幾何
三角形、円、座標幾何、証明問題。
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if $uy = 6a - 57$ and $wy = 3a - 18$, find $wy$ in rectangle $uvwx$. $w…
$11$
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9. if lo = 15x + 19 and qn = 10x + 2, find pn. d ad. 12. find m∠ade
64
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if rs = 6x and ru = 8x - 18, find ru in parallelogram stuv. ru =
54
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9. if lo = 15x + 19 and qn = 10x + 2, find pn. d = 28, find ad. 12. fin…
\(64\)
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find ( mangle t ) in rhombus ( stuv ). ( mangle t = square^circ )
$\frac{1316}{15}$ or approximately $87.73$
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if $fi = 9t - 76$ and $hi = 4t - 11$, find $hi$ in parallelogram $efgh$…
$41$
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figure lmno is a parallelogram. what is the value of x? 8 10 13 30
10 (corresponding to the option "10")
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find ( mangle x ) in rhombus ( vwxy ). ( mangle x = square^circ )
$118$
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if ( cg = 7t - 57 ) and ( eg = 9t - 77 ), find ( eg ) in rectangle ( cd…
13
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for each pair of figures below, choose how they are related. options fo…
1. Rotation 2. Reflection 3. Rotation 4. Translation
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if $qt = 2a - 93$ and $st = a - 25$, find the value of $a$ in rhombus $…
$68$
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try again your answer is incorrect. for each pair of figures below, cho…
1. Rotation 2. Reflection 3. Rotation 4. None of these
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8. if ae = 6x - 55 and ec = 3x - 16, find db.
46
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if $fj = p$ and $hj = 2p - 38$, find the value of $p$ in rhombus $fghi$.
$38$
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ure abcd is a parallelogram. what are the measures of angles b and d? (…
\(\boldsymbol{\angle B = 55^\circ; \angle D = 55^\circ}\) (the first option: \(\boldsymbol{\angle B = 55^\circ; \angle D = 55^\circ}\))
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if ( gi = 3a - 59 ) and ( gk = 2a - 31 ), find the value of ( a ) in pa…
$28$
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question 3 which statement is true about this right triangle? options: …
$y^2 + z^2 = x^2$
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for each pair of figures below, choose how they are related.translation…
1. Rotation 2. Reflection 3. Rotation 4. None of these
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4) find the value of w in rectangle hijk. w =
$4$
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for each pair of figures below, choose how they are related. options fo…
1. None of these 2. None of these 3. Reflection 4. Reflection
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find the value of c in parallelogram defg. g c+16 d f 4c-86 e c =
$34$
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if $gj = 3c - 45$ and $ij = 5c - 89$, find the value of $c$ in parallel…
$22$
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figure tuvs is a parallelogram. which angles equal 91°? (4x + 9)° (6x -…
angles T and V
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question 2 which statement best explains why the sum of the areas of th…
- The correct option: In each figure the total area is equal and the area of the 4 triangles is equal, so the remaining white area in each figure must also be equal.
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for each pair of figures below, choose how they are related.translation…
1. Reflection 2. Rotation 3. Translation 4. Reflection
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find the value of c in rhombus qrst. angle at s: 4c - 18° angle at q: 5…
$c = \frac{251}{9}$ or approximately $27.9^\circ$
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lourdes is making a frame in the shape of a parallelogram. she adds dia…
60 cm
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the diagram shows a convex polygon. what is the value of y? y = \\squar…
$52$
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for each graph, decide if the two lines are parallel, perpendicular, or…
Graph 1: Neither Graph 2: Perpendicular Graph 3: Parallel Graph 4: Perpendicular
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what is the sum of the interior angle measures of a convex quadrilatera…
$360^\circ$
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figure abcd is a parallelogram. what is the value of p? 6 7 8 9
6
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for each graph, decide if the two lines are parallel, perpendicular, or…
Graph 1: Perpendicular Graph 2: Neither Graph 3: Neither Graph 4: Parallel
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figure abcd is a parallelogram. what is the perimeter of abcd? 14 units…
44 units
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situation #6: parallelogram cats is rotated 90 degrees clockwise about …
Shade the following pairs (the intersection boxes of each pair): - $AC$ and $A'C'$ - $AC$ and $ST$ - $ST$ and $S'T'$ - $AT$ and $A'T'$ - $AT$ and $SC$ - $SC$ and $S'C'$ - $A'C'$ a…
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for each graph, decide if the two lines are parallel, perpendicular, or…
Graph 1: Parallel Graph 2: Perpendicular Graph 3: Neither Graph 4: Parallel
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what is the value of b?
$b = \frac{720}{11}$ or approximately $65.45^\circ$
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a. circle the word in each row that is spelled correctly. 1. byu buye b…
### Part A: Circle the correctly spelled word 1. Among "byu", "buye", "buy", "buy" is the correct spelling. 2. Among "nos", "nose", "noes", "nose" is the correct spelling. 3. Amon…
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what is the value of b?
$b=\frac{720}{11}$ or approximately $65.45^\circ$
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find the value of x.
$80$
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fluency: write the equation of the line in slope - intercept form.
For the top graph: $y = x + 1$ For the bottom graph: $y=-3x - 3$
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what is the measure of an exterior angle in a regular 16 - gon? write y…
$22.5^\circ$
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try again your answer is incorrect. find the value of x. x = 64
$x = 48$
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what is the value of a? (the figure is a heptagon with angles: 2a - 31°…
$70^\circ$
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find the value of x.
$64$
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figure abcd is a parallelogram. what is the value of n? a, b, c, d form…
17
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what is the sum of the interior angle measures of a convex octagon? °
$1080$
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the diagram shows a convex polygon. what is the value of p?
$p = 3$
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what is the value of ( b )? ( b = square^circ )
$54$
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the dimensions of a rectangular piece of paper are 20.8 cm and 30.6 cm.…
The length of the diagonal is approximately \( \boldsymbol{14.57} \) inches (or if we consider the exact value from the square root and conversion, we can also note that since \( …
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the diagram shows a regular polygon. what is the value of ( x )? write …
$90$
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the diagram shows a regular polygon. what is the value of x? write your…
$72^\circ$
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find the value of x.
$41$
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the diagram shows a regular polygon. what is the value of ( x )? write …
$90$
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find the value of x.
$35$
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the diagram shows a regular polygon. what is the value of x? write your…
$32.7$
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the diagram shows a regular polygon. what is the value of x? write your…
$60$
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the diagram shows a convex polygon. what is the sum of the interior ang…
$720$
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the diagram shows a convex polygon. what is the sum of the exterior ang…
$360$
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solve for x. round to the nearest tenth, if necessary.
\( 155.3 \)
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monitoring progress and modeling wit in exercises 3–6, show that the qu…
Let's solve problem 3 first: ### Problem 3: Vertices \( W(1, 4) \), \( X(1, 8) \), \( Y(-3, 9) \), \( Z(-3, 3) \) To show a quadrilateral is a trapezoid, we need to show that at l…
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ghlj and gstu are both parallelograms. why is \\(\\angle l \\cong \\ang…
\(\angle L\cong\angle T\) because in a parallelogram, opposite angles are congruent. For parallelogram \(GHLJ\), \(\angle L\) is equal to \(\angle G\) (since consecutive angles ar…
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given: abcd is a parallelogram. prove: ∠a and ∠d are supplementary. by …
First blank: same - side interior; Second blank: parallel; Third blank: supplementary
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in parallelogram hgjl, hk = c - 7, jk = 3c - 3, gk = c + 12. what is th…
20
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what is the measure of ∠a? □° what is the measure of ∠b? □° (3y + 27)° …
The measure of \(\angle A\) is \(72^\circ\). The measure of \(\angle B\) is \(108^\circ\).
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what is the value of r? what is the length of segment ef? units
The value of \( r \) is \( 9 \). The length of segment \( EF \) is \( 55 \) units.
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which concept is used to prove that the opposite sides of a parallelogr…
C. congruent triangles
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7. if sq = 11x - 26 and pr = 5x + 28, find pr.
$PR = 73$
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in exercises 3–6, show that the quadrilateral with the given vertices i…
Let's solve problem 3: \( W(1, 4) \), \( X(1, 8) \), \( Y(-3, 9) \), \( Z(-3, 3) \) ### Step 1: Recall the definition of a trapezoid and isosceles trapezoid A trapezoid is a quadr…
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what is the length of segment eb in par abcd? 30 units 34.5 units 69 un…
69 units (corresponding to the option "69 units")
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m∠jmk = ______ m∠hjl = ______ m∠jkh = ______ m∠lhk = ______ m∠hlk = ___…
\(m\angle JMK = 120^\circ\) \(m\angle HJL = 30^\circ\) \(m\angle JKH = 30^\circ\) \(m\angle LHK = 60^\circ\) \(m\angle HLK = 30^\circ\) \(m\angle JLK = 60^\circ\)
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use parallelogram abcd. what are the values of x and y? x = y = a b 4y …
\( x = 17 \) \( y = 10 \)
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what are the remaining angle measures if the figure is to be a parallel…
\(m\angle B = 101^\circ\), \(m\angle C = 79^\circ\), \(m\angle D = 101^\circ\)
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find the missing side lengths. leave your answers as radicals in simple…
\( y = \frac{3\sqrt{2}}{2} \), \( x = 3 \) ### Problem 16:
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graph ( x = -6 )
The graph of \( x = -6 \) is a vertical line passing through the point \( (-6, y) \) for all real numbers \( y \), specifically passing through \( (-6,0) \) on the coordinate grid…
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4. m∠bcd = ______ m∠ade = ______ m∠abd = ______ m∠aeb = ______ m∠cbe = …
\(m\angle BCD = 90^\circ\) \(m\angle ADE = 84^\circ\) \(m\angle ABD = 6^\circ\) \(m\angle AEB = 168^\circ\) \(m\angle CBE = 78^\circ\) \(m\angle DEA = 12^\circ\)
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graph $y = 5$.
To graph \( y = 5 \), draw a horizontal line parallel to the \( x \)-axis that passes through all points with a \( y \)-coordinate of 5 (e.g., \( (0, 5) \), \( (3, 5) \), \( (-2, …
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your own wesley designs a shark fin for a costume. he chooses the point…
A. (Graph: Plot each point on a coordinate plane: $K$ at (1,7), $L$ at (3,5), $M$ at (6,-3), $N$ at (-5,-2), $P$ at (-1,1)) B. (Connect the points in the given sequential order: $…
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1. you can classify polygons by the number of sides they have. a. graph…
## Part A: This polygon is a **quadrilateral** (since it has 4 sides) and an **isosceles trapezoid**. It is a trapezoid because it has one pair of parallel sides ($AD$ and $BC$ ar…
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determining unknowns 1. an isosceles triangle has base angles that meas…
$58 + 58 + x = 180$ (or $116 + x = 180$)
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64. abstract reasoning order the terms in a diagram so that each term b…
The order from broadest to most specific is: quadrilateral → parallelogram → rectangle, rhombus → square. ### 65. A square is ______ a rhombus.
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angle, find the missing measures. 2. *gh = 14 gf = ge = df = hf = dg =
$GF = 11$ $GE = 28$ $DF = 28$ $HF = 14$ $DG = \sqrt{317} \approx 17.80$
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find the distance between the points (5, 3) and (5, 8) (-2, 3) and (8, …
Distance between (5, 3) and (5, 8): 5 Distance between (-2, 3) and (-8, 3): 6 Distance between (-3, 8) and (-3, -3): 11 Distance between (4, -5) and (-3, -5): 7
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reflecting over the y-axis: reflecting over the y-axis rule: write down…
1. Ordered pair for A: $(3, 2)$ 2. New reflected point: $(-3, 2)$ (label this point on the graph at $x=-3, y=2$) 3. Observations: The two points have the same y-coordinate, and th…
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example 5 if ( mangle12 = 121^circ ) and ( mangle6 = 75^circ ), find ea…
a. $m\angle 1 = 59^\circ$ b. $m\angle 2 = 46^\circ$ c. $m\angle 3 = 59^\circ$ d. $m\angle 4 = 75^\circ$ e. $m\angle 5 = 46^\circ$ f. $m\angle 7 = 59^\circ$ g. $m\angle 8 = 46^\cir…
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in exercises 55–60, decide whether $\\square j k l m$ is a rectangle, a…
\(\parallelogram J K L M\) is a rectangle. Because \(JKLM\) is a parallelogram (opposite sides are equal and parallel), and adjacent sides are perpendicular (vertical and horizont…
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a right triangle with one angle 45 degrees, one leg length 36, and the …
$x \approx 49.2$
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in exercises 49–54, the diagonals of square lmnp intersect at k. given …
\( 90^\circ \) ### Problem 50: \( m\angle LMK \)
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you realize theres room in your design for another shape, so you choose…
$84^\circ$
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directions: if each quadrilateral below is a rectan 1. vw = wx = yw = z…
$VW = 31$ $WX = 19$ $YW = \sqrt{1322} \approx 36.36$ $ZX = \frac{\sqrt{1322}}{2} \approx 18.18$ $VX = \sqrt{1322} \approx 36.36$
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now, to make sure all of your videos attract an increase in viewership,…
Triangle
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jorges teacher asked him to make a poster for his research project. the…
Some possible lengths and widths are: length = 3 feet and width = 2 feet (or length = 6 feet and width = 1 foot, or length = 2 feet and width = 3 feet, or length = 1 foot and widt…
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move vertex d and observe how the measures change. make a conjecture. w…
- AE and CE are always equal. - AC and BD always bisect each other. - BE and DE are always equal.
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what is the length of side ab of parallelogram abcd? □ units the parall…
8
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what is the missing side length? (leg a)² + (leg b)² = (hypotenuse)² op…
$\sqrt{149}$
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problems 1–4: determine the area of each tilted square. each square gri…
To determine the area of each tilted square, we can use the **grid method** (counting full squares and using the Pythagorean theorem for partial squares) or the **Pythagorean theo…
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find the slope of the line graphed below.
$4$
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find the slope of the line graphed below.
$\frac{1}{2}$
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find the slope of the line passing through the points (-7, -7) and (-3,…
$\frac{13}{4}$
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8. if $\\triangle dgh\\sim\\triangle def$, find the value of $x$. 9. if…
25 ### Problem 9
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fill in the blanks below. (a) find the slope of the line passing throug…
(a) slope: $0$ (b) slope: undefined