几何
三角形、圆、解析几何与证明题。
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a = \\frac{1}{2}bh a) what are the actual base and height of the trampo…
60
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1. match each statement that proves a quadrilateral is a parallelogram …
To solve this problem, we analyze each property of a parallelogram and match it to the corresponding figure based on the visual cues (marks, angles, diagonals): ### 1. *The diagon…
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what number can you multiply each length in the scale drawing by to fin…
10
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18. (image of a rectangular prism with length 12, width 9, height 8, an…
17
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jazlyn owns an indoor trampoline park. the scale drawing shows a new tr…
Actual length = \(12\) ft Actual width = \(6\) ft
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jadyn owns an indoor trampoline park. the scale drawing shows a new tra…
\(3\)
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find the area. 20 in 12 in a = ? in²
$240$ $\text{in}^2$
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find the midpoint, m, of \\(\\overline{ab}\\). \\(a = (10, 1)\\) \\(b =…
$M=(2, 2)$
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13. find the area of the shape a) 10.28 sq in b) 16.56 sq in c) 7.14 sq…
a) 10.28 sq in
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onaya has a map that shows the lengths of some hiking trails. the scale…
\(0.5\) ### Second Sub - Question (Assuming the picnic area trail is the 3 cm one)
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chaya has a map that shows the lengths of some hiking trails. the scale…
\(0.5\) (or \(50000\) if considering cm to cm, but based on the scale \(3\) cm : \(1.5\) km, the multiplier is \(0.5\) km per cm, so the number is \(0.5\))
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10. find the area of the composite figure a) 51.5 c) 32 b) 44 d) 3 rect…
b) 44
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3. be precise inez finds that the area of this figure is 9 square units…
To cover the figure (a square with area 9 square units, side length 3 units), draw a 3 - by - 3 grid of unit squares (each with side length 1 unit) inside the given square figure.…
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the diameter is 24 cm. find the length of arc cd. arc: ____________
The length of arc \( CD \) is \( 4\pi \) cm (or approximately \( 12.56 \) cm).
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oscar has a map of the campground where he is staying. the scale shows …
$\frac{1}{2}$ ### Second Sub - Question:
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graph the intersection of $x \\geq 1$ and $y \\leq -8$. use the graphin…
# Explanation: ## Step1: Analyze \( x \geq 1 \) The inequality \( x \geq 1 \) represents all the points to the right of and including the vertical line \( x = 1 \). To graph this,…
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determine whether the pair of triangles is similar. explain your reason…
The pair of triangles $\triangle ABC$ and $\triangle TUV$ are similar. This is confirmed by the AA (Angle-Angle) Similarity Postulate, as two pairs of corresponding angles are con…
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10. find the area of the composite figure a) 51.5 b) 44 c) 32 d) 3
a) 51.5
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find the actual length of the north side of the gym. the scale of the d…
10
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not similar or not necessarily similar ○ not similar ○ similar: △abc ~ …
## Part 1: Not similar or not necessarily similar ## Part 2: Similar: $\triangle PRQ \sim \triangle TSU$ by the Side-Side-Side (SSS) Similarity Criterion
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find the measure of the missing angles.
\( x = 22^\circ \), \( y = 68^\circ \) (Wait, no, that contradicts. Wait, no, if \( x + 68 = 90 \), then \( x = 22 \), and \( y \) is equal to \( x \), so \( y = 22 \). But that w…
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the actual lengths of the garden are shown in the table. choose an equi…
1 in. to 4 ft
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solve for x and graph the solution on the number line below. -13 > 2x -…
Inequality Notation: $x < -4$ or $x \geq 11$ For the number line graph: - Draw an open circle at $-4$ and shade all values to the left of $-4$. - Draw a closed circle at $11$ and …
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the actual lengths of the garden are shown in the table. choose an equi…
1 in. to 4 ft
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show that quadrilateral jklm is a parallelogram. because ( overline{jk}…
Because $JK = LM = \boldsymbol{\sqrt{26}}$, $\overline{JK}\cong\boldsymbol{\overline{LM}}$. Because the slopes of $\overline{JK}$ and $\overline{LM}$ are $\boldsymbol{equal}$, the…
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the area of a rectangle is 30 + 12x. list three possibilities for the l…
| Length | Width | | ---- | ---- | | 1 | \(30 + 12x\) | | 2 | \(15 + 6x\) | | 3 | \(10 + 4x\) | (Other valid factorizations like factoring out 6 (\(6\times(5 + 2x)\)) or using dif…
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identify the theorem you can use to show that the quadrilateral is a pa…
Parallelogram Opposite Angles Converse
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identify the theorem you can use to show that the quadrilateral is a pa…
Parallelogram Opposite Sides Converse
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identify the theorem you can use to show that the quadrilateral is a pa…
Parallelogram Opposite Sides Converse
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question in parallelogram abcd if ae=18 find ec. answer
\( 18 \)
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a quadrilateral has four congruent sides. must the quadrilateral be a p…
no; A quadrilateral with four congruent sides may not have opposite sides parallel.
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question given rhombus jklm below. find m∠knl. image of rhombus jklm wi…
\( m\angle KNL = 90^\circ \)
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△fgh is rotated 90° counterclockwise around the origin to form △fgh. wh…
\( G(-1, -3) \), \( G'(3, -1) \) Wait, but the user's left panel has \( G \) with \( y = 7 \), which is wrong. Maybe the original \( G \) is ( -1, 3 ), then \( G' = (-3, -1) \). L…
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△stu is rotated 90° clockwise around the origin to form △stu. 90° clock…
(5, -7)
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select the statement that describes the relationship between the two li…
One solution
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4) which coordinate is the same as the x - coordinate of point a? a) y …
A. y - coordinate of point \(A\) ### Sub - question 2: Which coordinate is the same as the y - coordinate of point \(A'\)?
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problem 4 here is a balanced hanger. each triangle weighs 2.5 pounds, e…
To solve this, we first determine the weights on each side of the balanced hanger. ### Step 1: Analyze the hanger's left and right sides - **Left side**: 4 squares (\(4x\)), 2 tri…
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which best describes the figure that is represented by the following co…
a rectangle
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a flower garden is in the shape of a circle. the circumference of the g…
B. \( 32\space m^{2} \)
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problem 3 create a balanced hanger using triangles that weigh 2 pounds …
One possible balanced hanger: Place 3 triangles (each 2 pounds) on one side and 2 squares (each 3 pounds) on the other side (since \( 3\times2 = 2\times3 = 6 \) pounds, so the han…
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match the inequality $y \\leq 2x + 3$ with its graph. which of the give…
(Assuming the correct graph is, for example, A. But based on the analysis, the correct graph should have a solid line \( y = 2x + 3 \) and shading that includes the origin. So if …
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which set of transformations would generate the image of $\\triangle ab…
The correct option is the fourth one: a reflection over the \( y \)-axis followed by a reflection over the \( x \)-axis (the last option in the list).
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20. find the perimeter and area of this triangle. dimensions are in fee…
Perimeter: 60 feet, Area: 120 square feet
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solve for ( x ) and graph the solution on the number line below. if pos…
## Inequality Notation: $x > -6$ ## Number Line: Draw an open circle at $-6$ on the number line, then shade all regions to the right of $-6$ (extending to positive infinity).
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which expressions can be added to find the volume of the solid figure? …
- $1 \times 4 \times 7$ and $4 \times 3 \times 6$ - $4 \times 6 \times 1$ and $6 \times 4 \times 3$
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line ( l ) is shown below. right triangles ( abc ) and ( def ) are draw…
### Part (a) # Explanation: ## Step1: Determine rise for triangle ABC Rise is the vertical change. From point A (0,0) to C (9,10)? Wait, no, looking at the graph, point A is at (0…
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which is the graph of the linear inequality $y \\geq -x - 3$? (there is…
The upper graph (with the solid line and shading above \( y = -x - 3 \)) is the graph of \( y\geq -x - 3 \).
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$\\overleftrightarrow{ce}$ and $\\overleftrightarrow{fh}$ are parallel …
\(\angle CDB\) and \(\angle EDB\) (the option with \(\angle CDB\) and \(\angle EDB\))
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ir and ln are parallel lines. which angles are supplementary angles? ∠n…
\(\boldsymbol{\angle KJH}\) and \(\boldsymbol{\angle KJM}\) (the fourth option: \(\angle KJH\) and \(\angle KJM\))
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19. find the perimeter and area of this parallelogram. dimensions are i…
The perimeter of the parallelogram is \( 48 \) feet and the area is \( 126 \) square feet.
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graph the line $y = 3x$.
To graph \( y = 3x\): 1. Recognize it has a slope of \( 3\) and y - intercept \( 0\) (passes through \((0,0)\)). 2. Find another point: when \( x = 1\), \( y=3\) (point \((1,3)\))…
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six graphs are shown below. click on the tabs to see them. graph 1 grap…
Graph 3 should not be checked (the box for Graph 3 should be unchecked) because it fails the vertical line test (a vertical line intersects it more than once, so it is not a funct…
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graph the linear equation. \\( y = 3 \\)
To graph \( y = 3 \), draw a horizontal line parallel to the \( x \)-axis passing through all points with \( y \)-coordinate 3 (e.g., \( (0, 3) \), \( (5, 3) \), etc.).
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express cos j as a fraction in simplest terms. (right triangle with rig…
\(\frac{12}{13}\)
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express cos j as a fraction in simplest terms. (right triangle with rig…
\(\frac{12}{13}\)
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problem 2 which of these moves would keep the hanger in balance? (selec…
B. Add 2 triangles to each side, D. Remove 2 circles from the right side and 1 square from the left side (Wait, no—wait, rechecking: Wait, the initial hanger: Left has square + tr…
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a horizontal line se expression for the rectangular prisms write an (12…
$(12 \times 12 \times 4)+(7 \times 12 \times 5)$
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a section of a rectangle is shaded. the area of the shaded section is 6…
11 units
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which of the following is equivalent to the line defined by (4,9) and (…
D. \( 9x + 4y=72 \)
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6.a hiker walks 8 kilometers west, then 3 kilometers south, and finally…
3 kilometers south
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3. a student walks 15 meters down the hallway, then turns left and walk…
40 meters
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which angles are vertical to \\(\\angle 4\\)? select all that apply. im…
∠9
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12. (image shows three rectangles with x, three groups of two small rec…
The equation is $33 - x = 6$, and the solution is $x=27$ (represented by 2 large blocks and 7 small blocks).
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circle the answer that best completes the sentence. (may/can) i go to t…
May
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the area of a circle is 36π square kilometers. what is the radius? give…
6 kilometers
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the area of a circle is 100π square feet. what is the radius? give the …
10 feet
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the area of a circle is $81\\pi$ square meters. what is the radius? $a …
9 meters
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the circumference of a circle is 12π kilometers. what is the radius? c=…
6 kilometers
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the circumference of a circle is 8π inches. what is the radius? give th…
4 inches
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name: date: class: test corrections instructions: for each incorrect qu…
When substituting the \( x \)-value and \( y \)-value of a point into the equation \( 2x + 4y = 20 \), we calculate the value of the left - hand side of the equation (\(2x + 4y\))…
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linear relationships: end-of-unit assessment select the 2 answer choice…
A. \((0, 5)\), F. \((10, 0)\)
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find the length of arc ab. (there is a circle with center, radius 6 cm,…
The length of arc \( AB \) is \( 4\pi\space\text{cm} \) (or approximately \( 12.56\space\text{cm} \)).
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challenge #4 what does the graph of x = 4.5 look like?
It is a vertical straight line that passes through the point $(4.5, y)$ for all real values of $y$.
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challenge #4 what does the graph of x = 4.5 look like?
It is a vertical straight line that passes through the point $(4.5, y)$ for all real values of $y$.
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challenge #2.1 how could you summarize these points algebraically? in o…
$y = 4$
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challenge #2.1 how could you summarize these points algebraically? in o…
$y = 4$
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transformation summative activity chart labeled point\trule:\tpre - ima…
To solve the transformation for each pre - image point, we will apply the given transformation rules (translation: \((x + 6,y-12)\), rotation: \((-y,x)\)) one by one. We will take…
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what have you learned so far? write a quick summary (2-3 sentences) des…
Horizontal lines are defined by a constant y-value across all x-values, so they have a slope of 0. Their standard equation is $y = k$, where $k$ is the fixed y-coordinate the line…
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liliana makes a number 1 by cutting out a parallelogram. find the area …
43
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graph the image of rectangle stuv after a rotation 270° counterclockwis…
The image of rectangle \( STUV \) after a \( 270^\circ \) counterclockwise rotation around the origin has vertices at \( S'(-9, 6) \), \( T'(-9, 3) \), \( U'(-1, 3) \), and \( V'(…
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find the area of the shaded polygon. area of polygon = \\square square …
30
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which sentence describes a way to determine the area of the polygon sho…
18
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choose the sentence that shows the converse of the statement: \if a pol…
A. If a polygon is an equilateral triangle, then it has 3 congruent sides.
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the polygon shown is decomposed into two triangles. find the total area…
24
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choose a polygon that would be a counterexample to the statement. * 1 p…
Figure A
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transformation summative activity chart labeled point\trule: pre - imag…
To solve the translation for each pre - image point \((x,y)\) using the rule \((x + 6,y-8)\), we follow these steps for each point: ### Point A: \((3,14)\) ## Step 1: Calculate th…
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complete the paragraph to describe a sequence of transformations that s…
\(\frac{1}{2}\) (and for the rotation, typically \(90^\circ\) or \(180^\circ\) clockwise, but since the rotation options aren't fully shown, we focus on the scale factor here as \…
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transformation summative activity chart labeled point\trule:\tpre - ima…
To solve the transformation for each pre - image point, we will apply the given transformation rules (translation: \((x + 6,y-12)\), rotation: \((-y,x)\)) one by one. We will take…
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find the total area of the shaded polygon. area of polygon = \\square s…
12
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what is the area of the letter zora made? a = \\square in.^2 an error h…
\(50\)
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15. the formula for the perimeter of a rectangle is $p = 2l + 2w$, wher…
\(l=\frac{P - 2w}{2}\) (or \(l=\frac{P}{2}-w\))
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a baker poured 8 kilograms of oats equally into 3 bags. what is the wei…
Weight of each bag: $\boldsymbol{\frac{8}{3}}$ kilograms (or $2\frac{2}{3}$ kilograms) Division sentence for the diagram: $\boldsymbol{24}$ thirds $\div 3 = \boldsymbol{8}$ thirds…
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the bottom of a ladder must be placed 3 feet from a wall. the ladder is…
11.6
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a soccer field is a rectangle 90 meters wide and 120 meters long. the c…
150
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identifying the graph of a system of two-variable linear inequalities w…
The fourth graph (the last one among the four given graphs)
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a map shows that 1 inch represents 4 miles in real life. on the map, th…
12 miles
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teacher:flood class:flood 6th period student andino, janessa find the l…
\(5.8\) (or \(\sqrt{34}\) if not rounded)
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22. find the perimeter of the parallelogram. the parallelogram (a rhomb…
\(\boxed{20}\)
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naming points heres your point from the previous screen. (1) what are t…
1. The coordinates of the given point are $(2, -4)$ 2. Three example other points: $(0, 0)$, $(3, 5)$, $(-2, 1)$
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the area of a square is 81 square centimeters. find the length of a sid…
\( 12.73 \)