幾何
三角形、圓、解析幾何與證明題。
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question what is the area, in square inches, of the shape below?
If we assume the base $b = 4$ inches, the area is $7.6$ square inches. In a complete problem, we would need the actual base length value to give a definite answer.
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complete the congruence statement. △fed ≅ △blank submit work it out not…
$\triangle NMO$
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kai is building a triangular planting bed. two of the sides have length…
The possible lengths of the third side \(c\) satisfy the inequality \(3 < c<13\) (in feet).
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if bf = 3p - 8 and df = 7p - 48, find the value of p in parallelogram b…
$10$
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solve for x: name the relationship for each pair of angles below: ∠3 an…
\(x=-6\) For the angle - relationship part: - If two lines are intersected by a transversal: - \(\angle3\) and \(\angle5\) are same - side interior angles. They are on the same si…
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what is the image of the point (-7, -3) after a rotation of 180° counte…
$(7,3)$
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if uy = t and wy = 3t - 36, find the value of t in parallelogram uvwx.
$36$
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name date - tests for symmetry hw 2. ( xy=-4 ) x - axis y - axis origin…
origin
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what is the name of the national anthem? (1 point) land of the free hom…
D. Star Spangled Banner
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if qs = w - 26 and qu = 2w - 72, find the value of w in rectangle rstu.…
$46$
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find the value of x in parallelogram stuv.
3
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find the value of p in rhombus fghi. i 5p - 17° f 5p + 27° p =
$17$
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aas proof #2 given: ∠xwz ≅ ∠xyz, xz bisects ∠wxy prove: △xwz ≅ △xyz sta…
| Statements | Reasons | |--|--| | $\angle XWZ\cong\angle XYZ$ | Given | | $\overline{XZ}$ bisects $\angle WXY$ | Given | | $\angle WXZ\cong\angle YXZ$ | Definition of angle - bis…
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the diagram was constructed with straightedge and compass tools. points…
BC or BD. We know this because B is the mid - point of CD, and a mid - point divides a line segment into two congruent (equal - length) parts.
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find the value of x in parallelogram rstu.
$4$
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the two triangles are similar (dilated). find the scale factor and miss…
Scale factor: 3 ? = 12
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a. (12, 18) b. (8, 2) c. (20, 10) d. (6, 9) coordinates of starbucks. w…
D. (6,9)
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find the value of c in parallelogram stuv. c + 17 s u 2c t c =
$17$
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plot abc with vertices a(0,0), b(3, 5), and c(3,0). using the origin as…
a. The side - lengths of $\triangle ABC$ are $AB=\sqrt{34}$, $AC = 3$, $BC = 5$. b. The side - lengths of $\triangle A'B'C'$ are $A'B'=2\sqrt{34}$, $A'C'=6$, $B'C'=10$. The side -…
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the area of the triangle below is 29.25 square feet. what is the length…
9 feet
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4. find the value of a. show your work for full credit!!! type a respon…
\(a = 4\)
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thomas is planning a garden in his yard, and he wants to incorporate va…
B. 5
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a parallelogram has one angle that measures 105.3°. what are the measur…
74.7, 105.3, 74.7
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one angle of a parallelogram measures 43°. what are the measures of the…
43, 137, 137
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the measure of an angle is forty - four times the measure of its comple…
$88$ and $2$
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previous answer: ∠efg≅∠qfg what additional information is needed to pro…
# Explicación: ## Paso 1: Recordar el criterio SAS El criterio SAS (Lado - Ángulo - Lado) para la congruencia de triángulos requiere que dos lados y el ángulo comprendido entre el…
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aas proof #1 given: sr bisects ∠qst, ∠sqr = ∠str prove: △qsr = △tsr
| Statements | Reasons | |--|--| | $\overline{SR}$ bisects $\angle QST$ | Given | | $\angle QSR=\angle TSR$ | Definition of angle - bisector | | $\angle SQR = \angle STR$ | Given …
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a quadrilateral has two angles that measure 342.1° and 7.1°. the other …
$2.8^{\circ}$ and $8^{\circ}$
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the measure of an angle is forty - four times the measure of its comple…
$88$ and $2$
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a parallelogram has one angle that measures 33°. what are the measures …
33, 147, 147
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the area of the triangle below is 12.87 square inches. what is the leng…
$6.6$ inches
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3. find the value of x. show your work for full credit!!!
\(x = 24\)
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asa proof #2 given: $overline{ac}$ bisects $angle bad$, $overline{ac}$ …
The proof is completed as shown in the table above, demonstrating that $\triangle BAC\cong\triangle DAC$ by ASA.
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look at the triangle below and draw a dilation scale factor 2:1 and poi…
The new vertices of the dilated triangle are $A'=(2,10)$, $B'=(4,-2)$ and $C'=(-6,4)$. Plot these points and connect them to get the dilated triangle.
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decide if there is enough information to conclude that p lies on the pe…
No, you need to know the distance from the endpoints are the same for both sides of the triangle. Every point on the segment is equal distance from the endpoints.
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the area of the triangle below is 14.25 square feet. what is the length…
$5.7$ feet
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3.4: solving for sides degree mode!!! - \mode\ → highlight \degree\ ste…
1. $x\approx10.62$ 2. $x\approx17.18$ 3. $x\approx38.03$ 4. $x\approx58.48$
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what additional information is needed to prove congruence with sas crit…
# Explicación: ## Paso 1: Recordar el criterio SAS El criterio SAS (lado - ángulo - lado) requiere dos lados congruentes y el ángulo comprendido entre ellos congruente. ## Paso 2:…
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1. decide if there is enough information to conclude that p lies on the…
Yes, the distances from the endpoints are the same for both sides of the triangle. Every point on the segment is equal distance from the endpoints.
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find the scale and point of dilation that would map cap to cap scale:__…
Scale: $\frac{1}{2}$ Point of Dilation: $(-2,0)$
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previous answer ∠e≅∠t what additional information is needed to prove co…
We need $ET\cong EG$ and $FT\cong FG$
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plot an inequality by dragging the correct circle to the number line. s…
$x\geq12$ A closed circle is used on the graph. The arrow on the graph points right.
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5.1 quadrilaterals mallory cameron multiple - choice question what kind…
B. Right Trapezoid
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multiple - choice question what is the name of the shape that is pictur…
Trapezoid
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given: $overline{xw}congoverline{xy}$, $overline{xz}$ bisects $angle wx…
| Statements | Reasons | |--|--| | $\overline{XW}\cong\overline{XY}$ | Given | | $\angle WXZ\cong\angle YXZ$ | Definition of angle - bisector | | $\overline{XZ}\cong\overline{XZ}$…
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write a triangle congruence flowchart proof to prove that angle a is co…
1. First box (left - hand side of flowchart): $AB = CD$ 2. Second box (middle of flowchart): $AD = CB$ 3. Third box (right - hand side of flowchart): $BD = BD$ 4. Fourth box (belo…
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5.1 quadrilaterals mallory cameron multiple - choice question what is t…
Parallelogram
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what theorem shows that △ace≅△bcd? a hypotenuse - leg b angle - angle -…
D. Side - Angle - Side
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given: x is the midpoint of $overline{vz}$, x is the midpoint of $overl…
| Statements | Reasons | |--|--| | \(X\) is the mid - point of \(\overline{VZ}\) | Given | | \(VX = XZ\) | Definition of mid - point | | \(X\) is the mid - point of \(\overline{WY…
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for items 14 and 15, refer to the diagram. what is m∠mnt? m∠mnt = 120 °
120°
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opposite angles in a rhombus are...... equal different multiple - choic…
Equal
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5.1 quadrilaterals mallory cameron math antics - quadrilaterals 4 equal…
Rhombus
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△qrs contains the points: q(4, 2) r(5, 1) s(3,7). if the triangle is re…
$S'(-3,7)$
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is the picture being reflected in the y - axis or x - axis? x - axis y …
y - axis
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if the triangle abc is reflected across the y - axis to create a new im…
$(x,y)\to(-x,y)$
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longitud del segmento (10/1) use the number line to find the length. gd…
No se puede determinar completamente el valor de GD - HD y FA con la información proporcionada.
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quadrilateral wxyz is reflected across the x - axis. if (x,y) are the c…
C. $(x, - y)$
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when you reflect over the x axis, what stays the same? y stays the same…
B. x stays the same
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when you reflect over the y - axis, what stays the same? x stays the sa…
D. y stays the same
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what is the rule for a reflection over the x - axis? (x, y) --> (y, -x)…
$(x,y)\to(x, - y)$
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use the number line to find the length. gd - hd = fa = ef = be = ch + d…
GD - HD = 13 EF = 14 BE = 9 CH + DF = 14
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what is the rule for a reflection over the y - axis? (x, y) -> (y, -x) …
C. $(x,y)\to(-x,y)$
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for items 11 - 13, refer to the diagram. if $overline{ab}paralleloverli…
D. No; the triangles are not congruent
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reflect the point (2, -4) over the y - axis. (2, 4) (-2, -4) (-4, 2) (-…
B. (-2, -4)
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del segmento (10/1) use number line to find the length. be = ef = ch + …
$EF = 15$, $BE = 10$, $CH+DF = 7$
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use number line to find the length. ef= be= ch + df=
# Explicación: ## Paso 1: Encontrar la distancia EF La coordenada de E es 2 y la coordenada de F es 17. La distancia entre dos puntos en una recta numérica se calcula restando las…
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which theorem is not a valid theorem to show that two triangles are con…
B. SSA Triangle Congruence Theorem
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longitud del segmento (10/1) use the number line to find the length tr+…
# Explicación: ## Paso 1: Encontrar la longitud de QS La coordenada de Q es 36 y la de S es 40. Entonces, QS = 40 - 36. $QS=4$ ## Paso 2: Encontrar la longitud de RU - VP La coord…
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multiple choice 1 point which statement presents a justification of ame…
Leaders believed distant territories were important to long - term national security.
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for items 11 - 13, refer to the diagram. if $overline{bd}$ bisects $ove…
A. Yes; the triangles are congruent by Side - Angle - Side (even though it's not exactly as stated in the options, the triangles are congruent and the closest correct reasoning is…
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3. what do you notice and wonder about the methods used below to determ…
For problem 3, the area is 20 square units. For problem 4, the area is 81 square units.
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chapter 2 continued name hugo cruz date chapter test a for use after ch…
11. Complement: 79°, Supplement: 169° 12. Complement: 90 - 57=33°, Supplement: 180 - 57 = 123° 13. $m\angle1 = 50$, $m\angle2 = 50$, $m\angle3=130$ 14. $m\angle1 = 65$, $m\angle2 …
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hank draws a line with a zero slope through the point (-2, 4). graph ha…
Draw a horizontal line passing through the point $(-2,4)$ (i.e., a line where $y = 4$ for all $x$ - values on the coordinate plane).
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write the coordinates after reflection of x - axis. a(-5,-2) b(-1,-4) c…
(a) $A'(-5,2)$ (b) $B'(-1,4)$ (c) $C'(-4,7)$
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write the coordinates after reflection of x - axis. a(-5,-2) b(-1,-4) c…
(a) $A'(-5,2)$ (b) $B'(-1,4)$ (c) $C'(-4,7)$
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use what youve learned 1. find the perimeter of the following image. 2.…
1. \(24\sqrt{6}\mathrm{ft}\) 2. \(16x^{2}\sqrt{3x}\) 3. \(8x\sqrt[3]{2x}\)
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select all the true statements about the figure. a △fgk≅△fjk b. ∠gkh≅∠j…
A. \(\triangle FGK\cong\triangle FJK\) B. \(\angle GKH\cong\angle JKH\) D. \(\angle GFH\cong\angle JFH\) E. \(\triangle GKH\cong\triangle JKH\)
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15) reflect the figure across the x - axis. what are the coordinates af…
A'(4,4), B'(6,4), C'(7,7), D'(5,7)
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find the length determine the length of the line segment(s) from each d…
1. 13 units (assuming width \(w = 3\)) 2. 49 units (assuming width \(w = 3\)) 3. 13 units (assuming width \(w = 3\)) 4. 7 units (assuming width \(w = 24\))
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in the figure shown, what additional information is needed to show that…
B. \(\overline{AB}\cong\overline{DE}\)
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m is the mid - point of the segment. find the segment lengths. 1. find …
\(AM = 14\), \(MC = 14\) 2.
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this is a multi - part item. what is the slope of side ln? polygon move…
0
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13) triangle pqr has coordinates p(-1, 5), q(1, 2), and r(-3, -1). dete…
P'(1, - 5), Q'(-1,-2), R'(3,1)
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20. given: $overline{wz}perpoverline{vy}$, $overline{wz}$ bisects $over…
28
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perimeter what is the perimeter of the following squares? 1. 121 units²…
1. 44 units 2. $12\sqrt{5}$ units 3. $24\sqrt{2}$ units 4. $4\sqrt{19}$ units
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18. qrst is a rectangle. if rt = 5x - 5 and sq = x + 11, find the value…
4
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13) triangle pqr has coordinates p(-1, 5), q(1, 2), and r(-3, -1). dete…
P'(1,5), Q'(-1,2), R'(3,-1)
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what additional piece of information is needed to prove △jkl≅△nom? whic…
C. $\overline{JL}\cong\overline{NM}$, D. $\overline{JK}\cong\overline{NO}$
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use the coordinate grid to graph isosceles triangle lmn with vertices l…
The triangle LMN is graphed on the coordinate grid with vertices L(0,1), M(3,5), and N(6,1).
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for items 3 - 4, use △jkl and △lmn shown. what is m∠kjl?
$54$
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15. find the value of x for which line a is parallel to line b.
28°
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14. if bc = 5 and cd = 26, find ac. √31 130 31 √130
$\sqrt{130}$
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13. xz = n, wz = 2n - 5, and the perimeter of △xwz is 20. what is the v…
6
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12 find the value of x. 10 16 14 9
9
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what two things can you change to make a square into different quadrila…
Change the sides and angles
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for items 3 - 4, use △jkl and △lmn shown. what is m∠lnm?
$36^{\circ}$
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engineers measure angles in gradients, which are smaller than degrees. …
$1.11$
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11. which triangles are congruent by asa? △abe≅△cda △adc≅△ebc △adc≅△eda…
\(\triangle ADC\cong\triangle EBC\)
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10. in △ace, g is the centroid and be = 12. find bg and ge. bg = 4, ge …
BG = 8, GE = 4
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9. in the diagram, △abc≅△edc. which statement is not necessarily true? …
$\overline{BC}\cong\overline{CE}$