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SECONDARY
GEOMETRY
HIGH SCHOOL GEOMETRY
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High school geometry questions and answers
Recent questions in High school geometry
balff1t
2021-11-14
Answered
Find the equation of the ellipse
\(\displaystyle{x}^{{{2}}}+{9}{y}^{{{2}}}-{4}{x}-{72}{y}+{139}={0}\)
and locate the coordinates of the foci.
siroticuvj
2021-11-14
Answered
Find the equation of the straight lines that pass through the following sets of points:
a)
\(\displaystyle{\left({2};\ {4}\right)};\ {\left({4};\ {7}\right)}\)
b)
\(\displaystyle{\left({3};\ -{5}\right)};\ {\left(-{2};\ {2}\right)}\)
c)
\(\displaystyle{\left({1};\ {3}\right)};\ {\left(-{3};\ {1}\right)}\)
Alyce Wilkinson
2021-11-05
Answered
Show that if A and B are similar, then det A=det B.
Nann
2021-11-03
Answered
Given:
\(\displaystyle\triangle{M}{\ln},\overline{{{M}{L}}}={13},\overline{{{M}{N}}}={6},\overline{{{N}{L}}}={10},\triangle{R}{Q}{S},\overline{{{R}{Q}}}={39},\overline{{{R}{S}}}={18},\overline{{{S}{Q}}}={30}\)
Find the scale factor from
\(\displaystyle\triangle{M}{\ln{}}\)
to
\(\displaystyle\triangle{R}{Q}{S}\)
.
Jaya Legge
2021-11-02
Answered
Find the volume of the solid in the first octant bounded by the coordinate planes, the plane x = 3, and the parabolic cylinder
\(\displaystyle{z}={4}-{y}^{{{2}}}\)
.
alesterp
2021-11-02
Answered
To prove : The similarity of
\(\displaystyle\triangle{N}{R}{T}\)
with respect to
\(\displaystyle\triangle{N}{S}{P}\)
.
Given information: Here, we have given that
\(\displaystyle\overline{{{S}{P}}}\)
is altitude to
\(\displaystyle\overline{{{N}{R}}}\ {\quad\text{and}\quad}\ \overline{{{R}{T}}}\)
is altitude to
\(\displaystyle\overline{{{N}{S}}}\)
.
2021-10-29
a.Triangles ABCABC and BCDBCD are congruent by the Side-Side-Side Triangle Congruence Theorem. b.Triangles ABCABC and DCBDCB are congruent by the Side-Angle-Side Triangle Congruence Theorem. c.Triangles ABCABC and DCBDCB are congruent by the Side-Side-Side Triangle Congruence Theorem. d.There is not enough information to determine if the triangles are congruent e.Triangles ABCABC and DCBDCB are congruent by the Angle-Angle Triangle Congruence Theorem. f.Triangles ABCABC and BCDBCD are congruent by the Angle-Side-Angle Triangle Congruence Theorem.
Aneeka Hunt
2021-10-28
Answered
Find the volume of the solid that lies inside both of the spheres
\(\displaystyle{x}^{{2}}+{y}^{{2}}+{z}^{{2}}+{4}{x}-{2}{y}+{4}{z}+{5}={0}\)
and
\(\displaystyle{x}^{{2}}+{y}^{{2}}+{z}^{{2}}={4}\)
Jaden Easton
2021-10-25
Answered
A steel cylinder has a length of 2.16 in, a radius of 0.22 in , and a mass of 41 g. What is the density of the steel in
\(\displaystyle\frac{{g}}{{c}}{m}^{{3}}?\)
Jerold
2021-10-22
Answered
Given 2 rectangles. Model the area of each using a quadratic function, then evaluate each, considering x=8.
(1st) l=2x+4; h=x+3
(2nd) l=3x-9; h=x+2
Joni Kenny
2021-10-17
Answered
Given a rectangular card that is 5 inches long and 3 inches wide, what does it mean for ]another rectangular card to have the same shape?
floymdiT
2021-10-10
Answered
Find the equation of the straight lines that pass throught the following sets of points:
a) (2;4);(4;7)
b) (3;-5);(-2;2)
c) (1;3);(-3;1)
Carol Gates
2021-09-25
Answered
Find the overlapping area of two equations also give its geometrical representation:
\(\displaystyle{u}^{{{2}}}+{v}^{{{2}}}={n}{\quad\text{and}\quad}{u}^{{{2}}}+{\left({v}-{n}\right)}^{{{2}}}={1}\)
put
\(\displaystyle{n}={516}\)
Anonym
2021-09-25
Answered
Let D be the region between the circles of radius 6 and radius 8 centered at the origin that lies in the third quadrant.
Express D in polar coordinates.
Select the correct answer below:
1)
\(\displaystyle{D}={\left\lbrace{\left({r},\theta\right)}{\mid}{6}\leq{r}\leq{8},{0}\leq\theta\leq{\frac{{\pi}}{{{2}}}}\right\rbrace}\)
2)
\(\displaystyle{D}={\left\lbrace\begin{array}{cc} {r}&\theta\end{array}\right)}{\mid}{6}\leq{r}\leq{8},\pi\leq\theta\leq{\frac{{{3}\pi}}{{{2}}}}\rbrace\)
3)
\(\displaystyle{D}={\left\lbrace{\left({r},\theta\right)}{\mid}{0}\leq{r}\leq{8},\pi\leq\theta\leq{\frac{{{3}\pi}}{{{2}}}}\right\rbrace}\)
4)
\(\displaystyle{D}={\left\lbrace{\left({r},\theta\right)}{\mid}{6}\leq{r}\leq{8},\pi\leq\theta\leq{2}\pi\right\rbrace}\)
Phoebe
2021-09-24
Answered
The graph of a polar equation is given. Select the polar equation for graph from the following options.
\(\displaystyle{r}={2}{\sin{\theta}},{r}={2}{\cos{\theta}},{r}={1}+{\sin{\theta}}\)
\(\displaystyle{r}={1}-{\sin{\theta}},{r}={3}{\sin{{2}}}\theta,{r}={3}{\sin{{3}}}\theta\)
FizeauV
2021-09-23
Answered
Find the area of the shaded region if C and D are center
sodni3
2021-09-21
Answered
Use a double integral to find the area of the region. The region inside the circle
\(\displaystyle{\left({x}-{1}\right)}^{{2}}+{y}^{{2}}={1}\)
and outside the circle
\(\displaystyle{x}^{{2}}+{y}^{{2}}={1}\)
Bergen
2021-09-21
Answered
What is the radius and center for
\(\displaystyle{\left({x}-{2}\right)}^{{{2}}}+{y}^{{{2}}}={16}?\)
A.
\(\displaystyle{r}={16}\)
; center is (2,0)
B.
\(\displaystyle{r}={4}\)
; center is (-2,0)
C.
\(\displaystyle{r}={16}\)
; center is (-2,0)
D.
\(\displaystyle{r}={4}\)
; center is (2,0)
Kyran Hudson
2021-09-20
Answered
Describe in words the surface whose equation is given. r = 5
usagirl007A
2021-09-18
Answered
At one point in a pipeline the waterâ€™s speed is 3.00 m/s and the gauge pressure is
\(\displaystyle{5.00}\times{10}^{{{4}}}{P}{a}\)
. Find the gauge pressure at a second point in the line, 11.0 m lower than the first, if the pipe diameter at the second point is twice that at the first.
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