Géométrie
Triangles, cercles, géométrie analytique et démonstrations.
-
#1 which image below shows a translation? 25 points reflection \flippin…
C. Translation ("Sliding" a shape in any direction)
-
1. which of the following is not a rigid transformation? rotation trans…
C. dilation
-
solve for x. (5x - 3)° n k j m o 62° l i x = submit
\(13\)
-
in the diagram, m∠3 = 120° and m∠12 = 80°. which angle measures are cor…
- \( m\angle1 = 60^\circ \) - \( m\angle13 = 80^\circ \) - \( m\angle5 = 60^\circ \) - \( m\angle14 = 100^\circ \)
-
a section of wall is being framed. a model of the framing work is shown…
They are same - side interior angles. Angle \( A \) measures \( 55^{\circ} \) (the first option).
-
5. why is the lady’s shadow in the picture not a rigid transformation? …
The shadow is not the same image as the lady.
-
4. how many units has the polygon hijk been translated to produce a pol…
B. Left 2 units and down 3 units
-
factors and multiples: section a checkpoint 1. what are the possible si…
The possible side - length pairs (length and width) of the rectangle with an area of 10 square units are (1, 10), (2, 5), (5, 2), (10, 1).
-
3. what time would it be if you rotated the hour hand 90° clockwise? 3:…
6:00 (corresponding to the option "6:00")
-
2. what is the angle of rotation for point g mapped to point h? image o…
\(72^\circ\) counterclockwise (corresponding to the option: \(72^\circ\) counterclockwise)
-
factors and multiples: section a checkpoint 1. what are the possible si…
The possible side - length pairs (length and width) of the rectangle are (1, 10), (2, 5), (5, 2), (10, 1) (in units).
-
proving alternate exterior angles congruent given: lines p and q are pa…
A: $\boldsymbol{\angle 2 \cong \angle 3}$ B: $\boldsymbol{\angle 3 \cong \angle 7}$
-
how long is this in centimeters? 2.1 cm what is the length (cm) of the …
2.1 cm (corresponding to the purple option: 2.1 cm)
-
5. values for the area a of the rectangle shown are 12 ≤ a ≤ 36. write …
Compound Inequality: \( 12\leq 6x\leq 36 \) Solution: \( 2\leq x\leq 6 \)
-
3. according to the diagram below, determine the lengths of $overline{a…
The correct option is: "Sides \( \overline{AB} \) and \( \overline{WX} \) are not congruent. Side \( \overline{AB} \) measures approximately 6.71 units, and side \( \overline{WX} …
-
how long is this in centimeters? what is the length of the nail (cm)? o…
2 cm (corresponding to the orange option)
-
1. how many units has the polygon rstu been translated to produce a pol…
Up 3 units and right 6 units
-
2 which statements are correct about the triangles below? select all th…
\(\triangle DEF\) and \(\triangle LMN\) are not congruent (the option with the statement "\(\triangle DEF\) and \(\triangle LMN\) are not congruent")
-
a rectangular prism has a volume of 36 cubic units. it has 9 layers of …
4
-
1. according to the diagram below, determine the lengths of $overline{b…
A. Sides \( \overline{BC} \) and \( \overline{B''C''} \) are congruent and measure 2 units
-
4. graph the solution on the number line. 3(x + 3) - 2 < 4 or 1 - x ≤ -1
The solution to the inequality \(3(x + 3)-2 < 4\) or \(1 - x\leq - 1\) is \(x < - 1\) or \(x\geq2\). The graph representing this solution should have an open circle at \(x=-1\) (w…
-
3. write a compound inequality for the graph shown number line with -5,…
\( -4 < x \leq 0 \) (corresponding to the option: \( -4 < x \leq 0 \))
-
1. which compound inequality describes the solutions graphed below numb…
A. \( x \leq -2 \) or \( x > 3 \)
-
18) a right triangle with a 45° angle, hypotenuse labeled 7, right angl…
If we are finding the length of \(m\) (or \(n\)): \(\frac{7\sqrt{2}}{2}\) (or approximately \(4.95\))
-
select the indicated object in the diagram. then, name the object. 1. s…
The indicated object $\overrightarrow{IW}$ is a ray, and it is the blue arrow starting at the intersection point (assumed $I$) and extending upwards through $W$. The object is ray…
-
17) triangle: right-angled, angle 60° at the left vertex, hypotenuse la…
If we want to find \(a\), \(a = \sqrt{6}\); if we want to find \(b\), \(b=\sqrt{2}\)
-
16) 11√3 30° a b (right triangle diagram)
\(b = 11\), \(a = 22\)
-
what transformation appears to take place between the two triangles? ro…
D. Translation ### Second Question (Line segments connecting corresponding vertices)
-
which rule describes the composition of transformations that maps pre-i…
rₓ-axis ∘ T₋₆,1 (x,y)
-
how long is this in centimeters? (with a ruler image showing a nail, la…
2.1 cm (corresponding to the orange option: 2.1 cm)
-
15) triangle diagram: right angle, 60° angle, hypotenuse length 3, side…
\(b = \frac{3}{2}\) (or \(1.5\)) If we assume the problem is to find \(a\):
-
how long is this in centimeters? what is the length of the nail (cm)? 2…
2.2 cm (the option with "2.2 cm" text, likely the yellow-colored button option)
-
15) triangle with right angle, 60° angle, hypotenuse labeled 3, legs la…
\(\frac{3}{2}\) If we want to find \(a\):
-
cubic units. 6 figures d and e are made from unit cubes of the same siz…
It takes 4 of Figure D to make Figure E. The volume of Figure E is 4 times the volume of Figure D because Figure E has 4 times as many unit cubes as Figure D (16 vs. 4, and \( \fr…
-
14) diagram: right triangle with right angle at top - left, vertical le…
If finding \( x \): \( \boldsymbol{8\sqrt{3}} \) (or approximately 13.86) If finding \( y \): \( \boldsymbol{4\sqrt{3}} \) (or approximately 6.93) (Assuming the problem is to find…
-
name: date: volume & surface area homework (2) 1.) diagram of triangula…
The volume of the triangular prism is \( \boldsymbol{120 \, \text{cubic centimeters}} \). ### Part b: Net of Triangular Prism
-
volume & surface area homework (2) date: 1.) a.) find the volume. show …
The volume of the triangular prism is \( \boldsymbol{120 \, \text{cubic centimeters}} \). ### Part b: Draw the Net of the Triangular Prism A triangular prism has two triangular ba…
-
which rule describes the composition of transformations that maps figur…
R_S', 270° ∘ R_Q, 180°
-
13) triangle with right angle, 45° angle, hypotenuse ( 8sqrt{2} ), side…
\(u = 8\), \(v = 8\)
-
which inequality is represented on the line? number line from -11 to 11…
\(x < -4\) or \(x > 1\)
-
what is the final transformation in the composition of transformations …
a 180° rotation about point B'
-
11) right triangle with right angle, 60° angle, leg labeled (5sqrt{3}),…
If we are finding \(x\), the answer is \(10\); if we are finding \(y\), the answer is \(5\). (Assuming we are asked to find \(x\) and \(y\) for the right - triangle with angle \(6…
-
10) a right - angled triangle with a 60° angle, hypotenuse (8sqrt{5}), …
If we want to find \(x\), \(x = 4\sqrt{15}\); if we want to find \(y\), \(y = 4\sqrt{5}\)
-
6. jeremy drew a polygon with four right angles and four sides with the…
Jeremy drew a square (or a regular quadrilateral with four right angles and four equal - length sides).
-
9) a tree casts a shadow that is 24 ft long. a 4-ft tall young boy cast…
The tree is 32 feet tall.
-
(a) $overleftrightarrow{ys}$ and $overleftrightarrow{rt}$ are distinct …
# Explanation: ## Step1: Analizar colinealidad Para puntos ser colineales, deben estar en la misma línea. De la parte (a), las líneas son $\overleftrightarrow{YS}$ y $\overleftrig…
-
how long is this in centimeters? what is the length of the nail (cm)? o…
2 cm (the option with "2 cm" text, likely the yellow bar option)
-
which rule describes the composition of transformations that maps △abc …
\( r_m \circ R_{B', 270^\circ} \)
-
the figure shows parallelogram abcd with diagonal $overline{ac}$. compl…
To solve the two - column proof for showing that \(\angle ABC\cong\angle CDA\) in parallelogram \(ABCD\) with diagonal \(\overline{AC}\), we follow these steps: ### Step 1: Fill i…
-
6) a right triangle with hypotenuse ( 2sqrt{6} ), one acute angle ( 45^…
\(x = 2\sqrt{3}\), \(y = 2\sqrt{3}\)
-
progress: 0/3 part 1 of 3 (a) $overleftrightarrow{ys}$ and $square$ are…
$\overleftrightarrow{RT}$ (o $\overleftrightarrow{RS}$, $\overleftrightarrow{ST}$; la más apropiada según la gráfica es $\overleftrightarrow{RT}$)
-
what is the image of (9, 3) after a dilation by a scale factor of \\(\\…
\((3, 1)\)
-
question what is the image of (0, -9) after a dilation by a scale facto…
\((0, -3)\)
-
triangle jkl is transformed using the rule ( r_{o, 90^circ} circ r_{y=-…
(4, -7)
-
solve for x and graph the solution on the number line below. if possibl…
Inequality Notation: $x \leq 5$ Number Line: Plot a closed circle at 5 and shade to the left.
-
what is the image of (6, -4) after a dilation by a scale factor of 3 ce…
\((18, -12)\)
-
figure wxyz is transformed using the rule ( r_{y\text{-axis}} circ t_{-…
(3, 8)
-
(a) name a point on line l. box with p correct answer: p progress: 1/2 …
Line \( P \) (or if there's another point, say \( Q \), line \( PQ \); but based on part (a), the answer is likely line \( P \))
-
triangles below are congruent and their corresponding parts are marked.…
(a) \( \angle A \cong \angle Z \), \( \angle B \cong \angle X \), \( \angle C \cong \angle Y \) (b) \( \overline{AB} \cong \overline{XZ} \), \( \overline{AC} \cong \overline{YZ} \…
-
8. in the diagram below, all points are collinear. ( pt = 20 ), ( qs = …
B. 3
-
line l is shown below. progress: 0/2 part 1 of 2 (a) name a point on li…
\( D \) (or \( E \) or \( F \))
-
question 3 draw the image of △abc after a reflection across line ℓ.
The first (blue - selected) option (the one with the red triangle \(A'B'C'\) where \(A'\), \(B'\), \(C'\) are symmetric to \(A\), \(B\), \(C\) across line \(\ell\)).
-
solve for ( x ) and graph the solution on the number line below. if pos…
Inequality Notation: \( x < -7 \) or \( x \geq 10 \) (For the number line: Plot an open circle at -7, arrow left; closed circle at 10, arrow right.)
-
(a) name a point on line ( l ). d correct answer: d progress: 1/2 part …
Line \( D \) (or if there's another point, but based on part (a), the answer is line \( D \))
-
1) h ---- ? ---- g ---- 1 ---- f (h to f = 10, option 17) 2) r ---- 5 -…
9 ### 2) Find the length of \( WT \) We know \( WR = 5 \) and \( RT = 13 \). Let \( WT = y \). By segment addition: \( WR + RT = WT \)? Wait, no, actually \( WT = WR + RT \)? Wait…
-
draw the image of △abc after a reflection across line ℓ.
The first (top) option (with the red and blue points) is the correct reflection of \( \triangle ABC \) across line \( \ell \).
-
use the two triangles below to answer the following questions. enter a …
$\text{cong(triangle(ABC), triangle(DEF))}$
-
solve for x and graph the solution on the number line below. if possibl…
Inequality Notation: $x \geq 11$ Number Line: Plot a closed circle at 11 and shade to the right.
-
two boats leave a port at the same time. boat a travels east at a speed…
48
-
if the figure below were reflected across the x-axis, where would the p…
\( P'(3, -4) \), \( Q'(-2, -1) \), \( R'(0, 5) \)
-
if the figure below were reflected across the y-axis, where would the p…
- \( P' \): \((-3, 4)\) - \( Q' \): \((2, 1)\) - \( R' \): \((-1, -5)\)
-
how many faces does this three - dimensional shape have?
5
-
if the figure below has been reflected across the x-axis, what are the …
- P: \((3, -4)\) - Q: \((-2, -1)\) - R: \((1, 5)\)
-
question 8 if the figure below has been reflected across the y-axis, wh…
\(P(-3,4)\), \(Q(2,1)\), \(R(0,-5)\)
-
the triangles below are congruent and their corresponding parts are mar…
(a) $\angle A \cong \angle X$, $\angle B \cong \angle Z$, $\angle C \cong \angle Y$ (b) $\overline{AB} \cong \overline{ZX}$, $\overline{AC} \cong \overline{XY}$, $\overline{BC} \c…
-
use the two triangles below to answer the following questions. enter a …
cong(triangle(ABC), triangle(DEF))
-
describe the transformation which maps the pre-image to the image. grap…
Reflection across x - axis
-
quadrilateral abcd is transformed according to the rule ( (x, y) \to (y…
R₀,270°
-
describe the transformation which maps the pre-image to the image. opti…
\( (x,y)\to(x, - y) \) (the first option)
-
what is the volume of the rectangular prism?
The volume of the rectangular prism is 100 cubic inches.
-
triangle mnp is rotated -270° about the origin. if m(7, -2), n(4, -3), …
M'(-2, -7), N'(-3, -4), P'(-1, -2)
-
what is eh? (diagram: points g, f, e with right angles at g and e, angl…
\( 81 \)
-
a triangle has vertices at l(2, 2), m(4, 4), and n(1, 6). the triangle …
The rule for the transformation is (x,y)→(-x,-y), The coordinates of L' are (-2,-2), The coordinates of N' are (-1,-6)
-
if sv = uv = 58 and m∠utv = 36°, what is m∠stu? m∠stu = °
\( 72 \)
-
what is the value of u? diagram: points j, g, h, i; right angles at i (…
\( 18 \)
-
one vertex of a polygon is located at (3, −2). after a rotation, the ve…
R0,90°, R0,-270°
-
if ps = rs = 74, m∠pqs = b + 30°, and m∠rqs = 2b, what is m∠pqs? diagra…
\( 50^\circ \)
-
the diameter of a circle is multiplied by 10. how does the circumferenc…
A. It is divided by 10.
-
6 cm area = ______
\( 36 \) square centimeters (or \( 36 \, \text{cm}^2 \))
-
what is rs? rs =
\( 70 \)
-
if $\\angle pqs \\cong \\angle rqs$ and $ps = 79$, what is $rs$? $rs = …
\(79\)
-
directions: you will become an expert on one document and then go back …
To provide a summary for one of the documents (e.g., "Mandate of Heaven"): ### For "Mandate of Heaven": The Mandate of Heaven was a Chinese political philosophy asserting that a r…
-
one vertex of a triangle is located at (0, 5) on a coordinate grid. aft…
\( R_{0,270^\circ} \), \( R_{0,-90^\circ} \)
-
which picture shows a net of a triangular prism?
To determine the net of a triangular prism, we recall the structure of a triangular prism: it has two triangular bases and three rectangular lateral faces. A net of a triangular p…
-
a pentagon is transformed according to the rule ( r_{0, 180^circ} ). wh…
(x, y) → (-x, -y)
-
translate the sentence into an equation or formula. the perimeter p of …
\(P = a + b + c\)
-
triangle xyz has vertices x(1, 3), y(0, 0), and z(-1, 2). the image of …
R0, 90°
-
if ∠rsu ≅ ∠tsu and tu = 96, what is ru? diagram: u connected to t (righ…
\( 96 \)
-
applications of the cosine law 5. two forest fires were reported on the…
The water bomber cannot return safely to base on a single tank because the total distance traveled (approximately 913.37 miles) exceeds its range of 800 miles.
-
the equation ( v = \frac{4}{3}pi r^3 ) represents the relationship betw…
As the radius increases to infinity, the volume of the sphere will increase to infinity (the fourth option among the given choices).