Rhombi
How many congruent sides does a rhombus have?
4 congruent sides
TRUE OR FALSE: The diagonals of a kite are perpendicular.
True
What are the two terms we use to describe the sides of a trapezoid?
Base and legs
TRUE OR FALSE: A rectangle is always a square.
False. A rectangle doesn't have all sides congruent to one another.
What is the sum of a dodecagon?
1800 degrees
In a rhombus, the diagonals intersect at right angles. If one angle formed is 90 degrees, what is the measure of the other three angles at the intersection?
90 degrees
TRUE OR FALSE: Consecutive angles of a kite are congruent to each other.
False. One pair of opposite angles are congruent.
In an isosceles trapezoid, what can you say about the base angles?
They are congruent
What can you say about the diagonals of a rectangle?
They are congruent
74
In rhombus ABCD, diagonal AC = 24. What is the length of AE if E is the intersection of the diagonals?
12
In kite ABCD, AB = AD and BC = CD. If AB = 7x - 2 and AD = 5x + 6, what is the value of 'x'?
4
The bases of a trapezoid measure 12 and 20. Find the length of the midsegment.
16
In rectangle ABCD, diagonal AC = 26. What is the length of diagonal AD?
26
The measure of an interior angle of a regular polygon is 108 degrees. Find the number of sides in the polygon.
5 sides
In rhombus ABCD, E is the intersection of the diagonals.
If AE = 5 and BE = 12, what is the length of AB?
13
In a kite, one diagonal measures 18 and is bisected by the other. What is the length of each half?
9
In trapezoid ABCD, the midsegment MN = 25 and one base is 18. Find the other base.
32
Rectangle ABCD has side lengths 10 and 24. What is the length of the diagonal?
26
The measure of an interior angle of a regular polygon is 120 degrees. Find the number of sides in the polygon.
In rhombus PQRS, angle P = 4x - 10 and angle Q = 2x + 20. What is the value of 'x'? (Hint: supplementary angles).
15
In kite WXYZ, angle X and angle Z are opposite angles. If angle W = 120 degrees and angle Y = 30 degrees, what is the measure of angle X?
105 degrees
Trapezoid PQRS has the following coordinates: P(0,3), Q(3,1), R(4,-3), and S(-2,1). What is the length of the midsegment? (Hint: Use midpoint and distance).
5.4
In rectangle PQRS, angle P = 3x + 15. What is the value of 'x'?
25
The exterior angles on a hexagon are x, 2x, x+10, x+18, 3x, and x-1. Find the value of 'x'.
37