Geometry Concepts Quiz

In trapezoid ABCD, if AE = 5.2, AC = 11.7, and CD = 10.5, what is the length of AB?

• 12.3

• 10.5

• 8.4

• 6.5

Which property of trapezoids allows us to use similar triangles to find unknown side lengths?

• Parallel sides

• Equal angles

• Congruent bases

• Diagonals bisect each other

If triangle ABC is similar to triangle DEF, and BC = 15, AC = 17, what is the measure of angle F?

• 28 degrees

• 30 degrees

• 45 degrees

• 60 degrees

What trigonometric ratio is used to find an angle when given the adjacent side and hypotenuse?

• Sine

• Cosine

• Tangent

• Cosecant

What is the scale factor when the line 2y = x + 8 is dilated to y - 1/2x = 2?

• 1/2

• 2

• 1

• 3/2

How does the y-intercept change after a dilation centered at the origin?

• It remains the same

• It halves

• It triples

• It doubles

In quadrilateral ABCD, if AB = 24, CD = 18, and AH = 10, what is FH?

• 16

• 14

• 12

• 10

What theorem is used to determine the length of a mid-segment in a triangle?

• Pythagorean Theorem

• Triangle Mid-Segment Theorem

• Angle Bisector Theorem

• Sine Rule

If a segment is a mid-segment in a triangle, how does its length compare to the base?

• Equal to the base

• Half the base

• Twice the base

• Three times the base

What is the relationship between midpoints in a quadrilateral with parallel sides?

• They form a parallelogram

• They form a square

• They form a triangle

• They form a rectangle