几何
三角形、圆、解析几何与证明题。
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) one angle of a parallelogram measures 95°. what are the measures of t…
$85^\circ$, $95^\circ$, and $85^\circ$
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question 4 the diagram shows a section of the zoo where two paths meet …
130 m
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one angle of a parallelogram measures 100°. what are the measures of th…
$80^\circ$, $100^\circ$, and $80^\circ$
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if $vx = a + 14$ and $vz = 15a$, find the value of $a$ that makes quadr…
$a = 1$
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11. find ( mangle gjk ).
$56^\circ$
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quadrilateral abcd is a parallelogram. de = 6.1 cm and m∠dab = 120°. wh…
10 ### What is \( m\angle BCD \)?
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can you show that this quadrilateral is a parallelogram? yes no
no
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10. if de = 4x + 1, eb = 12x - 31, and cd = 28, find ad.
$2\sqrt{93}$ (or approximately 19.29)
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find the value of y that makes quadrilateral efgh a parallelogram. 8y, …
$5$
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1) find the value of p that makes quadrilateral vwxy a parallelogram. y…
$13.2$
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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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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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figure abcd is a parallelogram. what are the measures of angles b and c…
\(\angle B = 65^\circ\); \(\angle C = 115^\circ\) (the second option: \(\boldsymbol{\angle B = 65^\circ; \angle C = 115^\circ}\))
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if ( cg = 7t - 57 ) and ( eg = 9t - 77 ), find ( eg ) in rectangle ( cd…
13
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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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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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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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yolanda is making a banner for a school pep rally. she cuts fabric in t…
100 (corresponding to the option with 100, e.g., if the options are 40, 50, 100, 160, then the answer is the option with 100, like "100 (the option with 100 as its value)")
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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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figure cdef is a parallelogram. which equations are correct? select thr…
n = 10, FE = 42, CF = 59 (the options corresponding to these are the correct ones: n = 10, FE = 42, CF = 59)
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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…
$180^\circ$
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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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19) 20) 21) 22) 23) 24)
\(a = 4\), \(b = 2\sqrt{3}\) ### Problem 20:
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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.