Geometry
Triangles, circles, coordinate geometry, and proof-oriented questions.
-
the following figure is a rectangle made up of two smaller rectangles. …
(a) The dark rectangle (on the left): 21 The light rectangle (on the right): $7x$ (b) As a sum of two areas: $21 + 7x$ As a product of the length and width: $7(3 + x)$
-
question the figure below is reflected over x - axis. what are the coor…
(-1, -6)
-
consider the following coordinate points and select the correct answer …
$(-5,3)$: Quadrant II $(5,12)$: Quadrant I $(-5,-5)$: Quadrant III $(2,-6)$: Quadrant IV
-
a sign in the shape of a right triangle has one leg that is 51 inch(es)…
21
-
find the length of the segment below. round your answer to the nearest …
No se encuentra la respuesta correcta en las opciones dadas. Pero si se aplicó correctamente la fórmula de distancia entre dos puntos en el plano cartesiano, el resultado correcto…
-
find the length of the segment below. round your answer to the nearest …
6.7
-
2 find the perimeter of the square abcd with vertices shown below in th…
16
-
the hypotenuse of a right triangle measures 13 cm and one of its legs m…
5
-
find the length of the segment below. round your answer to the nearest …
7.8
-
13. if q is the mid - point of $overline{pr}$, find the coordinates of …
13. The coordinates of $R$ are $(-3,8)$. 15. The coordinates of the rest - stop are $(5,2.5)$ and the distance between the high school and the stadium is $32$ miles.
-
one of the legs of a right triangle measures 9 cm and the other leg mea…
$9.1$ cm
-
the hypotenuse of a right triangle measures 7 cm and one of its legs me…
$6.7$ cm
-
find the length of the segment below. round your answer to the nearest …
7.6
-
in the figure below, $mangle1 = 6x^{circ}$ and $mangle2=(x + 19)^{circ}…
$m\angle1 = 138^{\circ}$ $m\angle2 = 42^{\circ}$
-
in the figure below, m∠2 = 43°. find m∠1.
$137^{\circ}$
-
given the figure below, find the values of x and z. (9x + 89)° (8x + 57…
$x = 2$ $z = 107$
-
given the figure below, find the values of x and z.
\(x = 9\), \(z = 108\)
-
given the figure below, find the values of x and z. 72° (9x + 9)° z° x =
$x = 7$, $z = 108$
-
(a) an angle measures 71°. what is the measure of its supplement? (b) a…
(a) $109^{\circ}$ (b) $28^{\circ}$
-
(a) an angle measures 108°. what is the measure of its supplement? (b) …
measure of the supplement: $72^{\circ}$ measure of the complement: $62^{\circ}$
-
g is the midpoint of fh. if fg = 8x and gh = 4x + 7, what is gh?
14
-
in the figure below, m∠4 = 38°. find m∠1, m∠2, and m∠3.
$m\angle1 = 38^{\circ}$ $m\angle2 = 142^{\circ}$ $m\angle3 = 142^{\circ}$
-
in the figure below, (mangle abd = 112^{circ}), and (mangle1) is (60^{c…
$26$
-
the following equation is the formula to find the area of a triangle. s…
D. $h = \frac{2A}{b}$
-
two lanes of a race track run parallel to each other. the outer lane is…
22) The slope of the inner lane is $0.5$ because parallel lines have the same slope and the outer - lane has a slope of $0.5$. 23) The equation of the inner lane in slope - interc…
-
in the diagram below, $overline{ac}congoverline{ce}$ and $d$ is the mid…
\(25\)
-
here is an equation y = -9/8x + 17. what form is this linear equation i…
The equation is in slope - intercept form. d) Slope: $-\frac{9}{8}$ e) Y - intercept: $17$ f) X - intercept: $\frac{136}{9}$
-
20. the graph below shows a parabola with vertex at (0, -1) that passes…
B. $y = 2x^{2}-1$
-
2.4.1 check your understanding a conditional statement is shown. if all…
The hypothesis of the conditional is "all the points on a shape are equally distant from a single point". The conclusion of the conditional is "the shape is a circle".
-
name: jamei robinson date: 9/17/2025 pd: 1a unit 1 day 5.5 wrap - up: c…
The equation is in Standard Form. The x - intercept is 8 and the y - intercept is 4.
-
9. if $rs = 23 - 2x$, $st = 9x - 5$, and $rt = 39$, find $rs$. 10. give…
9. \(RS = 17\) 10. \(XY\approx15.23\) 11. \((-5,1)\) 12. \(CD = 15\)
-
2.4.8 check your understanding a conditional statement is shown. \if tw…
The hypothesis of the conditional is "two angles form a linear pair." The conclusion of the conditional is "they are supplementary."
-
the city is planning to build a new bike path. the path will run parall…
$y = 2x-5$
-
your answer (a) name the vertex of ∠pmq. (b) name the sides of ∠2. (c) …
(a) $M$ (b) $\overrightarrow{MP}$; $\overrightarrow{MQ}$ (c) $\angle QMN$; $\angle M$
-
(a) write two other names for ∠rqs. (b) name the vertex of ∠sqt. (c) na…
(a) $\angle 2$, $\angle SQR$ (b) $Q$ (c) $\overrightarrow{QT}$, $\overrightarrow{QR}$
-
name: jameel robinson date: 9/17/2025 unit 1 day 5.5 wrap - up: connect…
d) Slope: $-0.5$ e) Y - intercept: 4 f) X - intercept: 8
-
how far apart are h and q? q(2,5) h(-6,-5) 12.8 17.6 14.4
12.8
-
12. (a.eo.2.b, 5 points) which expression can be used to represent the …
C. $6k + 26$
-
spelling practice: max’s music recital directions: circle the correct w…
1. weak 2. knew 3. advice 4. led 5. apart 6. preceded 7. breath 8. peek 9. piece 10. all together 11. aisle 12. dessert
-
a rotation that turns a shape 90 degrees counterclockwise will move a p…
1. \((-y,x)\) 2. \(x\) 3. scale
-
the lines on a tennis court form adjacent angles with measures of (3a -…
$a = 39$ $b = 38$
-
14. (3 pts) solve and graph the inequality below 4 - 2x > - 2
The solution of the inequality is $x < 3$. On the number - line, there is an open circle at 3 and the line is shaded to the left of 3.
-
if m∠abc=(3m - 15)° and m∠abd=(5m + 59)°, find the value of m such that…
17
-
lines de and ab intersect at point c. what is the value of x? (2x + 2)°…
# Explanation: ## Step1: Use vertical - angle property Vertical angles are equal. So, $2x + 2=5x - 3$. ## Step2: Rearrange the equation Subtract $2x$ from both sides: $2 = 5x-2x -…
-
given: (overleftrightarrow{ab}) intersects (overleftrightarrow{de}) at …
linear pair postulate
-
angles 1 and 2 form a right angle. which word describes their measures?…
C. complementary
-
give another name for line rq. what is another name for plane f? what i…
- Otro nombre para la línea RQ: línea QR - Otro nombre para el plano π: plano PWR - Intersección de las líneas PS y RQ: punto R
-
triangle abc is a right triangle. what is the relationship between angl…
They are complementary.
-
a rotation around the origin by 180 degrees changes the coordinates of …
1. $(-x,-y)$ 2. Opposites 3. Shape
-
if (mangle abc=(3m - 15)^{circ}) and (mangle abd=(5m + 50)^{circ}), fin…
# Explanation: ## Step1: Recall supplementary - angle property Supplementary angles sum to 180°. So, \(m\angle ABC + m\angle ABD=180^{\circ}\). ## Step2: Substitute angle - measur…
-
rectangle qrst is shown. angle qrt is congruent to angle str, and angle…
They are complementary.
-
two lines are intersected by a third line. if ∠2 ≅ ∠6, which must be tr…
$m\angle2 = m\angle8$
-
rays ba and bc are perpendicular. point d lies in the interior of ∠abc.…
$x = 14$ $m\angle ABD = 47^{\circ}$ $m\angle DBC = 43^{\circ}$
-
right angle fcd intersects ab and ce at point c. ∠fce is congruent to ∠…
They are congruent and complementary.
-
reflecting a point (m, n) over the y - axis will change it to. to dilat…
1. $(-m,n)$ 2. $(2p,2q)$ 3. without
-
figure lmno is a parallelogram. angles l and m are supplementary. what …
180
-
angles a and b are supplementary. angle a has a measure of 80°. what is…
100
-
a changes the size of a shape by a specific scale factor while maintain…
1. Dilation 2. $(x + 4,y + 3)$ 3. $(b,-a)$
-
a moves a shape without changing its size, shape, or orientation. a inv…
1. Translation 2. Rotation 3. Reflection
-
use an equation to solve each problem. 11. the sum of three consecutive…
The integers are 27, 29, 31. ### 12.
-
unit 1 post test year long (total 61 pts) 1. (4 pts) the length of a re…
Length = 47 Width = 26
-
10. (2 pts) the formula r = \\frac{d}{2} can be used to find the radius…
A. $d = 2r$ ### Question 16
-
the excerpt from daughter of invention. \sticks and stones dont break b…
C. Words cannot actually hurt a person like sticks and stones can.
-
use an equation to solve each problem. 11. the sum of three consecutive…
27, 29, 31 ### 12.
-
3. write and determine the truth - value of the converse of the conditi…
# Explicación paso a paso: ## Paso 1: Definir la condición original y su recíproca para a. La condición original es "Si un polígono es un cuadrilátero, entonces tiene cuatro lados…
-
parallel lines cut by a transversal coloring activity! 1 find the value…
1. \(x = 3\) 2. \(x = 12\) 3. \(x = 5\) 4. \(y=\frac{130}{3}\) 5. \(y=\frac{364}{105}\) 6. \(y=\frac{59}{2}\)
-
self - assessment use the diagram in example 3. 4. if it is given that …
4. Draw the same number of small tick - marks on $\overline{PW}$ and $\overline{QW}$. 5. Any two angles that form a straight - line in the diagram are supplementary. 6. No, we can…
-
5 alonso estimated the distance across a pond as √232 meters. circle th…
$15.232$
-
graph the inverse of the provided graph on the accompanying set of axes…
Follow the steps above to graph the inverse by reflecting points across the line \(y = x\) and plotting at least 5 points on the new graph.
-
explain whether the triangles are similar.
The triangles \(\triangle ABC\) and \(\triangle FGH\) are similar because two pairs of corresponding angles are equal (\(\angle A=\angle F = 50^{\circ}\) and \(\angle C=\angle H =…
-
which statements are true regarding the diagram? check all that apply. …
$\overline{CB}$ is contained on line $n$. $\overrightarrow{CE}$ is contained on line $m$. $\angle ECB$ is created from $\overrightarrow{CE}$ and $\overrightarrow{CB}$.
-
the undefined terms line and plane are needed to precisely define which…
perpendicular lines
-
planes x and y intersect at a right angle. (overrightarrow{ab}) and (ov…
$\overleftrightarrow{AB}$ and $\overleftrightarrow{CG}$ are parallel, $\overleftrightarrow{CG}$ and $\overleftrightarrow{RS}$ are perpendicular, $\overleftrightarrow{CG}$ lies in …
-
analyze the diagram to answer the questions. another way to name ∠sac w…
1. ∠CAS 2. S 3. ∠RAB
-
what is the value of m?
\(55.8\)
-
these figures are congruent. what is po? millimeters save answer
48
-
these figures are congruent. what is nl? miles save answer
71
-
which defines ray? a piece of a line with two endpoints all points equi…
a piece of a line that starts at the endpoint and extends indefinitely in one direction
-
1. (6 pts) the length of a rectangle is 5 less than three - times its w…
Length = $88.75$, Width = $31.25$ ### 2.
-
what is the value of t? 114.6°
$114.6$
-
these figures are congruent. what is m∠t? save answer
$58$
-
what is the value of r?
$36.5$
-
when you are communicating with others, it is important that you includ…
i. No, points D, G, and I are not collinear as they do not lie on the same line. ii. Yes, points A, C, and B are collinear as they lie on the same line. iii. Yes, $\overrightarrow…
-
these figures are congruent. what is km? □ miles save answer
50
-
what is the value of p?
$122.5$
-
matching mathematical terms and definitions match the definitions to th…
piece of a line with one endpoint → ray two rays with a common endpoint → angle all coplanar points equidistant from a given point → circle piece of a line with two endpoints → li…
-
the angle created by ray ox and ray oz is angle. the two rays that crea…
The angle created by ray OX and ray OZ is angle ∠XOZ. The two rays that create ∠YOX are ray OX and ray OY. The center of the circle is point O.
-
find the measure of ∠ptu. m∠ptu = °
$40$
-
solve for x. x = submit
$5$
-
find the midpoint of points a(3, 6) and b(7, -4) graphically. plot the …
$(5,1)$
-
solve for x. x =
$11$
-
which statement is true regarding the parallel and perpendicular lines …
\(w\parallel n\) and \(w\perp m\)
-
solve for x. (5x + 29)° (9x - 7)° x =
$9$
-
solve for x. (124 - x)° (8x + 43)° x = submit
$x = 9$
-
triangle abc is an isosceles triangle and the measure of one of the ang…
Case 1: ∠A = 40°, ∠B = 70°, ∠C = 70° Case 2: ∠A = 40°, ∠B = 40°, ∠C = 100°
-
solve for x. (5x - 3)° 62° x = submit
$13$
-
1. triangle abc a(0,9) b(4,9) c(0,1) the area of the triangle is 16 squ…
The circumference of the circle is $4\sqrt{2}\pi$ units and the area is $8\pi$ square units.
-
find the midpoint of points a(0, -1) and b(6, -7) graphically. plot the…
$(3,-4)$
-
three undefined terms in mathematics: i. point ii. line iii. plane the …
The mathematical term parallel lines explicitly uses the undefined term(s): Line, Plane. The mathematical term perpendicular lines explicitly uses the undefined term(s): Line. The…
-
question 11 find m∠yxz. © algebra einstein, 2023
\(60.5^{\circ}\)