幾何
三角形、円、座標幾何、証明問題。
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graph the image of rectangle stuv after a reflection over the x - axis.
Las coordenadas de la imagen reflejada son: $S'(-8, 10)$, $T'(-3, 10)$, $U'(-3, 5)$, $V'(-8, 5)$ (Al graficar, se obtiene un rectángulo simétrico al original respecto al eje x, en…
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given ( fb ) is the diameter of circle and ( fb perp ac ), determine bo…
Arc AB = \(44^\circ\) DC = \(17\)
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what is the perimeter of parallelogram abcd, and what is ac? perimeter …
perimeter = 68 AC = 30
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line a y - intercept slope equation line b y - intercept slope equation…
## LINE A y-intercept: $\boldsymbol{-6}$ Slope: $\boldsymbol{-\frac{3}{2}}$ Equation: $\boldsymbol{y=-\frac{3}{2}x -6}$ ## Line B y-intercept: $\boldsymbol{4}$ Slope: $\boldsymbol…
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10 solve the system of equations that are graphed below. no solution in…
\((1,1)\)
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given fb is the diameter of circle and fb ⊥ ac, determine both m\\(\\ov…
$m\widehat{AB}=44^\circ$ $\overline{DC}=17$
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note: angles not necessarily drawn to scale. x = \\square ^\\circ
70
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describe a method to test whether a parallelogram is a rectangle, if yo…
1. diagonals of the parallelogram are congruent 2. (second confirmation: measure and compare the two diagonals to verify they are equal in length) (Note: The two dropdowns corresp…
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three angles of a parallelogram have the following measures: $46^{circ}…
$134$
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determine whether the statement is true or false. explain why. statemen…
The Statement above is **false** because if the diagonals of a quadrilateral are perpendicular, it may also be a **kite**
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question which of the following is not a property of rectangles? answer…
C. Diagonals are congruent, D. One pair of sides not congruent Wait, correction: The non-property options are: C. Diagonals are congruent is a property, so the incorrect ones are:…
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in the figures below, circle p is congruent to circle t and \\(\\overar…
42
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kamal wants to find the area of the polygon shown. he knows how to find…
1. Kamal can add the area of the rectangle and the area of the triangle shown. 2. Area of rectangle = 12 square units 3. Total area of the polygon = 18 square units
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in circle p, \\(\\overline{pq} \\cong \\overline{pr}\\), \\(\\overline{…
A. $\text{DR}=51.5$, B. $x=5$
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what is the area? 16.7 mi 13.5 mi square miles
225.45 square miles
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$\\overline{oc}$ and $\\overline{ox}$ are perpendicular to chords $\\ov…
15 millimeters
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graph the given system of linear equations. x = -3 y = \\frac{1}{4}x + …
To graph \( x=-3 \), use the vertical line (e.g., Line AB) passing through \( x=-3 \). To graph \( y = \frac{1}{4}x+2 \), use the line (e.g., Line CD) with y - intercept at \((0,2…
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in the diagram, \\overleftrightarrow{ac} and \\overleftrightarrow{bf} a…
$AB = EF$
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what is the missing length? area = 66 km² z = kilometers 6 km submit
11 kilometers
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triangles separating overlapping triangles and identifying common featu…
(a) Left triangle (ΔHIL): - Left label: $I$ - Bottom label: $L$ - Top label: $H$ Right triangle (ΔJIK): - Left label: $J$ - Top label: $K$ - Bottom label: $I$ (b) The triangles ha…
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what is the missing length? area = 48 in² s = \boxed{} inches submit
6 inches
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11. circle the name of the student who correctly wrote the equation mod…
Circle: GENE Solution: \(x = - 10\) ### Question 12
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for the figure below, give the following. (a) one pair of angles that f…
(a) Linear pair: $\angle1$ and $\angle2$ (b) Vertical angles: $\angle1$ and $\angle3$ (c) Supplementary angles: $\angle2$ and $\angle4$ *Note: Other valid pairs exist (e.g., (a) $…
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determine the triangle congruence theorem and right triangle congruence…
Triangle Congruence Theorem: SAS (Side-Angle-Side) Right Triangle Congruence Theorem: Leg-Leg (LL, a special case of SAS for right triangles, equivalent to SAS)
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what is the area? 10 ft 14.3 ft square feet submit
143 square feet
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determine the triangle congruence theorem and right triangle congruence…
Triangle Congruence Theorem: SAS Right Triangle Congruence Theorem: HL
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first graph the equations, and then mark the point of intersection. $y …
The point of intersection is $(-6, 4)$.
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what is the area? 14 km 14 km square kilometers submit
196 square kilometers
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what is the missing length? area = 270 ft² 18 ft a = \\boxed{} feet
15 feet
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solve the inequality and graph the solution. p > 3.2 to draw a ray, plo…
The simplified inequality is $p > 6$. To graph it: 1. Plot an open circle at $p=6$ on the number line. 2. Draw a ray starting at this open circle and extending to the right (towar…
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question 13 (1 point) match the equation with its graph. $7x + 5y = 35$…
d
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what is the missing length? area = 77 cm² w = \\boxed{} centimeters
11 centimeters
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what is the missing length? area = 15 in² u = \boxed{} inches
3 inches
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franklin is drawing a rectangle. the length will be 5 inches, and the a…
Correct inequality: $5x \geq 20$ The rectangle will be at least 4 inches wide.
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what is the missing length? area = 63 cm² 7 cm u = centimeters
9 centimeters
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hector is building a metal sculpture in the shape of an equilateral tri…
The correct inequality is $\frac{x}{3} \leq 9$ The perimeter of the triangular sculpture can be at most 27 feet.
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write an equation you could use to find the length of the missing side …
Equation: $8^2 + b^2 = 10^2$, Missing length: $6$ ft ### Problem 2
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skill: inflections -s, -es directions: circle the spelling words you fi…
To solve this word search for the given spelling words with inflections \(-s\), \(-es\), we systematically check each word: ### Step 1: Identify "hens" Look for the letters \(h\),…
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the area of this rhombus is 0.625 square feet. one of its diagonals is …
2.5 feet
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a rectangle with area 5000 square cm is 2 times as long as it is wide. …
C. 223.6 cm
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the area of this rhombus is 0.02 square yards. one of its diagonals is …
0.4 yards
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in rectangle pqrs, the diagonals intersect each other at point t. if pr…
19.8 square units
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part a in rhombus (abcd), diagonals (overline{bd}) and (overline{ac}) i…
Part A: D. $\sqrt{(2n + 5)^2 + (4n - 3)^2}$ Part B: $2$
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skill: inflections -s, -es word search directions: circle the spelling …
To solve the word search, we look for each given word in the grid by checking rows, columns, and diagonals (horizontally, vertically, or diagonally, though mostly horizontal/verti…
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a 6 cm b p d c o area of triangle =?
18 square centimeters
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the area of this rhombus is 50 square feet. one of its diagonals is 20 …
5 feet
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the area of this rhombus is 140 square millimeters. one of its diagonal…
8 millimeters
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the area of this rhombus is 1.35 square centimeters. one of its diagona…
0.9 centimeters
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the area of this rhombus is 45 square kilometers. one of its diagonals …
10 kilometers
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there is a right triangle in the figure, with a right angle, one angle …
$A = 43^\circ$, $a \approx 12.5$, $b \approx 11.6$
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in the figure above, ( rt = tu ). what is the value of ( x )? a) 72 b) …
C) 64
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the area of this rhombus is 3 square inches. one of its diagonals is 3 …
2 inches
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writing equations using trigonometric ratios which equations could be u…
The correct equations are \( \sin(45^\circ) = \frac{BC}{9} \), \( (AC)\sin(45^\circ) = BC \)
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to show that $\\triangle fgh \\cong \\triangle jkl$ by sas, what additi…
$\overline{FH} \cong \overline{JL}$ and $\overline{FG} \cong \overline{JK}$ $\overline{FH} \cong \overline{JL}$ and $\overline{HG} \cong \overline{LK}$
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the diagonals of this rhombus are 6 feet and 5 feet. what is the area o…
15 square feet
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which pair of triangles can be proven congruent by sas?
The third pair of triangles (the bottom pair with two pairs of marked sides and the included marked angle) is the one that can be proven congruent by SAS.
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graph the given line. give the domain and range. 2x + 4 = 0 use the gra…
- **Graph**: A vertical line passing through \(x=-2\) (all points with \(x = - 2\) and any real \(y\)). - **Domain**: \(\{x|x=-2\}\) (or \([-2,-2]\)) - **Range**: \(\{y|y\in\mathb…
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2 using the diagram in conjunction with postulates and theorems, determ…
- \(m\angle1 = 55^\circ\), \(m\angle3 = 55^\circ\), \(m\angle4 = 125^\circ\) - \(m\angle5 = 125^\circ\), \(m\angle6 = 55^\circ\), \(m\angle8 = 55^\circ\) - \(m\angle13 = 55^\circ\…
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can be the line x = 7. give the domain and range. a. use the graphing t…
B. The domain is a value or list of distinct values, \(7\)
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find the measures of the numbered angles in rhombus defg.
$\angle 1 = 90^\circ$, $\angle 2 = 61^\circ$, $\angle 3 = 61^\circ$, $\angle 4 = 29^\circ$
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the area of the trapezoid is 1.32 square kilometers. 0.6 km 1.5 km 1.6 …
$1.2$ kilometers
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what is the area of the trapezoid? 33 mi. 20 mi. 29 mi. 12 mi. square m…
450 square miles
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a toy company needs to package balls with a 2 - inch radius in sets of …
the cylinder because it has about 27.5 in.$^3$ less wasted space than the prism
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what is the area of the trapezoid? 6 yd. 20 yd. 21 yd. 9 yd. square yar…
150 square yards
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the area of the trapezoid is 160 square centimeters. 14 cm 10 cm 10 cm …
8 centimeters
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the area of the trapezoid is 33 square miles. what is the trapezoids he…
$h = 6$ miles
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a frustum is formed when a plane that is parallel to a cone’s base cuts…
$44\pi$ units$^3$
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the area of the trapezoid is 48 square miles. what is the trapezoids he…
$h = 6$ miles
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select all the trapezoids.
All four figures are trapezoids: 1. Top-left green quadrilateral 2. Top-right blue quadrilateral 3. Bottom-left orange parallelogram 4. Bottom-right orange quadrilateral
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the area of the trapezoid is 42 square kilometers. what is the trapezoi…
$h = 7$ kilometers
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what is the area of this figure? square meters submit
95 square meters
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instructions: for each diagram, use the given information to mark any c…
1. Theorem: SAS (Side-Angle-Side) 2. Theorem: ASA (Angle-Side-Angle) 3. Theorem: SAS (Side-Angle-Side) 4. Theorem: HL (Hypotenuse-Leg) 5. Theorem: ASA (Angle-Side-Angle) 6. Theore…
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which statements about the composite figure are true? check all that ap…
- The composite figure consists of two rectangular pyramids. - The total volume is 45 units$^3$.
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name the marked angle in 2 different ways.
$\angle M$ $\angle LMJ$
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name the figure below in two different ways. symbol: cg angl cp
1. $\overrightarrow{CP}$ 2. $\overrightarrow{CG}$
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using the same graph from the question before (shown below), transform …
$A'': (-6, -6)$ $B'': (-6, -3)$ $C'': (-3, -3)$
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7. a, 65 cm; c, 95 cm 8. a, 16 yd; b, 22 yd determine whether each tria…
\( b \approx 69.28 \, \text{cm} \) ### Problem 8: \( a = 16 \, \text{yd}, b = 22 \, \text{yd} \) (Find \( c \))
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what is the area of the trapezoid? 1.3 mm 1.3 mm 0.5 mm 2.5 mm square m…
0.95 square millimeters
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practice & problem solving practice 16. trace abcd and point p. draw th…
The dilated figure $A'B'C'D'$ is constructed by extending the lines from center $P$ to each vertex of $ABCD$ to twice their original length, then connecting the new endpoints in s…
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graph the line. -4x + 3y = 12. give the domain and range. use the graph…
The domain of the function \(y=\frac{4}{3}x + 4\) (which represents the line \(-4x + 3y = 12\)) is \(\boldsymbol{(-\infty,\infty)}\) and the range is \(\boldsymbol{(-\infty,\infty…
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right triangles 1, 2, and 3 are given with all their angle measures and…
C. 0.83
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find the area of the figure. (sides meet at right angles.)
\(22\mathrm{cm}^2\)
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in the figure below, there are three right triangles. complete the foll…
(a) $\triangle ABC \sim \triangle CBD \sim \triangle ACD$ (b) $\frac{BD}{BC} = \frac{CB}{AB}$; $\frac{AD}{CD} = \frac{CD}{BD}$
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14. mathematical connections carolina says that when a figure is dilate…
If the angles were doubled, the sum of the image triangle's angles would be $360^\circ$, which violates the Triangle Angle Sum Theorem (triangle angles must sum to $180^\circ$). T…
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what is the area of the trapezoid? 4 mm 11 mm 10 mm 10 mm square millim…
70 square millimeters
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plot $2\\frac{4}{5}$ and $1\\frac{7}{10}$.
To plot \(2\frac{4}{5}\) (which is \(2.8\)): Start at 2, move 8 small segments (each representing \(0.1\)) to the right. To plot \(1\frac{7}{10}\) (which is \(1.7\)): Start at 1, …
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1-2 logic practice directions: write the negation of each statement. st…
1. $x \leq 3$ 2. Today is not Saturday. 3. $y > 10$ 4. Geometry is my favorite class. 5. $p \land q$ 6. $q \lor r$ 7. $ eg q ightarrow p$ 8. $ eg p \land eg r$
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10. error analysis kendall was asked to find the scale factor for the d…
Kendall calculated the scale factor as the ratio of the pre-image length to the image length (using $\frac{6}{2}=3$) instead of the correct ratio of image length to pre-image leng…
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solve the inequality and graph the solution. 3 + 2t < -1 to draw a ray,…
The solution to the inequality is $t < -2$. For the graph: an open circle at $-2$ on the number line, with an arrow pointing to the left toward negative infinity.
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writing expressions for volume of a composite figure which expressions …
$\frac{1}{3}(7)(12)(10) - \frac{1}{3}\pi(3^2)(10)$ $280 - 30\pi$
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give the coordinates of the dilation. 7. $d_5(\\triangle pqr)$ for $p(1…
$P'(5, -15)$, $Q'(-25, -20)$, $R'(30, 10)$
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$overline{rs} cong overline{st}$ and $overline{ru} cong overline{tu}$. …
The completed proof with reasons is as follows: | Statement | Reason | | --- | --- | | 1. \(\overline{RS} \cong \overline{ST}\) | Given | | 2. \(\overline{RU} \cong \overline{TU}\…
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read each paragraph. circle the accessory that each paragraph describes…
B. purse
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$overline{pr} cong overline{qs}$. complete the proof that $overline{qr}…
Statement 10: \( m\angle PQR = 90^\circ \) (or \( \overline{QR}\perp\overline{PQ} \)) Reason for statement 10: Division Property of Equality (for the angle measure) or Definition …
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proper lighting and a clear view of the food preparation area are impor…
Acute
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triangle 5 adjacent side 52 opposite side 30 hypotenuse 60 theta
$\boldsymbol{30^\circ}$ (or approximately, considering the side lengths, it's very close to $30^\circ$)
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in the figure, ( a parallel e ), ( m parallel n ), and ( mangle 3 = 112…
$68$
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graph the line containing the point p and having slope m. p = (-5, -7);…
The equation of the line is $y=-7$, and it is a horizontal line passing through the point $(-5,-7)$ (and all other points with $y - coordinate=-7$). To graph it, plot the point $(…
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$overline{ij} cong overline{gj}$ and $overline{hi} cong overline{gh}$. …
| Statement | Reason | | --- | --- | | 1. \(\overline{IJ} \cong \overline{GJ}\) | Given | | 2. \(\overline{HI} \cong \overline{GH}\) | Given | | 3. \(\overline{HJ} \cong \overline…
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in the figure, ( j parallel k ) and ( mangle 2 = 117^circ ). what is th…
$63$