Coordinate Geometry
An isosceles triangle's coordinates are (1, 2), (5, 3), (9, 2). Find the exact perimeter
8+2sqrt17
Susie is 5.2 feet tall and her shadow is 6 feet long. She stands next to a tree whose shadow is 8.45 feet long. Find the height of the tree in feet. Round to the nearest 10th place.
7.3
In triangle EFG, F is the right angle. cosE is equal to which other trig ratio?
sinG
A square with 18 inch sides are inscribed in a circle. Find the area of the circle. Round to the 10th place.
508.9
An equilateral triangle is rotated about its center. What three rotations would map the triangle onto itself?
120, 240, 360
Find the midpoint if the endpoints of a segment are (10,3), (-8, 15)
(1,9)
Triangle ABC (C right) has legs 1.5 and 2. It's similar to triangle PQR. PQ = 50. Find the area of PQR (units squared)
600
Find the area of the triangle, to the nearest foot.
76
A circle is at (x-4)2+(y+2)2=9 is dilated by a factor of 8. What is the difference between the two radii?
61
M is the midpoint of JL. What shortcut proves triangle JMK congruent to triangle LMK?
SAS
For Parallelogram ABCD, A(7,4), B(8,1), C(2,-1). Is this parallelogram a rectangle?
Yes - consecutive sides are perpendicular (opposite reciprocal slopes)
Hailey is building a model of the school. Her scale is 0.35 inches for every 2 feet. She is creating the main door of the school, which is 8.4 feet tall. In inches, how tall should her model door be? Round to the 100th place.
1.47
Solve for x. Round to the 10th place.
33.6
Solve for the measure of x
84
The diameter of a sphere is 16 cm. Its mass is 400 g. Find its density. Round to the 100th place.
0.19
Find the equation of the line perpendicular to 2y=20+6/5 x through the point (9,10)
y=-5/3x + 25
Circle A's circumference is 10pi. It's scaled by a factor of 4. What is the exact area of the circle now?
400pi
Find the area of the triangle. Round to the nearest whole number.
102
The radius of a circle is 10.4 cm and an arc's measure is 70 degrees. Find that arc length. Round to the 100th place, in cm.
12.71
Find the difference between the volumes of the cylinders. Round to the nearest whole number.
0
On segment DE, F partitions the segment into a 1:2 ratio. D(-15,-12) and E(9, 27). Find the coordinates of F.
(-7,-1)
B(8,0) but is scaled so that B'(1.6,0). The origin is center of dilation. Find the scale factor.
0.2 or 1/5
Solve for x. Round to the nearest whole number.
45
A slice of pie was taken from a circle. The angle of the pie was 0.95 radians. The radius of the pie was 7.8 inches. Find the area of the slice of pie to the nearest square inch.
29
A rectangle with sides lengths of 10 and 24 is inscribed in a circle. Find the exact circumference of the circle.
26pi