Geometry
Triangles, circles, coordinate geometry, and proof-oriented questions.
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look at this diagram: if $overleftrightarrow{bd}$ and $overleftrightarr…
$68$
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look at this diagram: if (overleftrightarrow{ik}) and (overleftrightarr…
$68$
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look at this diagram: if $overleftrightarrow{ik}$ and $overleftrightarr…
$62$
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find the midpoint of the line segment with the given endpoints. 16) (9,…
$(3,2)$
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look at this diagram: if $overleftrightarrow{km}$ and $overleftrightarr…
$115$
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look at this diagram: if $overleftrightarrow{ce}$ and $overleftrightarr…
$48$
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look at this diagram: if $overleftrightarrow{fh}$ and $overleftrightarr…
$126^{\circ}$
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look at this diagram: if $overleftrightarrow{ik}$ and $overleftrightarr…
$56$
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20 the circumferences of five different circles, in feet, are given bel…
G. $15.62, 4\pi, 10.\overline{45}, \sqrt{97}, 8$
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look at this diagram: if $overleftrightarrow{qs}$ and $overleftrightarr…
$130$
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look at this diagram: if $overleftrightarrow{df}$ and $overleftrightarr…
$43$
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look at this diagram: if $overleftrightarrow{ce}$ and $overleftrightarr…
$120$
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look at this diagram: if $overleftrightarrow{ce}$ and $overleftrightarr…
$127$
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look at this diagram: if $overleftrightarrow{gi}$ and $overleftrightarr…
$40$
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look at this diagram: if $overleftrightarrow{jl}$ and $overleftrightarr…
$140$
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look at this diagram: if $overleftrightarrow{df}$ and $overleftrightarr…
$70$
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find the midpoint of the line segment with the given endpoints. 15) (9,…
$(2,5.5)$
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let △abc≅△def. find m∠e. the value of m∠e is °. (simplify your answer. …
Since \(\triangle ABC\cong\triangle DEF\), corresponding angles are equal. \(\angle E\) corresponds to \(\angle B\), so \(m\angle E=(78 + y)^{\circ}\) (assuming no further informa…
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complete each sentence below by selecting always, sometimes, or never. …
14. B. sometimes 15. A. always 16. $\frac{2}{7}x^{\circ}$ 17. $100^{\circ}$ 18. $m\angle ADS = 62^{\circ}$ 19. $m\angle J = 116^{\circ}$ 20. $GI = 31$ 21. $m\angle APC = 86^{\circ…
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what is the length value represented at b? check all that apply. 3 mm 1…
29 mm, 2.9 cm
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9. given the two points a (4, 7) and b (14, - 3). find the following: a…
**Question 9** a) $(9,2)$ b) $(24,-13)$ c) $10\sqrt{2}$ **Question 10** a) $(10,-\frac{13}{2})$ b) $(31,-20)$ c) $\sqrt{277}$ **Extra Credit** $16$
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what is the measurable dimension of a line? (1 point) width height dept…
Length
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what other information, if any, do you need to prove the two triangles …
B. \( \angle N\cong\angle R \) is needed because the congruent angles need to be included between two corresponding congruent sides.
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what kind of line moves straight up and down? (1 point) vertical line d…
A. Vertical line
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9. given the two points a (4, 7) and b (14, -3). find the following: a)…
$(9,2)$ #### b)
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the vertices of $\triangle ghj$ are $g(-2, - 2)$, $h(-2,6)$, and $j(4,6…
First, find the side - lengths of \(\triangle GHJ\) using the distance formula \(d=\sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}\). The distance between \(G(-2,-2)\) and \(H(-2,6)\): Since \…
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what kind of line slants and looks as if it is either rising or falling…
C. Diagonal line
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prove that the triangles $delta svt$ and $delta srt$, shown in the figu…
3. \( \overline{ST}\cong\overline{ST} \) 4. Third - Angle Theorem 5. ASA (Angle - Side - Angle) Congruence Postulate
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prove that the triangles δsvt and δsrt, shown in the figure to the righ…
1. (No statement provided in the question to fill this, so can't answer this part precisely) 2. Reflexive Property of Congruence 3. (No statement provided in the question to fill …
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for the objects shown in isometric below, select the pattern from the c…
1. B 2. A
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the point z is plotted on the coordinate grid below. plot the point z, …
To plot the reflection of point $Z$ (assume the coordinates of $Z$ are $(- 2,1)$) over the $y$-axis, the coordinates of $Z'$ will be $(2,1)$. You would click on the point $(2,1)$ …
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geometry test sections 1.1 - 1.5 use proper notation. label the picture…
1. $\overrightarrow{AC},\overrightarrow{AQ}$ 2. $\overrightarrow{QR},\overrightarrow{QO}$ 3. $\overleftrightarrow{QR}$ 4. $E$ 5. $F$ 6. $5$ 7. $7$ 8. $x = 3,EF = 12$
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name: name not clear developing spatial thinking grade: grade not clear…
(Without specific options clearly labeled in the image, it's hard to give a definite answer. But the process involves visualizing the 3 - D object formed by folding the 2 - D net …
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find the value of the variable and the measures of the angles whose deg…
x = 49 The measure of the upper left interior angle is 49 The measure of the exterior angle, indicated by (3x - 8)°, is 139
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follow these steps to derive the law of cosines. 1. the relationship be…
substitution
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determine the relationship between the two triangles and whether or not…
The two triangles are related by Side - Side - Angle (SSA), so the triangles cannot be proven congruent.
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determine the relationship between the two triangles and whether or not…
Side - Angle - Side (SAS), and the triangles are congruent.
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encuentra la medida de los ángulos que faltan. respuesta d = e = f =
$d = 32^{\circ}$ $e = 111^{\circ}$ $f = 111^{\circ}$
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question determine the relationship between the two triangles and wheth…
The two triangles are related by ASA (angle - side - angle), so the triangles are congruent.
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4. a rectangular prism has a length of 7 cm, a width of 2 cm, and a hei…
$14\ cm^{2}$
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in the figure below, l || m. find x.
\(x = 91.5\) degrees
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solve for w and graph the solution. \frac{3w + 10}{2}<8 or \frac{3w - 2…
The solution is $w < 2$ or $w>6$. On the number - line, an open circle at 2 with an arrow pointing to the left and an open circle at 6 with an arrow pointing to the right.
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the figure below is a square. find the length of side $x$ in simplest r…
\(2\sqrt{5}\)
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find the midpoint of points a(1, 10) and b(7, 3) graphically. you may p…
$(4,6.5)$
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the triangles shown are congruent by the sss congruence theorem. the di…
translation, then rotation, then reflection
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for each set of three lengths, determine if they can be the side length…
4, 11, 9: Can be side lengths of a triangle 15, 7, 18: Can be side lengths of a triangle 9, 8, 10: Can be side lengths of a triangle 7.8, 8.4, 16.2: Cannot be side lengths of a tr…
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contrasting parallel and perpendicular lines the definition of parallel…
Parallel lines do not intersect. Parallel lines must be coplanar. Perpendicular lines intersect at one point. Perpendicular lines intersect so plane is not required in the definit…
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law of sines: $\frac{sin(a)}{a}=\frac{sin(b)}{b}=\frac{sin(c)}{c}$ in $…
5.8 units
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find an equation of the line graphed. write the equation in standard fo…
A. $4x + y=3$
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which angles are complementary to each other? ∠5 and ∠1 ∠2 and ∠6 ∠4 an…
# Explicación: ## Paso 1: Recordar la definición de ángulos complementarios Dos ángulos son complementarios si la suma de sus medidas es de 90 grados. ## Paso 2: Analizar cada par…
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which angle is supplementary to ∠2?
∠6
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which angle is complementary to ∠5?
∠1
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which angle is vertical to ∠6?
# Explicación: ## Paso1: Recordar la definición de ángulos verticales Los ángulos verticales son aquellos que se forman al intersecar dos rectas y comparten un vértice común, pero…
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other than itself, which angle is congruent to ∠1?
# Explicación: ## Paso 1: Identificar ángulos opuestos por el vértice Los ángulos opuestos por el vértice son congruentes. $\angle1$ y $\angle3$ son ángulos opuestos por el vértic…
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describe the transformation. the graph of f is a translation $\frac{1}{…
The graph of \(f\) is a translation \(\frac{1}{2}\) unit(s) up of the parent linear function.
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reflect point c over the dashed line. enter the new coordinates. c = (?…
\((0,1)\)
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question point q is on line segment $overline{pr}$. given $qr = 2x + 4,…
$46$
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find the volume of this object. use 3 for π. volume of a cylinder v = π…
285
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find the volume of this object. use 3 for π. volume of the cylinder v ≈…
$736$ $cm^{3}$
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find the volume of this object. use 3 for $pi$. volume of a cylinder v …
108
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find the location of k, the midpoint of $overline{jm}$. location of k:
5.9
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graph the image of △abc after a translation 1 unit left and 6 units up.
Plot the points \(A'(-7,7)\), \(B'(-7,9)\), \(C'(-2,5)\) and connect them to get the image of \(\triangle ABC\) after the given translation.
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based only on the information given in the diagram, which congruence th…
C. LA D. SAS F. LL
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the graph of an equation is given. (a) find the intercepts. (b) indicat…
(a) The intercepts of the graph are \((-2,0),(0,0),(2,0)\) (b) The graph is symmetric with respect to the origin.
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what is the best estimate for the area of circle a, in square units? us…
C) 113.04 square units
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the triangles are congruent by sss and hl. which transformation(s) can …
reflection, then translation
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look at this diagram: if (overleftrightarrow{jl}) and (overleftrightarr…
$63$
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the rectangle on the right is a scaled copy of the rectangle on the lef…
$\frac{3}{2}$
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refer to the figure to the right. (a) how many inches will the weight i…
(a) $11.7$ (b) $31^{\circ}12'$
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question point i is on line segment $overline{hj}$. given $ij = 3x + 3,…
$14$
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solve for b and graph the solution. 0 < \\frac{b + 18}{3} \\leq 3 plot …
The solution for $b$ is $-18 < b\leq - 9$. On the number - line, there is an open circle at $-18$ and a closed circle at $-9$, and the line segment is drawn between them.
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classify the four angles of the quadrilateral.
∠A: Right ∠B: Acute ∠C: Obtuse ∠D: Acute
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find the area of a sector of a circle having radius r and central angle…
$108.6$
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follow the steps to find the surface area of the square prism. what is …
$114\ cm^{2}$
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the frame of a bridge is constructed of triangles, as shown below. what…
\(m\angle STU = 37^{\circ}\) and \(m\angle VTU = 37^{\circ}\)
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follow the steps to find the surface area of the rectangular prism. wha…
$548$ cm²
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find the surface area of the prism using the net. what is the area of t…
$36$ cm$^{2}$
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classify the four angles of the quadrilateral.
∠A: Right ∠B: Obtuse ∠C: Acute ∠D: Right
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reflect the figure across the x - axis. then decide if each statement a…
False True True True
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question solve the inequality and graph the solution on the line provid…
Inequality Notation: $x>5$ Number Line: Open - circle at 5 and a line extending to the right.
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solve the inequality and graph the solution on the line provided. 4x + …
Inequality Notation: $x < - 4$ Number Line: Draw an open - circle at - 4 on the number line and shade the line to the left of - 4.
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use reference angles to find the exact value of the following expressio…
A. $\frac{\sqrt{3}}{3}$
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solve for x. 11) 12)
11) \(x = 12\) 12) \(x=-5\)
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encuentra la medida del ángulo que falta. respuesta a
$23^{\circ}$
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find the surface area of this cylinder. use 3.14 for π. do not round yo…
The area of both circles is $1413$ $cm^{2}$, the area of the rectangle (lateral - surface area) is $3768$ $cm^{2}$, and the total surface area is $5181$ $cm^{2}$.
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figure q is the result of a transformation on figure p. which transform…
A reflection over the x - axis.
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(from unit 1, lesson 2.) 9. in the construction, a is the center of one…
D. \(CA\)
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graph the image of kite abcd after a dilation with a scale factor of 4,…
Plot the points \((0,-8)\), \((8,0)\), \((0,4)\), \((-8,0)\) and connect them to get the dilated kite.
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if $overleftrightarrow{gi}$ and $overleftrightarrow{jl}$ are parallel l…
$136$
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look at this diagram: if $overleftrightarrow{np}$ and $overleftrightarr…
$53^{\circ}$
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look at this diagram: if $overleftrightarrow{ln}$ and $overleftrightarr…
$129$
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find the location of q, the midpoint of $overline{pr}$. location of q:
$-4$
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for the circle having the given equation, find each coordinate of the c…
Center: $(3,1)$ Radius: $\sqrt{8}\approx2.828$
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find the center and radius of the circle having the given equation. $x^…
Radius: $5$ Center: $(-1,3)$
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2.2 score: 12/13 answered: 12/13 question 13 for the circle having the …
Center: \((-2,-4)\) Radius: \(\sqrt{45}\approx6.708\)
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here is a diagram of a straightedge and compass construction. c is the …
Since $CB$ and $CD$ are both radii of the circle with center $C$, by the property that all radii of a circle are equal, the length of segment $CB$ is the same as the length of seg…
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look at this diagram: if (overleftrightarrow{tv}) and (overleftrightarr…
$123$
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section 1.2 i can use the segment addition postulate. 6. point l is on …
$x = 4$, $LM = 12$, $KL = 8$, $KM = 20$
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(from unit 1, lesson 4.) 5. in the construction, a is the center of one…
Segment \(EA\) and segment \(BC\) are radii of circles with equal radii lengths, so \(EA\) is the same length as \(BC\).
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write the standard form of the equation and the general form of the equ…
\(x^{2}+y^{2}-8x + 4y+13 = 0\)