Congruence
ABC = DEF
<A = <D
AC=DE
AB=DF
Which theorem proves the congruence
SAS
A triangle has these measurements 3,6,9. A second triangle has these measurements 1,2,3. How are these triangles similar?
Scale factor of 3
Find the sin of 32 when the opposite side is 8 and the hypotenuse is 11.
8/11 or 0.727
Find the Area of a circle with a radius of 4
50.27
A cone has a radius of 3 and a height of 5. What is the volume of a cone? round to the hundreths
47.12 units cubed
Triangle STU is congruent to triangle PMO. If ST is 12, TU is 5, and SU IS 7, what is P+M+O?
24
A rectangle has a length of 10cm and a width of 6cm. If a similar triangle has a length of 25cm what is the width
15cm
A right angle has a hypotenuse of 13 and a vertical leg of 5. The angle is between the hypotenuse and the missing side. Use the Pythagorean theorem and find sin.
Missing side= 12
Sin is 5/13
Find the circumference of a circle with a diameter of 14
43.98
A sphere has a radius of 6. Find the volume of the sphere
904.32 units cubed
Two triangles share the same side. The two triangles have the same angles with 90,45,45. Can the angle be proved with ASA.
Yes it can. The angles are similar and they share a side
If a 12ft tree casts a 8ft shadow, and a pole casts a 24ft shadow how tall is the pole?
36
A 15ft ladder leans against a wall making a 60 degree angle with the ground. How high does the ladder reach on the wall. Round of to the nearest whole number
13
The circle has a 12 radius and the sector angle is 60. What is the arc length of a sector?
12.56
A cylinder has a radius of 5 and a height of 10. Find the toatal surface area.
471.15