幾何
三角形、円、座標幾何、証明問題。
-
given ( l parallel m parallel n ), find the value of ( x ).
\(12\)
-
determine if the two figures below are congruent. use the drop - down m…
The two figures are not congruent because non - rigid motions are used to map Figure 1 onto Figure 2.
-
estimate the measure of this angle within 15°.
\(120\)
-
identify a pair of same - side interior angles. choose the correct answ…
D. $\angle3$ and $\angle2$
-
write the coordinates of the vertices after a reflection over the line …
\(E'(-2,-2)\), \(D'(-3,0)\), \(B'(-3,-3)\), \(C'(-10,-2)\)
-
name two pairs of congruent angles in the figure. justify the answer se…
A. \(\angle WIT\) and \(\angle SIR\) according to the Congruent Complements Theorem; C. \(\angle WIS\) and \(\angle TIR\) according to the Right Angles Congruent Theorem.
-
the diagram shows a triangle. what is the value of y?
\(y = 45\)
-
given m || n, find the value of x and y. answer attempt 2 out of 2 x = …
\(x = 17\), \(y = 10\)
-
in the rectangular prism, each small cube has edges that are \\( \\frac…
\(2\frac{1}{2}\) inches
-
find the value of x
\(x = 121\)
-
which defines a line segment? two rays with a common endpoint a piece o…
a piece of a line with two endpoints
-
13.x= 14.x= y= 9 3 3 4
13. \(x = 3\sqrt{3}\) 14. \(x=2\sqrt{3}\), \(y = \sqrt{21}\)
-
the rectangle below is dilated by a scale factor of 4. find the perimet…
Perimeter of given rectangle: \(36\) units. Area of given rectangle: \(80\) units². Perimeter of dilated rectangle: \(144\) units. Area of dilated rectangle: \(1280\) units².
-
question determine a series of transformations that would map figure t …
A reflection over the \(x\) - axis followed by a translation \(10\) units up.
-
which angles form a linear pair? ∠prl and ∠lrm ∠orp and ∠mrn ∠mrn and ∠…
\(\angle MRN\) and \(\angle NRO\)
-
in the diagram, which angles are vertical angles? select two options. ∠…
\(\angle ABE\) and \(\angle CBD\), \(\angle ABC\) and \(\angle EBD\)
-
what is the value of x? 20 35 60 70
20
-
what additional information would make it immediately possible to prove…
For proving \(\triangle AXB\) and \(\triangle CXB\) using HL: If we assume right - angles (from the geometric figure's structure, common in such setups), we need to confirm the le…
-
draw in all lines of symmetry in the shape below. if there are no lines…
There are 4 lines of symmetry for the given shape. They are the vertical line, the horizontal line, and the two diagonal lines passing through the center of the shape.
-
use the statements to write a compound statement for the conjunction or…
\(\sim p\) is false, \(\sim q\) is false, and \(\sim p\wedge\sim q\) is false.
-
question determine the relationship between the two triangles and wheth…
The two triangles are congruent by the SAS (Side - Angle - Side) congruence criterion.
-
how do the areas of triangle abc and def compare? the area of (\triangl…
The area of \(\triangle ABC\) is \(1\) square unit greater than the area of \(\triangle DEF\).
-
look at this diagram: if \\( \\overleftrightarrow { n p } \\) and \\( \…
$129$
-
triangle nlm is reflected over the line segment as shown, forming trian…
\(\triangle NLM\cong\triangle CBA\)
-
select the correct answer from each drop - down menu. why are triangles…
The first drop - down: "a reflection across line \(AD\)" ; The second drop - down: "a rigid transformation"
-
solve for the missing angle. d
\(21^{\circ}\)
-
would you use sss or sas to prove the triangles congruent? if there is …
A. \(\triangle DNZ\cong\triangle XUN\), SSS
-
choose 1 answer: a angle b line c line segment d point e ray f none of …
C. Line segment
-
which term describes this figure? choose 1 answer: a angle b line c lin…
C. Line segment
-
4. what is the solution to the equation $-0.2(x - 20) = 44 - x$? $\text…
C. \(x = 50\)
-
statements reasons 1. ∠abc is a right angle 1 given 2 ∠dbc is a straigh…
two - column proof
-
find the vertices of the hyperbola. enter the smallest x coordinate fir…
\((- 3,0)\) and \((3,0)\)
-
look at the diagram. which equation can be used to solve for x? solve f…
\( x=\frac{55}{9}\approx6.11 \)
-
what is q? center radius diameter
center
-
what is l? l k diameter radius center
center
-
would you use sss or sas to prove the triangles congruent? if there is …
A. \( \triangle QVZ\cong\triangle XVY\), SSS
-
the square below is dilated by a scale factor of 5. find the perimeter …
Perimeter of given square: \(36\) units; Area of given square: \(81\) units²; Perimeter of dilated square: \(180\) units; Area of dilated square: \(2025\) units².
-
write the coordinates of the vertices after a reflection over the y - a…
\(A'(10,-9)\), \(B'(0,-9)\), \(C'(0,-1)\), \(D'(10,-1)\)
-
read the sentences below, filling in the blanks with items from this li…
1. central point 2. radius 3. circumference 4. radius 5. radians 6. central angle 7. sector 8. circumference 9. radius
-
ratios, proportions, and measurement identifying congruent shapes on a …
First pair: No, Second pair: No, Third pair: Yes, Fourth pair: No
-
solve for the value of d. answer attempt 2 out of 2 d =
\(d = 12\)
-
find the value of $x$, $y$, and $z$ in the parallelogram below. answer …
\(x = 27.5\), \(y = 39\), \(z = 24.5\)
-
write the coordinates of the vertices after a reflection over the y - a…
\(P'(10,3)\), \(Q'(3,3)\), \(R'(10,9)\)
-
how many lines of symmetry does this shape have?
1
-
the diagram shows a triangle. what is the value of b? b = submit work i…
\(20\)
-
find the area. simplify your answer. 3x 2x
\(6x^{2}\)
-
what values of v and w make \\( \\triangle xyz \\cong \\triangle efd \\…
\(v = 16\), \(w = 1\)
-
graph the solution to the following inequality on the number line. $x^{…
The solution of the inequality \(x^{2}+2x\leq8\) is \(-4\leq x\leq2\). On the number - line, we plot a closed circle at \(x=-4\) and \(x = 2\) (because the inequality includes equ…
-
graph the solution to the following inequality on the number line. $(x …
We place open circles at \(x=-4\) and \(x = 2\) on the number line and shade the region between \(-4\) and \(2\).
-
write the coordinates of the vertices after a reflection over the x - a…
\(R'(-4,9)\), \(S'(5,9)\), \(T'(5,0)\), \(U'(-4,0)\)
-
would you use sss or sas to prove the triangles congruent? if there is …
A. \(\triangle PRW\cong\triangle VUS\), SSS
-
find the center of this hyperbola. -9x² + 4y² - 36x - 16y - 164 = 0 cen…
\((-2,2)\)
-
find the radius of the circle. x² + y² = 9 radius = ?
\(3\)
-
look at this diagram: if \\(overleftrightarrow{fh}\\) and \\(overleftri…
\(59\)
-
find the center and foci of the ellipse. 25x² + 4y² - 150x - 64y + 381 …
Center \(=(3,8)\) Foci \(=(3,8\pm\sqrt{21})\)
-
if the ( mangle srw = 85^{circ} ), what are the measures of ( angle vru…
\(m\angle VRU = 90^{\circ}\)
-
given: ( mangle qvr = 49^{circ} ) prove: ( x = 15 ) complete the steps …
4. vertical angles theorem; 6. \(3x + 4 = 49\)
-
given: ( mangle elg = 124^circ ) prove: ( x = 28 ) complete the steps i…
The steps in the two - column proof are completed as follows: | Statements | Reasons | |---|---| |1. \(m\angle ELG = 124\)|1. given| |2. \(m\angle ELD=2x\)|2. given| |3. \(\angle …
-
which is a pair of vertical angles? ∠vru and ∠srt ∠trs and ∠vrw ∠trv an…
$\angle TRV$ and $\angle WRU$
-
question solve for x. round to the nearest tenth of a degree, if necess…
\(33.4\)
-
which angles form a linear pair? ∠prl and ∠lrm ∠orp and ∠mrn ∠mrn and ∠…
\(\angle LRP\) and \(\angle ORP\)
-
which description of a figure and its image match the transformation de…
D. The figure and its image are neither similar nor congruent, and the image has been stretched vertically.
-
read the excerpt from grendel. then they would fight. spears flying, sw…
He feels disgusted by the wasteful nature of war.
-
4. consider this right triangle. determine whether each equation is cor…
| Equation | Yes | No | |---|---|---| | \(\sin(C)=\frac{5}{12}\) | | ✔️ | | \(\tan(C)=\frac{12}{5}\) | ✔️ | | | \(\cos(B)=\frac{12}{13}\) | ✔️ | | | \(\tan(B)=\frac{5}{12}\) | ✔️ …
-
solve for x. figures are not necessarily drawn to scale.
\(2.4\)
-
find the distance between the two points in simplest radical form.
\(4\sqrt{13}\)
-
what is the capacity for the container below? (give answers in metric t…
\(6.0\space L\)
-
based on the given diagram, complete the sentence below. answer point d…
Point \(D\) is the in - center of \(\triangle ABC\) because \(\overline{DE}\), \(\overline{DF}\), and \(\overline{DG}\) are all perpendicular distances from \(D\) to the sides of …
-
solve for $x$. round to the nearest tenth of a degree, if necessary. an…
$39.3$
-
use the pythagorean theorem to find z. leave your answer as a simplifie…
$z = \sqrt{115} \approx 10.72$
-
given the circle below with chords \\( \\overline { u v } \\) and \\( \…
\(39.3\)
-
given the circle below with chords ( overline{jk} ) and ( overline{lm} …
\(19.2\)
-
which rule explains why these triangles are similar? sss sas aa none of…
C. AA
-
state if the triangles in each pair are similar. if so, state how you k…
C. similar; AA similarity; \(\triangle CDE\)
-
x is the midpoint of \\( \\overline{vw} \\) and \\( \\overline{uv} \\co…
| Statement | Reason | |---|---| | 1. \(X\) is the midpoint of \(\overline{VW}\) | Given | | 2. \(\overline{UV}\cong\overline{UW}\) | Given | | 3. \(\overline{VX}\cong\overline{WX…
-
given: \\( \\angle abc \\) and \\( \\angle fgh \\) are right angles; \\…
AAS congruence theorem.
-
name the highlighted arc.
\(\overset{\frown}{ZE}\)
-
solve for x. figures are not necessarily drawn to scale. answer attempt…
\(25\)
-
reflect the given triangle over the y - axis. $\\begin{bmatrix} 3&6&3\\…
The value in the green box (corresponding to the second \(x\) - value after reflection) is \(-6\), the value below the green box (corresponding to the second \(y\) - value, which …
-
dilating a figure with the center of dilation at a point △rst is dilate…
The coordinates of \(R'\) are \((\frac{10}{3},-\frac{4}{3})\)
-
find the value of x, y, and z, in the rhombus below. answer attempt 1 o…
\(x = 45\), \(y = 7\), \(z = 7\)
-
graph the solution to the following inequality on the number line. $(x …
The solution of the inequality \((x - 1)(x + 7)\geq0\) is \(x\leq-7\) or \(x\geq1\). On the number - line, we put a closed circle at \(x=-7\) and \(x = 1\), and shade the regions …
-
select whether the statement below is the converse, inverse, or contrap…
B. inverse
-
look at this diagram: if \\( \\overleftrightarrow { b d } \\) and \\( \…
$49^{\circ}$
-
classify the triangle by its sides and by measuring its angles. the tri…
By its angles: acute triangle. By its sides: isosceles triangle.
-
word list read the words out loud. then circle the words that begin wit…
2. map 3. pot 4. fin 5. fox 6. tan
-
find the length of side c. round to the nearest tenth.
\(14.7\)
-
find the measure of angle a. round to the nearest tenth.
\(23\)
-
find the missing side. round to the nearest tenth. remember: sohcahtoa
$32.0$
-
triangle abc was dilated using the rule ( d_{y,\frac{5}{4}} ). if ( ca …
10 units
-
find a. write your answer in simplest radical form. feet
\(9\)
-
find the exact value without a calculator. double - angle formulas: $\\…
\(\frac{\sqrt{2+\sqrt{2}}}{2}\)
-
proving triangles congruent given: c is the midpoint of \\( \\overline{…
For Reason 2: Definition of midpoint; For Statement 5: \(\angle BCA\cong\angle DCA\)
-
2. a triangle abc, angle a is 35° and angle b is 20°. select all triang…
A. Triangle \(DEF\) where angle \(D\) is \(35^{\circ}\) and angle \(E\) is \(20^{\circ}\); D. Triangle \(MNO\) where angle \(N\) is \(20^{\circ}\) and angle \(O\) is \(125^{\circ}…
-
which of the following transformations carry this regular polygon onto …
rotation of \(60^{\circ}\) counterclockwise, reflection across \(l\)
-
use graph paper to plot the triangle, then answer the questions. 8 the …
Slopes: \( \overline{AB}=-\frac{5}{3} \), \( \overline{BC}=-\frac{1}{4} \), \( \overline{AC}=\frac{3}{5} \) Lengths: \( \overline{AB}=\sqrt{34} \), \( \overline{BC}=2\sqrt{17} \),…
-
graph the quadrilateral on graph paper, then answer the questions. the …
- \(PQ =-\frac{2}{7}\), \(QR=\frac{7}{2}\), \(RS =-\frac{2}{7}\), \(PS=\frac{7}{2}\) - Quadrilateral \(PQRS\) is a rectangle.
-
rectangle efgh 5 in 24° eq = in hf = in m∠feh = m∠1 =
\(EQ = 5\) in, \(HF = 10\) in, \(m\angle FEH=90^{\circ}\), \(m\angle1 = 66^{\circ}\)
-
in the rectangular prism, each small cube has edges that are \\( \\frac…
3 inches
-
in ancient greece, euclid contributed to a better understanding of biol…
mathematics.