Download Test - FloridaMAO

Vero Beach Geometry Team Test
1) A. Let A equal the sum of the measure of the exterior angles, one at each vertex, of a decagon.
B. Let B equal the number of sides of a regular polygon that has interior angle measures of 135
degrees.
C. Let C equal the number of sides of a regular polygon that has exterior angle measures of 30
degrees.
D. Let D equal the number of sides of a hexagon plus the number of sides of a heptagon.
Vero Beach Geometry Team Test
2) A. Let A equal the measure of the acute angle formed by the hands of a clock when the clock shows
that the time is 12:15
B. Let B equal the degree measure of an interior angle in a regular dodecagon.
C. Let C equal number of regions into which a plane is divided when 5 parallel lines are drawn in the
plane
D. Let D equal the supplement of the angle found in A.
Vero Beach Geometry Team Test
3) A. Let A equal the distance between two points (0,2) and (3,6).
B. Let B equal the length of the hypotenuse in a right triangle with leg measures of 4 and 5.
C. Let C equal the largest possible integer length of the third side of a triangle with the other two side
lengths measuring 12 and 5.
D. Let D equal the smallest possible integer length of the third side of a triangle with the other two
side lengths measuring 10.
Vero Beach Geometry Team Test
4) Refer to the figure below. Angles ABC, ACD, ADE, AEF, and AFG are all right.
E
√23
F
5
G
√21
D
6
C
4
B
A.
B.
C.
D.
√48
A
̅̅̅̅ ?
What is the length of 𝐴𝐺
What is the perimeter of ⊿DEA?
What is the perimeter of ⊿DCA?
What is the sum of the hypotenuses of all the right triangles?
Vero Beach Geometry Team Test
B°
120°
(A-20)°
(C+60)°
5) Using the figure with measurements as given:
A. Find the value of A.
B. Find the value of B.
C. Find the value of C.
D. A+(B/C)
Vero Beach Geometry Team Test
A.
B.
C.
D.
6) Choose the most specific name for each figure described below. S is square, R is rhombus, T is
triangle, K is Kite, C is circle, P is parallelogram, and Q is quadrilateral.
The sum of the angles must be 180°.
All angles must be 90° and the side lengths all are equal.
The boundary consists of points equidistant from a fixed center.
A parallelogram with opposite equal acute and obtuse angles and four equal sides.
Vero Beach Geometry Team Test
7) Find the value of x for the following.
A.
B.
117°
x°
50
14
x
C.
D.
x°
x
10
Vero Beach Geometry Team Test
8) A. Let A equal the measure of the smaller angle of a pair of two supplementary angles given that one
is 4 degrees larger than the other.
B. Let B equal half the number of sides in a decagon.
C. Let C equal the measure of the larger angle of a pair of two complementary angles that have
measures (2x + 21)° and (3x – 26)°.
D. Let D equal the measure of the 4th angle in a quadrilateral when the average of the other three
angles is 84.
Vero Beach Geometry Team Test
9)
A.
B.
C.
D.
Find the sum of the exterior angles, one at each vertex, of an octagon.
Find the sum of the interior angles of a five-pointed star. (using points of star only)
Find the sum of the interior angles of an undecagon.
Find the sum of two consecutive interior angles of a parallelogram.
Vero Beach Geometry Team Test
10) Determine whether each statement is always, sometimes, or never true.
A.
B.
C.
D.
Supplements of complementary angles are congruent.
A segment bisector splits a segment into two equal lengths.
A square is a parallelogram.
Skew lines are parallel.
Vero Beach Geometry Team Test
11) The coordinates of points X and Y are (-10, -10) and (4,8), respectively.
A.
B.
C.
D.
Find the x-coordinate of the midpoint of ̅̅̅̅
𝑋𝑌.
Find the y-coordinate of the midpoint of ̅̅̅̅
𝑋𝑌.
̅̅̅̅.
Find the length of 𝑋𝑌
Find the diameter of a circle with ̅̅̅̅
𝑋𝑌 as its radius.
Vero Beach Geometry Team Test
12)
A.
B.
C.
D.
Let A equal the slope of the line 2x+y=5
Let B equal the slope of the line y=-2x+4
Let C equal the y-intercept of the line in part B.
Let D equal the x-intercept of the line in part A.
Vero Beach Geometry Team Test
Y
13)
25
5
7
Z
24
X
A. sin(X) + cos(Y)
B. tan(X) + cot(X)
C. sec(X) + cot(Y)
D. sin(Z) + cos(Z)
Vero Beach Geometry Team Test
14) Where do the following concurrence points lie with regards to the triangle (inside, outside, or on the
triangle)?
A.
B.
C.
D.
Incenter of an acute triangle.
Centroid of an equilateral triangle.
Orthocenter of a right triangle.
Orthocenter of an obtuse triangle.
Vero Beach Geometry Team Test
15) Consider a circle of radius 16 units.
A. Let A equal the diameter of the circle.
B. Let B equal the length of a chord 6 units away from the center of the circle.
C. Let C equal the circumference of the circle.
D. Let D equal A*B/C.