Congruence
If two triangles have all three corresponding sides equal, what congruence theorem proves they are congruent?
Answer: SSS
If two figures have the same shape but different sizes, they are called what?
Answer: Similar
In a right triangle, what does SOH stand for?
Answer: Sine = Opposite/Hypotenuse
What is the distance across a circle through the center called?
Answer: Diameter
Find the volume of a cube with side length 3.
Answer: 27 cubic units
Two triangles have:
Answer: ASA
Triangles have angle measures:
Are they similar?
Answer: Yes, by AA Similarity
Find:
\sin(30^\circ)
Answer: 1/2
Find the circumference of a circle with radius 5.
Answer: 10\pi
Find the surface area of a cube with side length 4.
Answer: 96 square units
Triangle ABC has sides 5, 12, and 13.
Triangle DEF has sides 5, 12, and 13.
Are the triangles congruent? Explain.
Yes, by SSS Congruence
A triangle has sides:
3, 6, 9
Another triangle has sides:
5, 10, 15
Are they similar?
Answer: Yes, because the side ratios are proportional
A right triangle has:
Find \sin(\theta)
Answer: 3/5
Find the area of a circle with radius 4.
Answer: 16\pi
Find the volume of a cylinder:
Answer: 45\pi
Given:
What theorem proves the triangles congruent?
Answer: AAS
The scale factor from Triangle A to Triangle B is 4.
If a side in Triangle A is 7, what is the corresponding side in Triangle B?
Answer: 28
A ladder leans against a wall:
Find the height.
Answer: 8 ft
A circle has diameter 18.
Find the radius.
Answer: 9
Find the volume of a sphere with radius 6.
Answer: 288\pi
Right triangles have:
What theorem proves the triangles congruent?
Answer: HL (Hypotenuse-Leg)
A shadow of a tree is 12 ft long.
A 6-ft person casts a 4-ft shadow.
How tall is the tree?
Answer: 18 ft
Find the angle:
\tan(\theta)=\frac{4}{7}
Round to nearest degree.
Answer: 30^\circ
Find the arc length of a 90° sector in a circle with radius 8.
Answer: 4\pi
A rectangular prism has:
Find the surface area.
Answer: 158 square units