A line that cuts through 2 parallel lines.
What is a transversal?
State if these triangles are congruent and if yes, why.
Yes, by SAS because line AB is common.
Give the most precise name of the shape.
What is a rhombus?
Which numbers would be multiplied to find the area of the parallelogram below? |
The formula for the area of a parallelogram is base × height. The base, or bottom of the parallelogram, is 12 inches.
If you can only draw three lines, how can you slice a pie into 7 pieces?
True or false: A plane contains an infinite number of lines.
What is true?
Write an inequality for x.
2<x<18
The measure of each angle in a regular hexagon.
What is 120 degrees?
What is the area of the shape below? Each of the measures is in inches.
The top and bottom rectangles have an area of 7 in × 2 in = 14 in2. The center rectangle has an area of 11 in × 6 in = 66 in2.
Adding the area of each of these rectangles up, we get a total area of: 14 + 66 + 14 = 94 in2.
The police rounded up Jim, Bud and Sam yesterday, because one of them was suspected of having robbed the local bank. The three suspects made the following statements under intensive questioning.
If only one of these statements turns out to be true, who robbed the bank?
Bud is the only one telling the truth, so Jim is lying and he robbed the bank.
What is line a and line b?
The measure of x.
What is 4?
Reflect this across the y axis.
What is the area of the shaded donut below?
π (16)2 – π (4)2 =
803.84 – 50.24 =
753.6 ft2.
What is the smallest three digit palindrome divisible by 18?
252
What is the measure of angle AJH? Explain why.
What is 117 because it is the sum of opposite interior angles.
Write an equation that would solve for h.
h = 100 * tan(18)
A circular trampoline has a net surrounding it that is 25.12 ft long.
What is the diameter of the trampoline?
8 feet
. Find the area of this section of a circle to the nearest tenth.
15.2 cm 2
Can you draw this shape without your pen leaving the paper and without retracing or crossing another line?
If line a and line b are parallel, describe the relationship between angle 3 and angle 6 .
You cannot determine their relationship.
Please write a similarity statement for all similar triangles.
ABC ~ MBA ~ MAC
Find the value of x in the following figure:
From inscribed angle theorem,
∠AOB = 2∠ACB
50° = 2 * ∠ACB
∠ACB = 25°
In ΔAOC:
OA = OC (radii)
Since, Angles opposite to equal sides are equal.
∴ ∠OAC = ∠OCA
∠x = 25° (as ∠OCA = ∠ACB)
A circle of radius is inscribed in a semicircle, as shown. The area inside the semicircle but outside the circle is shaded. What fraction of the semicircle's area is shaded? (Hint: the radius of semicircle is 4.)
Area of the circle inscribed inside the semicircle Area of the larger circle (semicircle's area x 2) (4, or the diameter of the inscribed circle is the same thing as the radius of the semicircle). Thus, the area of the semicircle is Part of the semicircle that is unshaded is Therefore, the shaded part is
Thus the answer is
I need to enter a castle that is surrounded by a five meter wide rectangular moat filled with water. I have an aversion for getting wet and only have two 4.8 meter long planks with no rope, nails, etc. How do I get across?