几何
三角形、圆、解析几何与证明题。
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3. rachel and three friends shared a bag of pretzels. there were 84 pre…
1. The original rectangular figure and the right-side parallelogram figure are the ones with at least one set of parallel sides. 3. 21 pretzels 5. (No correct option shown; the sm…
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find the distance between the two points in simplest radical form. (0, …
$3\sqrt{5}$
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what is the area of this figure? 7 in 4 in 4 in 9 in 5 in 2 in 6 in 8 i…
$28 + 55 + 24 = 107$ square inches
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what is the value of a? options: $6\\frac{2}{3}$ units 5 units $5\\frac…
\( 5\frac{1}{3} \) units
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3. find the surface area of the rectangular prism using the net. 4 in 8…
The surface area of the rectangular prism is \(\boldsymbol{160}\) square inches.
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1 angle b is an acute angle in a right triangle. what is a reasonable a…
1. $\boldsymbol{42^\circ}$ (approximate) 2. | Angle | Adjacent Leg $\div$ Hypotenuse | Opposite Leg $\div$ Hypotenuse | Opposite Leg $\div$ Adjacent leg | |-------|---------------…
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a = choose the equation that best solves the area. a. 10 x 5 b. 10 x 6 …
D. \(6\times10\)
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question 6 lesson 5-4 practice (im g7) diagram a -1 x 0 1 a. the value …
To solve this problem, we analyze the number lines (Diagrams A and B) to determine the position of \( x \) relative to other numbers (like \(-1\), \( 0 \), \( 1 \), and \(-\frac{1…
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choose the correct answer. a. area = 8 sq. units b. area = 10 sq. units…
A. area = 8 sq. units
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decide whether or not each equation represents a proportional relations…
yes ### Part b
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8-113. use the angle relationships in the diagram below to determine th…
- \( a = 26^\circ \) (using angle subtraction from \( 63^\circ - 37^\circ \)) - \( b = 91^\circ \) (triangle angle sum: \( 180 - 37 - 52 \)) - \( c = 52^\circ \) (corresponding an…
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at school, the maximum number of students that can be in a classroom is…
B. The number of students that can join the class is at most 8.
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7. find the length of the unknown side ( x ). give your answer correct …
$x \approx 2\sqrt{11} \approx 6.63$
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5 cm, \\(\frac{1}{2} \\times \\frac{5}{1} \\times \\frac{5}{1} = \\frac…
El área del triángulo es \( \frac{25}{2} \, \text{cm}^2 \) (o \( 12.5 \, \text{cm}^2 \)).
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solve $-12 \\geq x - 20$. then, graph the solution. what is the solutio…
A. $8 \geq x$ For the graph: Draw a number line, place a closed circle at 8 (since the inequality includes equality), and shade all values to the left of 8 to represent all number…
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question 2 unique id:0545 this is the only question in this section. qu…
\( \boxed{38^\circ} \)
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find the distance between the two points rounding to the nearest tenth …
$7.2$
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we would like to find the hypotenuse in a right triangle with shorter s…
D (7, 24, 25)
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e area of th ramid using 5 cm \\frac{1}{2}\\times5\\times5 =
El área del triángulo (una cara de la pirámide) es $12.5 \, \text{cm}^2$.
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in the diagram, $m\\angle qrs = 133^circ$. diagram of triangle pqr with…
15
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a rectangle is drawn on a grid. below it, there is a multiplication exp…
\( 4 \times 7 = 28 \) \( \text{Area} = 28 \)
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using the diagram in conjunction with postulates and theorems, determin…
\( \boxed{82^\circ} \) (assuming we found \( m\angle 19 \); if the target angle is different, adjust accordingly)
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distance formula quiz problems: find the distance between each pair of …
\( \sqrt{29} \) (or approximately 5.39) ### Problem 2: \((0, 0)\) and \((4, 3)\) ## Step 1: Identify coordinates \( x_1 = 0, y_1 = 0, x_2 = 4, y_2 = 3 \) ## Step 2: Apply distance…
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2. given: ∠s ≅ ∠v, t is the midpoint of \\(\\overline{sv}\\). prove: \\…
$\triangle RTS \cong \triangle UTV$ is proven by the ASA Triangle Congruence Postulate.
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find the distance between the two points rounding to the nearest tenth …
13
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4. what is the area of the figure below? □ = 2 square units 6. find the…
1. Área de la figura (pregunta 4): 88 unidades cuadradas 2. Lado faltante (pregunta 6): b. 7 in.
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→← gj bisects ∠hgi. complete the proof that hj ≅ ij. triangle with vert…
| Statement | Reason | |-----------|--------| | 1. $\overleftrightarrow{GJ}$ bisects $\angle HGI$ | Given | | 2. $\overline{GI} \cong \overline{GH}$ | Given | | 3. $\angle HGJ \co…
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capitalize it! circle the words that need to be capitalized. the world …
The words that need to be capitalized are: World, Health, Organization, WHO, Ebola.
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i is the midpoint of \\(\\overline{gh}\\) and \\(\\overline{fi} \\perp …
| Statement | Reason | |-----------|--------| | 6. $\triangle FGI \cong \triangle FHI$ | SAS (Side-Angle-Side) Congruence Postulate | | 7. $\overline{FG} \cong \overline{FH}$ | CP…
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2. $y \\leq \\frac{1}{2}x$ $x + y < -4$ (0, -4) ______ (-3, -6) ______ …
For \((0, -4)\): No For \((-3, -6)\): No (as per the given mark, maybe due to graph intersection) For \((-5, 0)\): No
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find the perimeter of the figure. (the figure has dimensions: 3 in., 8 …
40 inches
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5. noreen drew a scale drawing of the local park. the playground, which…
The scale of the drawing is $1:200$, meaning 1 centimeter on the drawing represents 200 centimeters (or 2 meters) in real life.
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type the correct answer in the box. polygon abcde is reflected across t…
1.10
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9. true or false: the triangle is a right triangle. 15 m 9 m 12 m
True
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quadrilateral lmno is similar to quadrilateral pqrs. find the measure o…
The length of side SP is 10.
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select the correct answer from each drop - down menu. there are seven l…
First drop - down: line; Second drop - down: a vertex and the midpoint of the opposite side (or similar symmetry - related description, but based on the problem's likely options, …
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8. find the missing side of the right triangle. side c is the hypotenus…
\(\sqrt{10}\) yd
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1. solve for c. $c^2 - 5 = 95$ 2. find the lcm. 9 5 3. write a mixed nu…
1. $c = 10$ or $c = -10$ 2. 45 3. $2\frac{1}{4}$ 4. $135^\circ$ 5. $1:200$ (1 cm on drawing = 200 cm/2 meters in real life)
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the square on the right is a scaled copy of the square on the left. ide…
$\frac{25}{32}$
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7. find the missing side of the right triangle. side c is the hypotenus…
\(2\sqrt{26}\space m\)
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6. find the missing side of the triangle. leave your answers in simples…
\(8\sqrt{3}\) km
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given that \\(\\overrightarrow{eb}\\) bisects \\(\\angle cea\\), which …
- \(m\angle CEA = 90^\circ\) - \(\angle AEF\) is a right angle - \(\angle CEF\) is a straight angle
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given: ∠abc is a right angle, ∠dbc is a straight angle prove: ∠abc ≅ ∠a…
definition of congruent angles
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in the diagram, what is ( mangle vsr )? ( mangle vsr = square^circ )
\( 80^\circ \)
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angle rst is a right angle. angle rsu has a measure of 25°. what is the…
\( 65^\circ \)
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question 3 c. find the perimeter. (there is a parallelogram with top si…
20 mm
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why does the angle-side-side (ass) theorem not work for proving triangl…
The position of the second side is not fixed.
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in the diagram, what is the measure of ∠wrs? the diagram shows intersec…
\(25^\circ\)
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what number can you multiply each length in the scale drawing by to fin…
2
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line jm intersects line gk at point n. which statements are true about …
A. \(\angle GNJ\) is complementary to \(\angle JNK\) E. \(\angle MNL\) is complementary to \(\angle KNL\) (Note: Assuming the options are labeled as A: \(\angle GNJ\) is complemen…
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two parallel lines are intersected by a third line so that angles 1 and…
They are congruent (the option with "They are congruent" text)
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radical functions and introduction to proof 1. given: ( mangle trv = 60…
angle addition postulate
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given ( l parallel m parallel n ), find the value of ( x ). image of th…
\( x = 20 \)
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if defg is a rhombus, find ( mangle dgf ). the measure of angle dgf is …
\(114^\circ\)
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which theorem is used only for right triangles? hypotenuse-leg (hl) sid…
Hypotenuse-Leg (HL)
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the perimeter of a rectangle is 42.6 feet. one side of the rectangle me…
14.9 feet
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given $m \\parallel n$, find the value of $x$ and $y$. (there is a diag…
\( x = 17 \), \( y = 29 \)
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purchase for her facility. (3) what number can you multiply each length…
\(3\) ### For the second sub - question (Actual length):
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introduction to quadrilaterals (thurs 1/8) if wxyz is an isosceles trap…
$48^{\circ}$
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the perimeter of a rectangle is 47.4 inches. one side measures 16.6 inc…
7.1 inches
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josh drew a square with sides that were 7 inches each. what is the area…
El área del cuadrado de Josh es 49 pulgadas cuadradas.
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josh drew a square with sides that were 7 inches each. what is the area…
The area of Josh's square is 49 square inches. ### Second Sub - Question (Perimeter of Becca's Rug)
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5. create an algebraic expression to represent the area/volume for the …
s: a) \( \boldsymbol{60x^{9}y^{7}} \) b) \( \boldsymbol{20y^{10}} \) c) \( \boldsymbol{96x^{9}y^{8}} \)
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the points given in the table lie on a line. find the slope of each lin…
\(-\frac{5}{2}\) ### Problem 5:
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given $m \\parallel n$, find the value of $x$ and $y$. (7y - 15)° (x - …
\(x = 62\), \(y = 21\)
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in the side-angle-side (sas) theorem, where is the congruent angle loca…
In between the two congruent sides
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2/5 which theorem states that if three pairs of corresponding sides in …
1. Side-Side-Side (SSS)
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question 1 1/5 what does it mean for two figures to be congruent? they …
4. They have the same size and shape.
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the figures shown are similar. find the scale factor from the smaller f…
6
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the figures shown are similar. find the scale factor from the smaller f…
3
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jenny and joe are standing on a riverbank, 220 meters apart, at points …
$87.6^\circ$
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name date personal learning solution: infinite (grade 6 math) distances…
1. Distance: 4 units (y-coordinates) 2. Distance: 9 units (y-coordinates) 3. Distance: 2 units (x-coordinates) 4. Distance: 15 units (x-coordinates)
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a surveyor took some measurements of a piece of land. the owner needs t…
The area of the piece of land is approximately \(\boldsymbol{652}\) square feet (or more precisely \(651.78\) square feet).
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rotating δlmn by 90° clockwise about the origin, we get its image δlmn …
\( 90^\circ \) ### Part (b)
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kuta software - infinite grade 6 math distances on the coordinate plane…
1) Distance: 4 units; Used y-coordinates; Expression: $6 - 2$ 2) Distance: 9 units; Used y-coordinates; Expression: $|3 - (-6)|$ 3) Distance: 4 units; Used x-coordinates; Expressi…
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if abcd is a trapezoid with midsegment ef, find its perimeter. the peri…
86
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if jklm is a parallelogram, find its perimeter. k 3y - 4 l 6x - 14 x + …
78
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translating $\triangle xyz$ to the right 3 units and upward 5 units, we…
### Part (a) To find the length of \( XX' \), \( YY' \), and \( ZZ' \), we use the distance formula between two points \((x_1, y_1)\) and \((x_2, y_2)\): \( d = \sqrt{(x_2 - x_1)^…
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translating δstu to the left 4 units and upward 1 unit, we get δstu. no…
### Part (a) #### Slope of \( \overline{SS'} \) - **Step 1**: Identify coordinates of \( S \) and \( S' \). \( S(6, -2) \), \( S'(2, -1) \). - **Step 2**: Use slope formula \( m =…
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find the slope of each line. (example 2) 2. 3.
\(\frac{1}{3}\) ### Problem 3:
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15. look for relationships in the diagram below what are the measures o…
$\angle DBC = 140^\circ$, $\angle DBE = 70^\circ$, $\angle EBF = 30^\circ$, $\angle DBF = 100^\circ$
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the units of the subway map below are in miles. suppose the routes betw…
11.2 miles
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8. choose efficient methods how can you find the slope of the line that…
The slope of the line passing through \((0, 0)\) and \((2, 4)\) is \( 2 \). We can find it using the slope formula \( m=\frac{y_2 - y_1}{x_2 - x_1} \) (substituting \( (x_1,y_1)=(…
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translating δabc to the left 8 units and downward 3 units, we get its i…
### Part (a) #### Explanation: To find the length of a segment between two points \((x_1, y_1)\) and \((x_2, y_2)\), we use the distance formula: \(d = \sqrt{(x_2 - x_1)^2 + (y_2 …
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independent practice find the slope of a ski run that descends 15 feet …
\( -\frac{5}{8} \)
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on a zip - line course, you are harnessed to a cable that travels throu…
36.1 meters
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38. beach volleyball the dimensions of the playing area and free zone o…
The area of the beach volleyball court is $\boldsymbol{3867\frac{7}{9}}$ square feet (or $\boldsymbol{\frac{34810}{9}}$ square feet).
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on a zip - line course, you are harnessed to a cable that travels throu…
14.1 meters
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from the top of a 20 m tall building, a bus is sighted at an angle of d…
The bus is approximately \( \boldsymbol{23.83\space m} \) far from the building. (For the sketch: Draw a vertical line segment to represent the building (length 20 m). From the to…
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transversal problems with equations (level 1) score: 2/5 penalty: 1 off…
\( x = 5 \)
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37. gardening you are planning a rectangular vegetable garden that is $…
The area of the vegetable garden is $\frac{35}{8}$ square yards, or $4\frac{3}{8}$ square yards.
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the coordinates of point t are (10,15). the midpoint of \\overline{st} …
$(0, -31)$
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rise & shine: drawing scaled copies directions: for each task below, fo…
To solve problems related to scaled copies, we use the concept of scale factors. Let's assume the original figure (a rectangle) has length \( l \) and width \( w \). ### Task 1 (F…
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distances on the coordinate plane find the distance between points a an…
1. Distance: 4 units; Used y-coordinates; Expression: $6-2$ 2. Distance: 9 units; Used y-coordinates; Expression: $3-(-6)$ 3. Distance: 2 units; Used x-coordinates; Expression: $-…
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1. volume find the area and volume of both prisms.
Surface Area: \( 88 \) (unit\(^2\)), Volume: \( 48 \) (unit\(^3\)) (Note: Since the problem mentions "both prisms" but only one is shown, if there is another prism, we would need …
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what is the value of k? there is a diagram with points l, z, y, x, m, n…
$10$
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what is the value of x? (with a triangle and angles at f: 53°, at h: 45…
$98$
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what is the equation of the vertical line through (2, 3)?
\( x = 2 \)
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what is the equation of the vertical line through (2,3)?
\( x = 2 \)
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use an algebraic equation to find the measures of the two angles descri…
The measure of the supplement is $3^\circ$, the measure of the other angle is $177^\circ$.