High School Geometry Examples and Practice Questions

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High school geometry

Recent questions in High school geometry

Payton Rasmussen 2022-09-07

What is the distance between (2,-6) and (7,4)?

Vrbljanovwu 2022-09-07

What is the average length of threads criss-crossing a hollow sphere?
Imagine a hollow sphere of radius R that has a large, random (but even) number of holes in it. The surface density of the holes is constant. Threads criss-cross the sphere at random, from one hole to another. What is the average length of these threads?
It is a multiple of R - but which one?

Deanna Gregory 2022-09-07

Distance between (8,2) and (1,-6)?

Gunsaz 2022-09-07

Volume of Solid of Revolution about an equation
I learned about the disk and shell method for finding a volume of a solid of revolution. For my question I don't think I can use either method directly. Here is my question:
Find the volume of the region bounded by $y = x$ and $y = x^{2}$ , but rotated about the equation of $y = x$ .
Here the axis of revolution is not a vertical or horizontal line, but rather the equation $y = x$ . One idea I had was to convert this diagonal line into a horizontal or vertical one, but I can't see to do this. Maybe polar coordinates might be useful, but I'm not sure.

herraviuj 2022-09-06

Distance between (8,6,0) and (0,4,-2)?

dekkyrkex4 2022-09-06

Is it given that two lines are perpendicular if a right angle is shown?
If I have a diagram, like the following:

dripcima24 2022-09-06

Distance between (13,23,-10) and (-3,17,-22)?

Harper George 2022-09-06

I have equation for truncated increasing geometric distribution given as $p r = \frac{(1 - α) α^{C W}}{1 - α^{C W}} . α^{- r}$ with $r = 1, . . . . ., C W$ . $α$ is parameter we can set between 0 and 1.
Here probability of picking $r = 1$ is very low and $r = C W$ is very high. How can i derive an equation from this equation that should give me values generated between $r = 1$ and CW with given distribution.
i should get values like this if $r = 1$ to 10. $C W = 10 10, 10, 9, 9, 6, 1, 6, 10, 10, 3, 4$ (following geometric distribution from equation provided)

samuelaplc 2022-09-06

I'm trying to understand what kind of probability distribution I need to use in order to calculate a very simple example using a deck of cards.
Assume that there is a standard deck of cards (52 cards):
Let X be the number of non-hearts until I get 13 hearts (without replacement). What would be the distribution I need to use?

Riya Andrews 2022-09-06

Give an indirect proof for
$d (x_{n}, y_{n}) \to d (x, y)$

excefebraxp 2022-09-06

How to calculate success probability p
(This can and should be solved without using results about summing geometric series. Use the distribution function F.) Y is a geometric random variable with $P (Y \geq 11) = 0.1$ , determine the following.
a) The value of the Success probability p
b) $P (5 < Y < 15)$

beninar6u 2022-09-05

Given the coordinates of a single point on a circle and a length of an arc $L$ , how do I find the coordinates of another point?

Or, to put in another form: I have the radius $r$ , the length of the arc $L$ and $(x_{1}, y_{1})$ the coordinates. I need to express $(x_{2}, y_{2})$ using only $r, L, x_{1}$ , and $y_{1}$ .

I'm at a dead end on this.

Natalya Mayer 2022-09-05

Equation for simple parametric curve
I want to find the parametric equation for the 5 vertices curve below. It consists of an ellipse with a rotating axes. I get stuck after this:
$x = a \cos (t) \cos (θ) - b \sin (t) \sin (θ)$
$y = a \cos (t) \sin (θ) + b \sin (t) \cos (θ)$ with $θ = f u n c t i o n (t)$ ?

Fortura7i 2022-09-04

The base of a rectangle lies on the x axis while its upper two vertices are on the parabola $y = 10 - x^{2}$ . Suppose the upper right vertex is (x, y). Write the area of the rectangle as a function of x.

Kwenze0l 2022-09-04

Why study quadrilaterals?

Bavikhove8h 2022-09-04

What is the distance between (13,-14,1) and (12,-21,6)?

sailorlyts14eh 2022-09-04

Let $P_{1}$ and $P_{2}$ be two convex quadrilaterals such that $P_{1} \neq P_{2}$ and $A r e a (P_{1}) \geq A r e a (P_{2})$ . Is it true that it is not possible that all sides and diagonals of $P_{1}$ are shorter than the corresponding sides and diagonals of $P_{2}$ ?
Suppose that all four sides and one diagonal of $P_{1}$ are shorter than the corresponding sides and diagonal of $P_{2}$ . Then, as it is explained in the answer to my older question, the two triangles which triangulate $P_{2}$ should be "flatter" (otherwise it's not possible $A r e a (P_{1}) \geq A r e a (P_{2})$ ). From this it should follow that the other diagonal of $P_{1}$ is longer than the corresponding diagonal of $P_{2}$ .
Do you think it's correct? Can you help me formalizing it?

Deacon House 2022-09-04

Choose the letter of the word or phrase that best completes each statement: If $∠ A ≅ ∠ X$ and $\frac{A B}{X Y} = \frac{A C}{X Z}$ , then $△ A B C \sim △ X Y Z$ by the __________. Choose from: a. scale factor, b. AA Similarity Postulate, c. SSS Similarity Theorem, d. SAS Similarity Theorem, e. Symmetric Property of Similarity, f. midsegment, g. dilation, h. enlargement, i. reduction, j. Transitive Property of Similarity

skystasvs 2022-09-04

The sum of the infinite geometric series $(x - 1) + (x - 1)^{2} + (x - 1)^{3} . . . i s . . . 1 / 3$ . Determine the value of x.

Kailey Vargas 2022-09-04

The general term for a geometric sequence is given $b y t_{n} = 0.5 (4)^{n + 1}$ . Determine the first fourterms.

Geometry help for high school students is one of the most popular requests online as Geometry always requires examples to learn. It is one of the reasons why high school geometry examples that have been provided will help you find the answers to the most common questions, be it graphs or the use of algebraic equations. If you require help with high school geometry, compare your instructions with the questions that have been shared below. The same relates to high school geometry test questions that are provided with multiple-option examples. Dealing with analytical geometry problems, always focus on word challenges.

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