Géométrie
Triangles, cercles, géométrie analytique et démonstrations.
-
a is equidistant to b and c. find bd. bd = ? b 12x - 8 d 8x + 8 c
\( 40 \)
-
question 11 find the equation of a line containing the following points…
$x=-1$
-
la pirámide rectangular y el prisma rectangular que se muestran a conti…
\( 16 \, \text{cm}^3 \) ### (b) Cálculo del volumen del prisma
-
apply: circle problem #1 point o is the centre of the circle. what is t…
\( \boxed{112} \)
-
a is equidistant to b and c. find bd. bd =? b 11x + 9 d 4x + 30 c
\( 42 \)
-
question determine which translations would map figure q onto figure r.…
A translation $\boldsymbol{4}$ units left and $\boldsymbol{4}$ units up.
-
ad is a perpendicular bisector of bc. find ac. 11x - 2 5x + 10 ac = ? b…
\( 20 \)
-
question what is the image point of $(-5, 0)$ after a translation left …
$(-7, -1)$
-
determine if the two triangles are necessarily congruent. if so, fill i…
are
-
question what is the image point of (-7,4) after a translation left 3 u…
$(-10, 9)$
-
apply: circle problem #1 point o is the centre of the circle. what is t…
\(112\)
-
explore: tangent and chord what do you notice? where is the vertex for …
The vertex of each angle (formed by a tangent and a chord) is at the point of tangency (on the circle). Also, the measure of the tangent - chord angle is half the measure of its i…
-
explore: what do you notice? ac is the diameter of the circle. try movi…
As point B moves around the green semicircle, the angle ∠B remains a right angle (90°) at all times. This is due to Thales' theorem, which states that an angle inscribed in a semi…
-
$\\overline{xy}$ is dilated with a scale factor of 2 and a center of di…
\(X'\) is at \((-6, 8)\) and \(Y'\) is at \((-14, 4)\) (the third option: \(X'\) is at \((-6,8)\) and \(Y'\) is at \((-14,4)\))
-
question the width of a rectangle measures (5h + 2k) centimeters, and i…
\( 12h + 14k \) (corresponding to the option "12h + 14k" among the given choices)
-
explore: what do you notice? drag inscribed angles $\\angle$l1 & $\\ang…
When dragging inscribed angles ∠1 and ∠2 (that subtend the same or congruent arcs), their measures remain equal (e.g., both are 30° here), showing that inscribed angles subtending…
-
explore: what do you notice? drag points a and b. inscribed angles ∠a a…
Notice: Inscribed angles subtended by the same arc have equal measures (both \( 30^\circ \) here, and the central angle is twice that, \( 60^\circ \)). Question: How does the posi…
-
do the dilations of \\(\\overline{ab}\\), \\(\\overline{bc}\\), and \\(…
The correct option is: $\boldsymbol{\overline{A'B'}}$ and $\overline{A'C'}$ pass through the center of dilation because they are on the same line as $\overline{AB}$ and $\overline…
-
en la figura mostrada a continuación, ( l parallel m ). hallar ( x ). (…
\( x = 50 \)
-
en la figura mostrada a continuación, ( l parallel m ). hallar ( x ).
\( 55 \)
-
question 5 find the equation of a line with given slope and containing …
$y = \frac{3}{2}x - 1$
-
graph the line with the equation $y = \\frac{1}{3}x + 4$.
The line passes through points $(0, 4)$ and $(3, 5)$ (and other points following the slope $\frac{1}{3}$), forming a straight line rising from left to right on the coordinate plan…
-
question the width of a rectangle measures (6p + 9) centimeters, and it…
\( 18p + 30 \)
-
question the width of a rectangle measures (8s + 8t) centimeters, and i…
24t + 28s (the first option among the choices)
-
in a right triangle, one angle measures 25°, and the opposite side is 5…
Approximately 10.72 units
-
explore: measurements of inscribed and central angles measure of \\(\\a…
The inscribed angles are half as large as the central angles (or the measure of an inscribed angle is $\frac{1}{2}$ the measure of its corresponding central angle, so the inscribe…
-
explore: measurements of inscribed and central angles enter the measure…
For the first row: - Measure of \( \angle I \): \( 39.8^\circ \) - Measure of \( \angle C \): \( 79.6^\circ \) - \( \frac{\angle I}{\angle C} \): \( 0.5 \) (For the other rows, yo…
-
a pole that is 3.5 m tall casts a shadow that is 1.31 m long. at the sa…
112 m
-
pythagorean theorem at best buy television fun facts: - tvs come in a w…
The length of the 48 - inch television is approximately \(\boldsymbol{41.85}\) inches.
-
explore: measurements of inscribed and central angles enter the measure…
39.8°
-
determining interior and exterior angles in circles given: in circle i,…
\( 52.5 \)
-
in the right triangle, one leg is 30, one acute angle is 20°, and we ne…
$W \approx 10.92$
-
explore: what do you notice? move the three red points. what do you not…
The measure of the central angle (angle C) is approximately twice the measure of the inscribed angle (angle I) that subtends the same arc. As the red points are moved (changing th…
-
find the value of x. round to the nearest enth. 18° 14 x
$45.3$
-
in the triangle figure, side ab is 11, angle at b is 74 degrees, angle …
$x \approx 3.03$
-
determining interior and exterior angles in circles given: - ( moverarc…
The reason for \( m\angle DLJ = 46.75^{\circ}\) (wait, the image says \( 56.75^{\circ}\), maybe my arc measures are wrong. Wait, maybe the correct formula application: Let's recal…
-
explore: what do you notice? angle i is an inscribed angle. move the re…
An inscribed angle is an angle with its vertex on the circumference of a circle, and its two sides are chords of the circle (connecting the vertex to two other points on the circl…
-
determining interior and exterior angles in circles given: in circle o,…
\( 56.75 \)
-
example 3: draw ( overline{mn} ), the image of ( overline{mn} ) after a…
The image $\overline{M'N'}$ has endpoints $M'(-3,-1)$ and $N'(-5,-6)$ (plot and connect these points on the provided coordinate grid). --- ### Example 4
-
engage: which one doesnt belong? choose one image that you think doesnt…
The bottom - right image (the fourth one in the grid) doesn't belong. For example, it is the only one with a right - angled triangle (indicated by the small square - shaped angle)…
-
find the length of side x in the right triangle with hypotenuse 47 and …
# Explicación: ## Paso 1: Identificar relación trigonométrica El lado $x$ es adyacente al ángulo de $24^\circ$, y el lado de 47 es la hipotenusa. Usamos el coseno: $\cos(\theta) =…
-
en la figura a continuación, determine lo siguiente. (a) un par de ángu…
### (a) Ángulos opuestos por el vértice Ángulos opuestos por el vértice son aquellos que se forman cuando dos líneas se cortan, y sus lados son opuestos. Por ejemplo, $\angle 2$ y…
-
nd the length of the stick. he nearest millimeter. millimeters
80 millimeters
-
an aquarium is to be drained. the aquarium is shaped like a rectangular…
20 minutes
-
4. pour mesurer la largeur de la rivière entre le point a et le point d…
La largeur de la rivière (distance \( AD \)) est de \( 22.5 \) mètres.
-
in the right triangle, one angle is 56°, one leg is 28, and the hypoten…
$x\approx33.8$ (rounded to one decimal place)
-
given ( m parallel n ), find the value of ( x ). answer attempt 1 out o…
\( x = 17 \)
-
given $l \\parallel m \\parallel n$, find the value of $x$.
\(x = 126\)
-
think use what you learned from reading the history article to answer t…
B. by stating that most had never been off their reservation ### Part B
-
given: \\(\\overline{bc} \\cong \\overline{ad}\\) and \\(\\overline{bc}…
We prove $\triangle ABC \cong \triangle CDA$ as follows: 1. $\overline{BC} \cong \overline{AD}$ (Given) 2. $\overline{BC} \parallel \overline{AD}$ (Given) 3. $\angle BCA \cong \an…
-
in the right triangle, one leg is 14, one acute angle is 63°, and the o…
$x \approx 27.48$ (redondeado a dos decimales)
-
what is the equation of the line that passes through the point (7, -4) …
\(x = 7\)
-
17. an angle is 4.11 radians and the length of an arc subtended by the …
The radius of the circle is approximately \( 6.33 \) ### Question 18
-
1. 32 x 24 9
\(x = 12\)
-
utilizar la figura para completar cada parte. (a) escribir otros dos no…
\( \angle TQR \) y \( \angle RQT \) ### (b)
-
aice egp 1- rowe-robinson discursive vs. argumentative writing review n…
### 1. Respuesta para "Evaluate the view that horror movies no longer have the impact they once did." # Breves Explicaciones: La palabra clave es "evaluate the view", lo que invit…
-
geometry name _lice guillemo id: 1 parallel lines cut by transversal qu…
1. Alternate exterior (alternos externos) 2. Corresponding (correspondientes) 3. Vertical (verticales) 4. Consecutive interior (consecutivos internos) 5. Alternate interior (alter…
-
find the measure of each angle indicated. 11) 12) 13) 14) 15) 16) 7) 18…
11. $122^\circ$ 12. $102^\circ$ 13. $100^\circ$ 14. $78^\circ$ 15. $73^\circ$ 16. $84^\circ$ 17. $109^\circ$ 18. $48^\circ$ 19. $51^\circ$ 20. $65^\circ$
-
use the figure to complete the statements. m∠b = select choice 0 m∠c = …
\( m\angle B = 36^\circ \) \( m\angle C = 72^\circ \)
-
chapter 2: angles draw and name an angle for each measure. then, classi…
1. Acute (Angle example: $\angle ABC=25^\circ$) 2. Obtuse (Angle example: $\angle DEF=110^\circ$) 3. Right (Angle example: $\angle GHI=90^\circ$) 4. Straight (Angle example: $\ang…
-
in a right triangle, the legs measure 5 units and 12 units. what is the…
C) 13 units
-
use the angle measures to complete the statement. m∠□ < m∠□ < m∠□
\( m\angle C < m\angle A < m\angle B \) (es decir, en los espacios: \( C \), \( A \), \( B \))
-
determine the length of side \\(\\overline{st}\\). round to the nearest…
\(12.2\)
-
pythagorean theorem at the baseball field fun facts: on a baseball diam…
The distance between second base and home plate is \(90\sqrt{2}\) feet (or approximately \(127.26\) feet).
-
use the geometric mean to find the value of x, which is the shortest le…
2.8 (the option with 2.8, so the answer is the option: 2.8)
-
use the geometric mean to solve for the value of x. (1 point) 60 7.75 1…
7.75
-
use the steps from the proof of the pythagorean theorem to find x. (1 p…
\( x = \frac{169}{12} \) (the third option: \( x = \frac{169}{12} \))
-
the length of side \\(\\overline{hg}\\) is \\(\\boxed{}\\).
7
-
given is the right triangle ( abc ) with altitude ( co ). which one of …
\( \boldsymbol{\triangle ABC \sim \triangle AOC} \)
-
write thr fraction, because your slope is an integer write a 1 on your …
3
-
a mason is using a right triangle to check a concrete basement floor to…
5
-
2) 71° 54° 4n + 1° n = ___
\(n = 4\)
-
6. what is the solution to the system of equations? write your answer a…
$(0, 4)$
-
drag each label to the correct location on the table. identify the ways…
- Pythagoras: devised a formula to measure the relationship between the sides of a right triangle - Euclid: often referred to as the "father of geometry"; wrote Elements, one of t…
-
similarity altitudes in right triangles back to intro page sarah is bui…
\( 1.0 \) (Wait, no, wait, \( \sqrt{150} \approx 12.2 \) inches, which is \( 12.2 \div 12 \approx 1.0 \) feet? But that seems too small. Wait, maybe the problem has a unit error, …
-
is the statement all similar figures are congruent true or false? true …
B. False (assuming the second option is "False" as per the typical true/false setup for this question, with the first being "True" and the second "False")
-
use the image to answer the question. use the geometric mean to solve f…
\( 3.5 \)
-
2 what is the solution to the system of equations? type a response
There is no solution (the system is inconsistent).
-
use the geometric mean to solve for the value of x. round your answer t…
\( 7.2 \)
-
for each pair of figures below, choose how they are related. the chart …
1. First pair: Translation 2. Second pair: Rotation 3. Third pair: Reflection 4. Fourth pair: Translation
-
1. what is the solution to the system of equations? write your answer a…
$(3, 2)$
-
a tryout anxiety anna, what are you doing here? i thought you would be …
1. Anna decides not to go to the tryout for a big new movie. 2. Mama says that Anna should go and do her best. 3. Anna is used to acting in silent movies.
-
use the image to answer the question.
If finding \( x \) (altitude), \( \boldsymbol{x = \sqrt{yc}} \); if finding leg relationships, e.g., \( b^2 = y(y + c) \), \( a^2 = c(y + c) \) (depending on the exact question, b…
-
find the area of the right triangle. 1 unit area = \\square square units
4
-
similar: congruent: all congruent figures are simil but not vice ver is…
True (the option corresponding to "True" in the multiple - choice, e.g., if the "True" option is the second one with the circle, then the answer is the option with "True" text)
-
what distinguishes congruent figures from similar figures? different or…
B. Same size (assuming the option "Same size" is the correct one; based on the visible options, the correct option is the one labeled "Same size")
-
what mathematical relationship describes the sides of similar figures? …
D. Proportional
-
given is the right triangle mnp with altitude mo. find the value of x. …
# Explanation: ## Step1: Recall the geometric mean theorem (altitude-on-hypotenuse theorem) for right triangles. In a right triangle, the length of a leg is the geometric mean of …
-
what geometric characteristic primarily determines similarity between f…
The option with "Same shape" (assuming the last option is "Same shape" as per typical similarity questions, e.g., if the last option is labeled as D: Same shape, then D. Same shap…
-
find the area of the figure below by first finding the areas of the rec…
Area of the rectangle: \( 10 \) square units Area of the triangle: \( 1 \) square units Area of the figure: \( 11 \) square units
-
3. find the missing angle introduction: angle (there is also an image w…
$\angle 1 = 24^\circ$, $\angle 2 = 67^\circ$, $\angle 3 = 65^\circ$, $\angle 4 = 60^\circ$, $\angle 5 = 52^\circ$, $\angle 6 = 107^\circ$, $\angle 7 = 80^\circ$, $\angle 8 = 100^\…
-
skill #2: solve basic equations solve each equation. 13. $5c - 9 = 8 - …
13. $\boldsymbol{c = \frac{17}{7}}$ 14. $\boldsymbol{g = 2}$ 15. $\boldsymbol{n = 8}$ 16. $\boldsymbol{x = 4 \text{ or } x = -4}$ 17. $\boldsymbol{x = 3 \text{ or } x = -3}$ 18. $…
-
quadrilateral fghi is a square. what is m∠efi? m∠efi = \\boxed{} ^\\circ
$45$
-
quadrilateral fghi is a square. what is m∠efi? m∠efi = \\boxed{} °
$45$
-
quadrilateral defg is a rectangle, df = 3v + 22, and eg = 5v - 66. what…
$154$
-
quadrilateral qrst is a rhombus and ( mangle qsr = 13c + 5^circ ). what…
$2$
-
self - assessment 1. in the diagram, $\\triangle jkl \\sim \\triangle p…
The scale factor from \( \triangle JKL \) to \( \triangle PQR \) is \( \frac{3}{2} \). ### Part b:
-
quadrilateral pqrs is a rhombus and ( mangle prs = 2x ). what is the va…
$31$
-
quadrilateral wxyz is a square. what is ( mangle vyx )?( mangle vyx = s…
$45$
-
quadrilateral defg is a rhombus and ( mangle cde = w + 12^circ ). what …
$17$