles are congruent."
"A rhombus is a parallelogram."
Which is a logical conclusion from the given statements?

• A rhombus has opposite angles that are congruent
• The opposite sides of a rhombus are congruent
• The diagonals of a rhombus are congruent
• A rhombus is a quadrilateral

Which  Venn (Euler) diagram accurately represents the information in the following statement:
If a triangle is equilateral then it is isosceles.

• A
• B
• C
• D

Which is the converse of the following statement?

• If a/b ≠ c, then a ≠ bc
• If a = bc, then a/b = c
• If a ≠ bc, then a/b ≠ c
• If a/b = c, then a ≠ bc

• A
• B
• C
• D

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

The figure shown segments JN and KM intersecting at point  L.
What value of x proves segments JK || MN?

• 61
• 18.6
• 80
• 25

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

The diagonals of a square measure 14 cm.  What is the length of a side of the square?

• 7√2  cm
• 7√3 cm
• 14√2  cm
• 14√3 cm