High School Geometry Examples and Practice Questions

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High school geometry

Recent questions in High school geometry

Which is an example of a defined term

f(x) = (x + 4)(2x + 1)

Jiovanny drinks an energy drink that has 110 mg of caffeine and the amount of caffeine decreases by 17% each hour. Write an exponential function and use it to estimate the caffeine, in mg, in his system after 5 hours.

The equation of a sphere centered at the point (3,5,3) and tangent to the plane z=0 isx2+px+y2+qy+z2+rz=sx2+px+y2+qy+z2+rz= SS = ?

Ausanioyck 2022-03-03

Find all the intersection points of the following two circles:
- The center circle (0,0) And its radius $\sqrt{13} $
- The center circle (1, -1) And its radius $\sqrt{17}$
(Note: Write the answer as follows $(x_{1}, y_{1}) (x_{2} , y_{2} ))$

Kelsea Ferry 2022-03-03

Three circles with centers A, B and C have respective radii 40, 30 and 20 in. and are tangent to each other externally. Find the perimeter of the curvilinear triangle formed by the three circles.
Select one:
a) 94 in
b) 88 in
c) 127 in
d) 134 in

Abiha Bellamy 2022-03-03

Circles H and I have the same radius. JK, a perpendicular bisector to HI, goes through L and is twice the length of HI. If HI acts as a bisector to JK, what type of triangle would HKI be?
a) right triangle
b) special right triangle
c) equilateral triangle
d) isosceles triangle

Alexandria Dodd 2022-03-03

Find the similarity ratio of two circles with areas $75 π c m^{2} and 27 π c m^{2}$ .

Potherat8mi 2022-03-03

Two circles are concentric. Two arcs are formed by the same central angle, with arc lengths of 54 and 81 respectively. Which of the following are possible radii for the circles? so there are two possible answers.
- 14 and 41
- 23 and 32
- 32 and 64
- 40 and 60
- 12 and 18
I believe 12 and 18 are one.

Sarah-Louise Prince 2022-03-03

Find the equation of a circle whose center is at (4, 1) and tangent to the circle $x^{2} + y^{2} - 8 x - 6 y + 9 = 0$ . Draw the circles.

cindakayumn 2022-03-03

Select from the following two-variable quadratic equations those which are equations of circles. Determine the center and the radius of the circles.
a. $x^{2} + y^{2} + 6 x - 4 y + 4 = 0$
b. $x^{2} + y^{2} + 2 x y + 5 x - 3 y - 5 = 0$
c. $x^{2} + y^{2} - 10 x + 6 y + 35 = 0$
d. $- 2 x^{2} - 2 y^{2} + 4 x + 8 y + 22 = 0$

Gary Johnson 2022-03-03

Find the area for the following circles. Leave your answers in terms of $π$ .

Emmanuella Browne 2022-03-03

Two circles have a scale factor of $3 : 2$ . What is the ratio of the areas of these circles?
a) $3 : 2$
b) $9 : 4$
c) $12 : 26$
d) $13 : 12$

Rupert Albert 2022-03-03

Circles A. B, and C cach have raditus 1. Circles A and B share one point of tangency. Circle C has a point of tangency with the midpoint of $\overset{―}{A B}$ . What is the area inside circle C but outside circle A and circle B?

a) $3 - \frac{π}{2}$
b) $\frac{π}{2}$
c) 2
d) $\frac{3 π}{4}$
e) $1 + \frac{π}{2}$

Mark Johns 2022-03-03

Round answers to the nearest 2 decimal places.
Find the total circumference of the circles.

enfocarteu7z 2022-03-03

Tell whether the red arcs are congruent. Explain why or why not.

a) The arcs are not congruent because the arcs are not adjacent.
b) The arcs are not congruent because they are in two different circles.
c) The arcs are congruent because arcs with the same measure are congruent
d) The arcs are congruent because they have the same measure and are in congruent circles.

tumahimikgjr 2022-03-03

The circumference of two circles are $12 π$ and $36 π$ . Find the ratio of the areas of the circles.
a) $1 : 3$
b) $1 : 9$
c) $3 : 4$
d) $2 : 5$

Potherat8mi 2022-03-03

For the three concentric circles shown below, the length of the radius of circle B is twice the length of the radius of circle A. The length of the radius of circle C is three times the length of the radius of circle A. Which of the concentric circles is a locus of points equidistant from the other two circles?
a) Circle A
b) Circle B
d) Circle C

Phoebe Xiong 2022-03-03

Take a sphere and draw on it a great circle (a great circle is a circle whose centre is the centre of the sphere). There are two regions created. Here, I am referring to regions on the surface of the sphere. Now draw another great circle: there are four regions. Now draw a third, not passing through the points of intersection of the first two. How many regions?
Here's the general question: How many regions are created by n great circles, no three concurrent, drawn on the surface of the sphere?

Kris Patton 2022-03-03

The radii of two circle are 19 cm amd 9 cm respectively. Find the radius of the circle which has circumference equal to the sum of the circumference of the two circles.

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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