幾何
三角形、圓、解析幾何與證明題。
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question 11 of 22 what polygon is shown below? a. hexagon b. rhombus c.…
B. Rhombus
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if a transversal crosses three non - parallel lines, how many pairs of …
6 pairs
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7. translate the rectangle rust r(2,1) u(6,1) s(6,4) t(2,4) (x,y)→(x - …
The new coordinates of the rectangle are R'(-1,-3), U'(3,-3), S'(3,0), T'(-1,0)
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if the bases of an isosceles trapezoid have lengths of 15 and 32, what …
A. 23.5 units
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which of these figures must be a rectangle? a. a trapezoid with two con…
B. A parallelogram with at least one right angle
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if a regular polygon has exterior angles that measure 36° each, how man…
B. 10
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if pqrs is a rhombus, which statements must be true? check all that app…
A. \(\overline{PS}\) is parallel to \(\overline{QR}\) B. \(\overline{PR}\) is perpendicular to \(\overline{QS}\) C. \(\angle PQR\) is supplementary to \(\angle QPS\)
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m∠uvk = 20, m∠uvw = 180, and m∠kvw = 5x. write an equation then find x.…
Equation: $20 + 5x=180$ $x = 32$
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8. if (mangle abc) is one degree less than three times (mangle abd) and…
$x = 12$, $m\angle PQT = 142^{\circ}$, $m\angle PQS = 71^{\circ}$, $m\angle TQR = 38^{\circ}$
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given the diagram below, what is m∠d? a. 108° b. 68° c. 74° d. 72°
D. $72^{\circ}$
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practice example 1 use the figure to identify angles and parts of angle…
1. The vertex of $\angle1$ is $A$. 2. The sides of $\angle4$ are $\overrightarrow{CA}$ and $\overrightarrow{CD}$. 3. Another name for $\angle3$ is $\angle ADE$ or $\angle EDA$.
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7. if m∠lmp is 11 degrees more than m∠wmp and m∠wml = 137°, find each m…
\(m\angle ABD = 24^{\circ}\)
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7. if m∠lmp is 11 degrees more than m∠nmp and m∠nml = 137°, find each m…
\(m\angle ABD = 24^{\circ}\)
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mary states, if the diagonals of a parallelogram are congruent, then th…
A. True
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a(3,-2) b(4, -5) c(6,-1) label your reflection △abc 6. rotate △bhs coun…
Reflection: A'(3,2), B'(4,5), C'(6,1) Rotation: B'(-1,-2), H'(-5,-4), S'(-2,-6)
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if jklm is a trapezoid, which statements must be true? check all that a…
E. \(JK\) is parallel to \(LM\) F. \(\angle J\) is supplementary to \(\angle K\)
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4. the perimeter of the triangle at right is 100 sq. cm. write an equat…
$x = 23.5$
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the solution on the number line bel 10 + x > 3
The solution of the inequality $10 + x>3$ is $x > - 7$. On the number - line, we represent it by an open circle at - 7 (since the inequality is strict, i.e., $x$ is greater than b…
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8. if m∠abc is one degree less than three times m∠abd and m∠dbc = 47°, …
$m\angle ABD = 24^{\circ}$
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a#13 - practice test #2 homework - sep 3 in questions 1 - 3, label each…
1. Rotation 2. Reflection 3. Translation
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triangle abc has coordinates a(2, 0), b(-1, 5), and c(4, 3). determine …
C. $A'(2, 2), B'(-1, 7), C'(4, 5)$
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triangle abc has coordinates a(2, 0), b(-1, 5), and c(4, 3). determine …
A. $A'(-2,0), B'(1,5), and C'(-4,3)$
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question 3 of 22 what is the sum of the measures of the interior angles…
C. $1980^{\circ}$
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the graph shows quadrilaterals hijk and hijk. which of the following tr…
translation right 10 units
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question 2 of 22 what is the value of x in the isosceles trapezoid belo…
C. 13
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triangle abc has coordinates a (2, 0), b(-1, 5), and c(4, 3). determine…
B. $A'(2,0), B'(-1,-5),$ and $C'(4,-3)$
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in the rectangle below, ac has a length of 28 units. what is the length…
C. 14 units
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the graph shows triangles bcd and bcd. which of the following transform…
reflection across the y-axis
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$-2 > -5 + x$
The solution of the inequality is $x < 3$. On a number - line, you would draw an open circle at 3 (since 3 is not included in the solution) and shade the line to the left of 3.
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9. given the following rug pattern, think about what the rug would look…
Perimeter: 96 units, Area: 576 square units
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triangle trs is rotated 90° counterclockwise about the origin to form t…
No answer can be provided as the image is not described in - text and no options are labeled with specific details to identify the correct graph for the 90 - degree counter - cloc…
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which of the following figures shows the reflection of triangle abc ove…
A.
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given the median (overline{qr}) and trapezoid (mnop), what is the value…
C. 8
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which of the following figures shows the reflection of triangle abc ove…
(Without seeing the actual correct - option among A, B, C, D, E based on the above - mentioned rules of reflection, we can't give a specific lettered answer. But the process to fi…
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10. if ∠cde is a straight angle, (overline{de}) bisects ∠gdh, (mangle g…
$m\angle FDE = 137^{\circ}$ $m\angle FDH = 63^{\circ}+137^{\circ}=200^{\circ}$ (non - reflex consideration needed, actual non - reflex part depends on context; here we assume the …
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3. m∠aij = 2x, m∠hia = 60, and m∠hij = 102. find x.
21
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given the median qr and trapezoid mnop, what is the value of x? n x + 8…
A. 6
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in this figure, abcd is a transformation of abcd. which type of transfo…
D. translation
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which of the following is true about the median of a trapezoid? a. the …
D. The length of the median is half the sum of the lengths of the bases.
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an isosceles trapezoid is a trapezoid with all sides congruent. a. true…
B. False
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in this figure, abcd is a transformation of abcd. which type of transfo…
D. translation
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if trap is an isosceles trapezoid, what is the value of x? a. 9 b. 25 c…
E. 19
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graph the solution on the number line below. -1 < \\frac{x}{-4}
On the number - line, draw an open - circle at 4 (because the inequality is $x < 4$, not $x\leqslant4$) and shade the line to the left of 4 to represent all the values of $x$ that…
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given the regular decagon at the right, answer questions 16 - 18. 16. l…
16. $36^{\circ},72^{\circ},108^{\circ},144^{\circ},180^{\circ},216^{\circ},252^{\circ},288^{\circ},324^{\circ},360^{\circ}$ 17. No se puede dibujar aquí, pero son las líneas que u…
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the points given below are the vertices of △vwx and its image after a r…
a. The x - coordinates of the vertices of $\triangle V'W'X'$ are the opposites of the x - coordinates of the vertices of $\triangle VWX$, while the y - coordinates remain the same…
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name that angle pair! determine whether the angles pairs are correspond…
Corresponding Angles: $\angle7$ and $\angle15$ Alternate Interior Angles: $\angle4$ and $\angle13$ Alternate Exterior Angles: $\angle5$ and $\angle10$ Consecutive Interior Angles:…
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defg is an isosceles trapezoid. find the measure of ∠g. a. 101° b. 59° …
C. $121^{\circ}$
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which sequence of transformations will map triangle a onto its congruen…
C. a reflection over the x - axis, then a translation 6 units to the left
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the graph shows pentagons tuvwx and tuvwx. which of the following trans…
translation right 2 units and down 4 units
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question 4 of 10 if abcd is an isosceles trapezoid, what is the value o…
D. 18
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question 3 of 10 james wants to tile his floor using tiles in the shape…
C. 14 inches
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which sequence of transformations will map triangle a onto its congruen…
C. a reflection over the x - axis, then a translation 4 units to the left
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the graph shows triangles efg and efg. which of the following transform…
translation right 16 units
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question 2 of 10 the diagonals of any trapezoid are congruent. a. true …
B. False
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question 1 of 10 some trapezoids are rectangles. a. true b. false
B. False
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if efgh is a parallelogram, then a. it cannot be a rhombus b. it must b…
C. it might be a rhombus
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7. translate rectangle abcd. a(1,-1) b(4,-1) c(4,-3) d(1,-3) (x,y)→(x -…
The new vertices of the translated rectangle are $A'(-1,4)$, $B'(2,4)$, $C'(2,2)$, $D'(-1,2)$.
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question 9 of 10 which of the following quadrilaterals have diagonals t…
A. Parallelogram B. Rhombus C. Square D. Rectangle
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the graph shows rhombuses bcde and bcde. which of the following transfo…
reflection across the y-axis
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use graph paper to graph the following transformation combos of the tri…
- Problema 6: Los nuevos puntos son $C(-3,4)$, $A(-5,3)$, $P(-4,1)$ - Problema 7: Los nuevos puntos son $C(4,-1)$, $A(6,0)$, $P(5,2)$ - Problema 8: Traslación de 8 unidades hacia …
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the graph shows pentagons abcdef and abcdef. which of the following tra…
translation right 12 units and down 6 units
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given: abcd is a parallelogram. diagonals ac, bd intersected at e. prov…
Statements: 1. \(ABCD\) is a parallelogram - Reason: Given 2. \(AB\parallel CD\) and \(AB = CD\) - Reason: Opposite sides of a parallelogram are parallel and equal 3. \(\angle BAE…
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noor draws △pqr in the coordinate plane as shown. then she reflects △pq…
If the original coordinates of Q are $(3,2)$, the correct coordinates of $Q'$ after reflection across the y - axis are $(-3,2)$. Doug might have thought it was reflection across t…
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figure jklmn is reflected across the x - axis to form figure jklmn. tel…
a. False b. True c. True d. False e. True f. False g. True
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rotate △bhs counterclockwise 90° about the origin. label your rotation …
$B'(-4,0),H'(1,3),S'(-5,6)$
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in a given quadrilateral, each side is parallel to its opposite side an…
A. Parallelogram B. Rectangle
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unit 1, lesson 2 - practice 10. students were given a set of data to gr…
They used different variable assignments for axes. Transformation: Reflect over y = x.
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when is a rhombus a square? a. when its angles are right angles b. when…
A. When its angles are right angles
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2 jabari draws figure ghj in the coordinate plane. he wants to reflect …
a. Draw a dashed horizontal line along the x - axis ($y = 0$). b. Use the rule $(x,y)\to(x, - y)$ to find the coordinates of the vertices of figure $WXYZ$ and then draw the figure…
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3. what are the angles of rotation for a 15 -gon? how many lines of sym…
Los ángulos de rotación son $24^{\circ},48^{\circ},72^{\circ},\cdots,336^{\circ}$. Tiene 15 líneas de simetría.
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practice performing a reflection in the coordinate plane study the exam…
Use the rule $(x,y)\to(-x,y)$ for each vertex of figure $GHIJ$ to find the coordinates of the vertices of figure $G'H'I'J'$.
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d graph the solution on the number line below. $x + 12>17$ mpt 1 out of…
In interval - notation: $(5,\infty)$ On the number - line: Draw an open circle at 5 and draw an arrow to the right.
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given that abcd is a rhombus, what is the value of x? a. 28 b. 56 c. 48…
# Explanation: ## Step1: Recall rhombus property In a rhombus, the diagonals bisect the angles of the rhombus. So, the two - given angles are equal, i.e., $x = 5x-18$. ## Step2: S…
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question express the interval using two different representations. -4≤x…
Interval Notation: $[-4,-1]$ Number Line: Mark solid circles at $-4$ and $-1$ and draw a line segment between them on the number - line.
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for questions 1 - 3, label each image as either a translation, a reflec…
$x = 11.75$
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6. if (mangle cdf=(3x + 14)^{circ}), (mangle fde=(5x - 2)^{circ}), and …
For problem 6: \(x = 15\), \(m\angle CDF = 59^{\circ}\), \(m\angle FDE = 73^{\circ}\), \(m\angle CDE = 132^{\circ}\) For problem 7: \(m\angle NMP = 63^{\circ}\), \(m\angle LMP = 7…
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5.5.3 quiz: rhombi and squares given that abcd is a rhombus, what is th…
# Explanation: ## Step1: Recall rhombus property In a rhombus, the diagonals bisect the angles of the rhombus. So, the angle \((5x - 18)^{\circ}\) and \(x^{\circ}\) are equal. \[5…
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0 - 6. (from a previous course) aiza creates two triangles. both have s…
The two triangles are different. SSA (two sides and a non - included angle) does not determine a unique triangle.
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question 5 of 10 if rstu is a rhombus, then a. it cannot be a square b.…
C. it might be a square
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question 4 of 10 given that abcd is a rhombus, what is the value of x? …
B. 20.75
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17. if np bisects ∠mnq, m∠mnq=(8x + 8)°, m∠pnq = 84°, and m∠rnm=(3y - 9…
$x = 9.5,y = 7$
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question 3 of 10 fill in the blank. the diagonals of a rhombus are ____…
B. perpendicular and bisect each other
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question 2 of 10 which of the following quadrilaterals have diagonals t…
B. Square, C. Rhombus
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17. if $overrightarrow{np}$ bisects $angle mnq$, $mangle mnq=(8x + 12)^…
$x = 18$, $y = 29$
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question 1 of 10 in which of the following quadrilaterals are consecuti…
B. Rectangle, D. Square
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the measure of angle abd is 40°. the measure of angle dbc is 35°. the m…
$75$
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question express the interval using two different representations. -6,9…
Inequality Notation: $-6\leq x\leq9$ Number Line: Mark a closed - circle at $x=-6$ and a closed - circle at $x = 9$, and shade the region between them on the number line.
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12. which point is located in quadrant number two? (a) (-4, -4) (b) (-3…
B. (-3, 6)
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the measure of angle jkl is 130°. the measure of angle mkl is 30°. the …
$100$
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for each pair of figures below, choose how they are related.
First pair: Rotation Second pair: Translation Third pair: Rotation Fourth pair: Rotation
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11. what is the location of a point 5 units above the origin(0, 0)? (a)…
d. (0, 5)
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write a two - column proof. given: ∠qwt and ∠twx are complementary. pro…
Division Property of Equality
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10. if point x is located at (-10, -2) and point y is located at (4, -2…
a. 10 units
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given: wy = xz prove: wx = yz statements reasons wy = xz given wy - xy …
Subtraction property of equality
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9. if point a is located at (6, -5), and point b is located at (6, 4), …
d. 9 units
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identify the segment bisector of $overline{rs}$. the length of $overlin…
The segment bisector of \(\overline{RS}\) is line \(k\). The length of \(\overline{RS}\) is \(34\).
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identify the segment bisector of $overline{rs}$. line $k$ $overline{rm}…
A. line \(k\)
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which is the correct reason for statement 1 in the proof? given substit…
A. Given
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using the pencil, plot the reflection of point a across the x - axis.
Plot the point with the same $x$ - coordinate as point $A$ and the $y$ - coordinate with the opposite sign of point $A$'s $y$ - coordinate. For example, if $A$ is at $(5,4)$, plot…
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the coordinates of the midpoint of $overline{gh}$ are $m(1,3)$ and the …
$(3,12)$