Géométrie
Triangles, cercles, géométrie analytique et démonstrations.
-
label the parts of the right triangle.
- Top dropdown: Hypotenuse - Left dropdown: Leg - Bottom dropdown: Leg (Note: If the triangle is oriented with vertical and horizontal legs, the two legs are the perpendicular sid…
-
given: ( y parallel z ) prove: ( mangle 5 + mangle 2 + mangle 6 = 180^c…
To complete the proof: ### Statement 4: \(m\angle1 + m\angle2 + m\angle3 = 180^\circ\) ### Reason 4: def. of straight angle (since \(LAM\) is a straight line, the sum of angles on…
-
review homework: unit 3 - geometry question 37, 6.5.45 hw score: 56.9%,…
348.45 cubic inches
-
given: y || z prove: m∠5 + m∠2 + m∠6 = 180° angles lines statements rea…
To complete the proof: - Next **Statement**: \( \boldsymbol{\angle 3 \cong \angle 6} \) - Next **Reason**: alternate interior angles theorem (Subsequent steps follow with angle ad…
-
find the exact volume of a waffle ice cream cone with a 15-in. diameter…
\( 468.75\pi \) cubic inches
-
review homework: unit 3 - geometry question 35, 6.5.11 hw score: 56.9%,…
\( 36 \, \text{cubic centimeters} \) (or \( 36 \, \text{cm}^3 \))
-
find the volume of the solid. for formulas containing π, give the exact…
\( 24\pi \) cubic yards
-
find the volume of the solid. diagram of a rectangular prism with dimen…
\( 84 \) cubic inches
-
which of the following statements about the area of a circle is true? c…
A. The area of a circle is \( \pi \) times the radius squared.
-
review homework: unit 3 - geometry question 31, 6.4.61 hw score: 56.9%,…
123.84
-
given: y || z prove: m∠5 + m∠2 + m∠6 = 180° diagram: line y (lm) with p…
The proof is assembled by using the Alternate Interior Angles Theorem to relate \( \angle 1 \) to \( \angle 5 \) and \( \angle 3 \) to \( \angle 6 \), then applying the Linear Pai…
-
find how many square feet of land are in the plot shown on the right. t…
9600
-
find the area of the given geometric figure. if the figure is a circle,…
\( 400\pi \) square inches (or \( 400\pi \) in²)
-
find the area of the geometric figure. diagram of a composite geometric…
\( 52 \) square centimeters (or \( 52 \, \text{cm}^2 \))
-
what is the value of x? art not to scale. ○ x=23 ○ x=35 ○ x=58 ○ x=93
\( x = 93 \) (corresponding to the option \( x = 93 \))
-
which statement regarding the interior and exterior angles of a triangl…
A. An exterior angle is supplementary to the adjacent interior angle.
-
what is the value of h? ○ h = 20 ○ h = 35 ○ h = 55 ○ h = 70
\(h = 35\) (corresponding to the option "h = 35")
-
find the value of x. \ \ \\( \\bigcirc \\ x = 2 \\)\ \\( \\bigcirc \\ x…
\( x = 3 \) (corresponding to the option \( x = 3 \))
-
if ( mangle x = 34^circ ) and ( mangle z = 26^circ ), what is ( mangle …
\(m\angle Y = 120^\circ\) (the option: \(m\angle Y = 120^\circ\))
-
which statement regarding the diagram is true? ○ ( mangle mkl + mangle …
\(m\angle KML + m\angle MLK = m\angle JKM\) (the second option)
-
4 5 6 7 c b z statements reasons 1. abc is a triangle 1. given 2. ( y p…
corresponding angles are congruent
-
which is a true statement about the diagram? ∘ ( mangle5 + mangle6 = ma…
\( m\angle1 + m\angle2 = 180^\circ \) (the third option)
-
find the area of the geometric figure. trapezoid with top base 4 yd, he…
22 square yards
-
which statement regarding the diagram is true? ( mangle wxy = mangle yx…
\(m\angle WXY + m\angle YXZ = 180^\circ\) (the third option)
-
review homework: unit 3 - geometry question 26, 6.4.11 hw score: 56.9%,…
$60$ square meters
-
lines c and d are parallel lines cut by transversal p. which must be tr…
\( \angle 2 \cong \angle 6 \) (Option: \( \boldsymbol{\angle 2 \cong \angle 6} \))
-
what is the equation, in point - slope form, of the line that is perpen…
\(y + 3=\frac{1}{4}(x + 4)\) (the third option: \(y + 3=\frac{1}{4}(x + 4)\))
-
consider the diagram. lines a and d are ○ non - coplanar. ○ parallel. ○…
perpendicular (the option with the text "perpendicular")
-
find the area of the geometric figure. the area is \boxed{} (simplify y…
\( 16\frac{1}{4} \) square yards (or \( \frac{65}{4} \) square yards)
-
lines a and b are parallel lines cut by transversal f. if m∠1 = 110°, w…
\(70^\circ\) (corresponding to the option with \(70^\circ\))
-
unit 3 - geometry question 24, 6.4.1 hw score: 56.9%, 33 of 58 poin poi…
The area of the rectangle is \( 5 \) square meters (or \( 5 \, \text{m}^2 \)).
-
a pipe cleaner lay across a wire shelf. the wires that make up the shel…
They are same - side interior angles, so angle 3 measures \(50^{\circ}\).
-
which statement best explains the relationship between lines fg and hj?…
They are not perpendicular because their slopes are not negative reciprocals. (The option: They are not perpendicular because their slopes are not negative reciprocals.)
-
consider the diagram. lines ac and rs can best be described as ○ inters…
skew (the option corresponding to "skew")
-
consider the diagram. given that ( r parallel s ) and ( q ) is a transv…
B. alternate interior angles theorem
-
when finding (cos \theta = \frac{sqrt{3}}{2}) on a unit circle, what ty…
A. 30 - 60 - 90 triangle
-
planes x and y are perpendicular. points a, e, f, and g are points only…
A. \( \overleftrightarrow{EA} \) D. \( \overleftrightarrow{FG} \)
-
cosine is established as a rotation of a ray formed initially on which …
A. the positive x - axis
-
two parallel lines are crossed by a transversal. what is the value of (…
\(d = 125\) (corresponding to the option \(d = 125\))
-
read the passage from lord of the flies by william golding. he passed h…
the relationship between violence and human nature
-
the given line segment has a midpoint at (3, 1). what is the equation, …
\(y=\frac{1}{3}x\) (Option: \(y=\frac{1}{3}x\))
-
two parallel lines are crossed by a transversal. what is the value of y…
\( y = 100 \) (corresponding to the option \( y = 100 \))
-
which point is on the line that passes through point z and is perpendic…
(-4, 1)
-
what is the value of sine of $\\boldsymbol{\\theta}$ when $\\boldsymbol…
1 (corresponding to the option with value 1)
-
which statement best explains the relationship between lines cd and fg?…
They are perpendicular because their slopes are negative reciprocals. (The option: They are perpendicular because their slopes are negative reciprocals.)
-
in the diagram, ce=12 units and be=5 units. based on the given informat…
12 units (corresponding to the option "12 units")
-
if a || b and e || f, what is the value of y? options: 87, 88, 91, 92 (…
88
-
in the diagram, the length of segment qv is 15 units. what is the lengt…
11 units (Option: 11 units)
-
consider the following system of equations. \\\\begin{cases} -10x^2 - 1…
D. The equations represent circles that result in the same graph.
-
consider the following system of equations. \\\\begin{cases} -10x^2 - 1…
D. The equations represent circles that result in the same graph.
-
the center of a circle is at the origin on a coordinate grid. the verte…
The maximum number of solutions is three.
-
how many solutions exist for the system of equations in the graph? grap…
three
-
what must be the value of x so that lines c and d are parallel lines cu…
18
-
which points lie on the line that passes through point p and is paralle…
(-1, 3), (-2, 2), (-5, -1)
-
two parallel lines are crossed by a transversal. what is the value of g…
\(g = 75\) (corresponding to the option \(g = 75\))
-
given: ( g parallel h ) and ( angle 2 cong angle 3 ) prove: ( e paralle…
To complete the proof: | Statements | Reasons | | --- | --- | | 5. \( e \parallel f \) | 5. Converse of Corresponding Angles Theorem (since \( \angle 1 \cong \angle 3 \), correspo…
-
which statement best explains the relationship between lines pq and rs?…
They are not parallel because their slopes are not equal. (Third option: "They are not parallel because their slopes are not equal.")
-
given: e || f and g is a transversal prove: ∠1 ≅ ∠8 given that e || f a…
C. vertical angles theorem
-
two parallel lines, e and f, are crossed by two transversals. what is t…
\(m\angle 15 = 97^\circ\) (the option: \(m\angle 15 = 97^\circ\))
-
consider the two planes. in the diagram, the only figure that could be …
line d
-
which point on the x-axis lies on the line that passes through point p …
C. (1, 0)
-
which line is perpendicular to a line that has a slope of $-\\frac{5}{6…
line LM
-
which line is perpendicular to a line that has a slope of (\frac{1}{2})…
line HJ
-
how are lines kl and mn related? ○ the lines intersect at point k. ○ th…
The lines are perpendicular.
-
lines mn and pq are parallel. lines rs and tv intersect them. which sta…
1. The slope of line MN is $\frac{2}{3}$. 3. The slope of line RS is $-\frac{3}{2}$. 5. Line RS is perpendicular to both line MN and line PQ.
-
the slope of $overleftrightarrow{pq}$ is $(v - z)$ divided by $(w - x)$…
The slope of \(\overrightarrow{P'Q'}\) is \(\boldsymbol{(v + b) - (z + b)}\) divided by \((w + a) - (x + a)\). Both lines have a slope of \(\frac{v - z}{w - x}\), so the lines are…
-
the slope of \\(\\overleftrightarrow{pq}\\) is \\((v - z)\\) divided by…
### First Blank (Slope of \(\boldsymbol{\overrightarrow{PQ}}\)): The slope formula is \(m = \frac{y_2 - y_1}{x_2 - x_1}\). For points \(P(x, z)\) and \(Q(w, v)\), the change in \(…
-
which ordered pairs could be points on a line parallel to the line that…
(-1, 1) and (-6, -1), (1, 0) and (6, 2), (3, 0) and (8, 2)
-
which point could be on the line that is perpendicular to \\(\\overleft…
B. (2, 2)
-
use the given line and the point not on the line to answer the question…
(0, -3.6)
-
which coordinate for points a and b would help prove that lines ab and …
A': \((p, m)\) and B': \((z, -w)\)
-
which points could be on the line that is parallel to \\(\\overleftrigh…
\( (-3, 5) \), \( (3, 2) \), \( (5, 1) \)
-
which line is perpendicular to a line that has a slope of $-\\frac{1}{3…
line EF
-
what is the slope of line pq? what is the slope of line mn? how are the…
s: - Slope of line PQ: \(0\) - Slope of line MN: Undefined - Relationship: The lines are perpendicular. (Option: The lines are perpendicular.)
-
applying theorems to determine slope try it if line b is perpendicular …
\( 1 \)
-
use the diagram to answer the questions: is line m parallel to line n? …
No, the slopes are not equal. 2. Is line \( m \) perpendicular to line \( k \)?
-
question 5 (1 point) (01.08) which of the following represents the area…
a. \( 3x^{2}-x - 10 \)
-
are lines gh and gh perpendicular? why or why not? ○ yes, they intersec…
Yes, their slopes are negative reciprocals. (Corresponding option: "Yes, their slopes are negative reciprocals.")
-
given: $overleftrightarrow{pq} perp overleftrightarrow{pq}$ prove: $lef…
\(-d + b\)
-
given: $overleftrightarrow{pq} perp overleftrightarrow{pq}$ prove: $lef…
\(-d - (-b)\)
-
given: (overleftrightarrow{pq} perp overleftrightarrow{pq}) prove: (lef…
\( d - b \)
-
use the graph of the lines to determine if the two lines are parallel. …
The right translation units are 8. The two lines are parallel because translations preserve slope, and both lines have a slope of -2.
-
use the graph of the lines to determine if the two lines are parallel. …
# Explanation: ## Step1: Find the horizontal translation First, identify the x - coordinates of a point on line \(MN\) and its corresponding point on line \(M'N'\). Let's take poi…
-
find the measure of the missing angles. answer attempt 1 out of 2 d = °…
\( d = 102^\circ \), \( f = 51^\circ \) (assuming \( e = 129^\circ \) is correct) Wait, but maybe the correct answer is \( d = 29^\circ \), \( f = 27^\circ \)? No, that doesn't fi…
-
find the measure of the missing angles. answer attempt 1 out of 2 x = °…
\( x = 49^\circ \), \( y = 90^\circ \)
-
you want to build a garden in your backyard that fits into an odd shape…
s: a) The area of the garden is \(\boldsymbol{47.9}\space m^{2}\) b) The fencing required is \(\boldsymbol{33.4}\space m\)
-
consider the function ( y = 2 sin(x) ) for ( 0^circ leq x leq 360^circ …
The key points for the function \( y = 2\sin(x) \) in the interval \( 0^\circ\leq x\leq360^\circ \) are \( (0^\circ, 0) \), \( (90^\circ, 2) \), \( (180^\circ, 0) \), \( (270^\cir…
-
find the distance between the points (3, -10) and (3, -3).
7
-
find the length of side $overline{ab}$ for the trapezoid shown.
7
-
find the distance between the points (-6, -4) and (-6, 18).
22
-
find the length of side cd for the quadrilateral shown.
6
-
which number line shows the solution to the inequality? 3p + 4 < 10
The number - line with an open circle at 2 and the line extending to the left of 2.
-
a triangular prism is sliced horizontally parallel to its base as shown…
triangle
-
what is the area of the circle in square yards? use the formula a = πr²…
$25\pi$
-
what is the slope of this line?
$\frac{5}{4}$
-
δprt and δsrq are shown below. which statement is true? δprt is similar…
\(\triangle PRT\) is not similar to \(\triangle SRQ\)
-
which equation represents the line shown in the graph? y = -\\frac{2}{7…
$y =-\frac{7}{2}x + 3$
-
1. use the diagram to answer the following questions. a) how many point…
a) 5 b) 2 c) 1 d) $\overleftrightarrow{VW}$ e) $W$ f) $\overleftrightarrow{ZY}$ g) $V$, $W$, $Z$ h) plane $VWXYZ$
-
1. use the diagram to answer the following questions. a) how many point…
2. a) 8 b) 6 c) 2 d) $M$, $N$, $O$ e) $P$, $T$, $M$, $U$ f) $\overleftrightarrow{MN}$ g) $N$ h) $R$ i) plane $MNO$ j) $\overleftrightarrow{QP}$ 3. a) 8 b) 12 c) 6 d) $A$, $E$, $D$…
-
1. use the diagram to answer the following questions. a) how many point…
2. a) 8 b) 5 c) 2 d) $M, N, O$ e) $P, S, U, M$ f) $\overleftrightarrow{NM}$ g) $N$ h) $R$ i) plane $MNO$ j) $\overleftrightarrow{QP}$ 3. a) 8 b) 12 c) 6 d) $A, E, B$ e) $A, B, C, …