Trigonometry
Circles
Triangles
Quads
Mystery
Why Not?
100
What is the area of the triangle?
A=191.8 squared meters
100
Find the length of EB
91.5m
100
In △RST, QP is a midsegment of the triangle and QP ∥ RT. If RT = 12x − 5 cm and
QP = 3x − 1 cm, what is the length of QP
to the nearest tenth of a centimeter?
0.5 cm
100
In quadrilateral TUVW, TU || WV ,
m∠T = (5y − 30)° and m∠V = (2y + 15)°.
For which value of y is TUVW a parallelogram?
15
100
The equation of a circle is
x2 + 8x + y2 − 26y + 25 = 0. What is the exact length of the radius of the circle in units and what is the center of the circle?
center (-4,13)
radius 4square root 10
100
What is the surface area and volume of the cylinder?
SA= 1143.5
V= 2924.8
200
A ladder leans against a wall so the top of the ladder is 3.6 meters above the ground. If the angle between the ladder and the wall is 23°, how far is the base of the ladder from the wall to the nearest tenth of a meter?
1.5m
200
What's the measure of arc BD?
145 degrees
200
The centroid of △ABC is point P. Point M is the midpoint of BC and MP = 252 cm. What is the length of AP
504
200
The diagonals of quadrilateral QRST bisect each other. Which type of quadrilateral could QRST be?
rectangle, square, rhombus, parallelogram
200
A triangle has vertices with the coordinates (2, 5), (5, −2), and (−3, −4) as shown in the graph.
The triangle is translated 4 units to the right and rotated 180° about the origin. Give the coordinates of the triangles after the transformations.
(-1,4)
200
What is the surface area and volume of the prism?
SA= 7560 in2
V= 29,646 in3
300
What is the cos of D?
9 square root of 106 divided by 106
300
WHat is the length of OG?
What is the measure of angle GOH?
OG = 16.5cm
angle GOH= 102.5
300
In △ABC and △DEF, AB = DE, BC = EF, and m∠A = m∠D. Can the triangles be proven to be congruent? If so by what theorem?
no
300
A diagonal of a rhombus lies on the line
y = −
1/3
x − 5. What is an equation of the line
for the second diagonal of the rhombus that passes through the vertex (−2, −8)?
y=3x-2
300
The vertices of △WXY are located at W(−14, 20),
X(10, 4), and Y(−2, −4). What is the approximate length of the midsegment parallel to XY?
7.2
300
What is the surface area and volume of a baseball with a circumference of 9 inches?
SA=25.7 in2
V= 12.3 in3
400
What is the measure of angle G?
50.1 degrees
400
A sector of a circle with radius 9 ft has a central angle that measures
(5Pi)/3
radians. What is the area of the sector?
212.1
400
A triangle has sides measuring 14 ft, 26 ft, and
x ft. What are the restrictions on the value of x that would create a possible triangle?
12<x<40
400
In parallelogram ABCD, diagonal AC
and diagonal BD intersect at point F. If
BF = 11x − 9.3 units and FD = 8x + 27.6 units, what is the value of x?
x = ___________
12.3
400
Can 9m, 14m and 15m be the sides lengths of a triangle?
yes, 9+14 is greater than 15
400
What is the surface area and volume of the cone?
SA = 268.6
V= 287.98
500
What is the length of the longest side of the triangle?
29.0 ft
500
Quadrilateral JKLM is inscribed in circle S.
The measure of ∠L in the quadrilateral is 63°. What is m∠J?
117
500
Prove that the triangles are congruent
ASA
EF is parallel to DC (given)
angle A = angle C (alternate interior angles)
ES= CS (given congruent side)
vertical angles
500
A straight line is etched in trapezoid from the midpoint of EH to the midpoint of FG. What is the length in meters of the etched line?
60m
500
Find the length of XY, WZ, and XW
WZ =5
XW= 3square root 5
XY = 30 square root 2
500
What is the surface area of the pyramid?
SA= 157.5