幾何
三角形、円、座標幾何、証明問題。
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name: topic: date: class: main ideas/questions notes/examples rate of c…
s: 1. \(1\) 2. \(2\) 3. \(-\frac{1}{4}\) 4. \(-1\)
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question 1-1 tara is bisecting a line segment. which is the next step? …
B. Keeping the same compass width, draw arcs from the other end of the segment.
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triangle ijk is similar to triangle lmn. find the measure of side lm. r…
\(16.6\)
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find the x- and y-intercepts of the graph of x + y = 18. state each ans…
x - intercept: \( 18 \), y - intercept: \( 18 \)
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quadrilateral tuvw is dilated by a scale factor of \\(\\frac{2}{3}\\) t…
42
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5. which of the given pairs of lines is perpendicular? $3x + y = 8$ $y …
The pair $y = 10$ and $x = -1$ (the third option: $y = 10$; $x = -1$)
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trapezoid bcde is dilated by a scale factor of 4 to form trapezoid bcde…
80
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4. which equation represents a line that is perpendicular to $y = -\fra…
B. \( y = 5x + 32 \) (assuming the second option is labeled B, if the original options had labels like A, B, C, D with the second option being B for \( y = 5x+32 \))
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quadrilateral nopq is dilated by a scale factor of \\(\\frac{3}{4}\\) t…
28
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which two triangles are congruent by the aas theorem? complete the cong…
\(\triangle KJI\cong\triangle ZXY\)
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a coordinate plane with two straight lines, both increasing from left t…
D. The lines are parallel because they will never touch or intersect.
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solve for x. round to the nearest tenth, if necessary. triangle jik wit…
\( 5.1 \)
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true/false decide if each statement is true or false, and write \true\ …
true 2. # Brief Explanations: Constantine was Rome's first Christian emperor, while Theodosius the Great made Christianity the official religion.
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1. the lines $2x - y = -3$ and $y = \\frac{1}{2}x + 3$ are shown on the…
(Assuming the options include a statement about the lines having the same y - intercept or intersecting at \((0,3)\), for example, if the options are: A. The lines are parallel. B…
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question 1-20 fill in the blanks using the available answer choices. in…
1. circumcircle 2. \( G \) 3. \( GA \) (or \( GB \), \( GC \))
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which point is located at (5, -2)? graph of coordinate plane with point…
point D
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name: transversal quiz determine the angle measure and the angle relati…
1. Medida: 37, Relación: Supplementary (o Alternate Interior) 2. Medida: 128, Relación: Linear Pair 3. Medida: 60, Relación: Alternate Exterior (o Alternate Interior) 4. Medida: 3…
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for items 7-10, use the figure shown. find the coordinates of the speci…
\((-3, 3)\)
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determine if the triangles are similar. if so, state the similarity tra…
The triangles (△GHJ and △GMK) are similar by AA similarity (due to parallel lines creating equal corresponding angles and a common angle). The similarity transformation involves A…
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6. $\\triangle bcd \\sim \\triangle fge$ 7. $klmn \\sim pqrs$ 8. $\\tri…
To solve the problem, we first need to find the perimeter of \(\triangle KLM\) and then use the scale factor to find the perimeter of \(\triangle PQR\). ### Step 1: Calculate the …
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graph the line with the equation $y = \\frac{1}{6}x - 5$.
To graph \(y=\frac{1}{6}x - 5\), plot the y - intercept \((0,-5)\), then use the slope \(\frac{1}{6}\) to find another point (e.g., \((6,-4)\)) and draw a line through these point…
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name: transversal quiz determine the angle measure and the angle relati…
Para la pregunta 5: Equation: \( 11x - 7 = 35 \) \( x = 4 \) (Wait, no, 11*4 -7 = 37, no. Wait, la imagen tiene x = 7, así que la ecuación debe ser \( 3x - 7 = 35 \), entonces \( …
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a translation 5 units right and 3 units down, then a reflection across …
C. Quadrant III
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given the m∠2 is 97° and the m∠8 is 102° find the following angles (1 p…
\( m\angle11 = \boldsymbol{83^\circ} \), \( m\angle9 = \boldsymbol{83^\circ} \), \( m\angle14 = \boldsymbol{102^\circ} \), \( m\angle5 = \boldsymbol{102^\circ} \)
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5. are the two triangular flags similar? explain. 9 in. 4.2 in. 10.5 in…
The two triangular flags are not similar because the ratios of their corresponding side lengths (\(\frac{4.2}{2} = 2.1\), \(\frac{9}{4.8} = 1.875\), \(\frac{10.5}{5} = 2.1\)) are …
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graph the line with the equation $y = \\frac{1}{6}x + 3$.
To graph \( y = \frac{1}{6}x + 3 \), follow these steps: ## Step 1: Identify the y - intercept The equation is in slope - intercept form \( y=mx + b \), where \( b \) is the y - i…
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Question was provided via image upload.
9. b. corresponding angles 10. f. none 11. e. supplementary angles (supongamos que ∠12 y ∠13 son suplementarios) 12. a. alternate interior angles
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graph the line with the equation $y = -x - 3$.
To graph \( y = -x - 3 \), follow these steps: ## Step 1: Identify the slope and y-intercept The equation is in slope - intercept form \( y=mx + b \), where \( m \) is the slope a…
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similar triangle measures worksheet 1. the triangles are similar, solve…
1. \( x = 6 \) 2. \( x = 6,y = 61^{\circ} \) 3. \( x\approx6.82,y = 55^{\circ} \) 4. \( x = 90^{\circ},y = 43^{\circ},z\approx4.75 \) (answers may vary slightly depending on the m…
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equation: x + 47 = 76 x = 29
\( x = 29 \)
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2. the triangles are similar. solve for x and y.
\(x = 18\), \(y = 43\)
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also take power-up test 7 5. (19) the perimeter of the square equals th…
Each side of the square is 20 cm. ### Question 6a
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date: period similar triangle measures practice 1. the triangles are si…
For problem 1, \( x = 6 \)
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δjkl was dilated by a factor of 2/3 to form δjkl. find x and y. mber: d…
\( x = 9 \), \( y = 43^\circ \)
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the diagram shows a dilation of line ab about the origin o. determine t…
OB ≈ 3.16 units, OB' ≈ 4.74 units (or using the scale factor 1.5, if OB is measured as \(l\), then OB' = \(1.5l\))
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which postulate or theorem proves that △ cfe and △ dfe are congruent? s…
SSS Congruence Postulate
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the diagram shows a dilation of line ab about the origin o. determine t…
OA = \(\sqrt{5}\) (or approximately 2.24) units, OA' = \(\frac{3}{2}\sqrt{5}\) (or approximately 3.35) units, scale factor = \(\frac{3}{2}\) (or 1.5)
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question 8 of 10 true or false? the blue radius is perpendicular to the…
A. True
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question 7 of 10 a radius of a circle is perpendicular to a chord if an…
C. bisects that chord
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11. (inv. 3) the coordinates of three vertices of a rectangle are (3, 2…
### Part a # Explanation: ## Step1: Analyze rectangle properties In a rectangle, opposite sides are equal and parallel (so same \(x\)- or \(y\)-coordinates for vertical/horizontal…
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which postulate or theorem proves that △ cfe and △ dfe are congruent? h…
HL Congruence Theorem
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12. (34) what decimal number names the point marked with an arrow on th…
0.35
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which postulate or theorem proves that △ rmn and △ qpn are congruent? s…
AAS Congruence Theorem
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which postulate or theorem proves that these two triangles are congruen…
ASA Congruence Postulate
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ent. if they are, state how you know. 2)
The triangles are congruent by the SAS (Side - Angle - Side) congruence criterion.
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which angle is the included angle for \\(\\overline{mp}\\) and \\(\\ove…
\( \boldsymbol{\angle M} \)
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kuta software - infinite geometry sss and sas congruence state if the t…
The two triangles are congruent (by SAS or HL congruence criterion).
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point c has the coordinates (-1, 4) and point d has the coordinates (2,…
5
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Question was provided via image upload.
\( x \approx 12.5 \)
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solve for x. round to the nearest tenth, if necessary. triangle image w…
\( x \approx 12.5 \)
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determine the equation of the line for the given information: two point…
A. $m = 2$, $y - \text{int}=(0,4)$, $y = 2x + 4$
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write an equation of the line that passes through a pair of points: a. …
c. \(y=-x + 2\)
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name honors geometry 2021 - 2023 you are given the equations of the sid…
B. 12
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find the equation of the line specified. the line passes through the po…
A. \( y = 2x-8 \)
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Question was provided via image upload.
\( 107^\circ \) ### Problem 14
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sss and sas congruence state if the two triangles are congruent. if the…
The two triangles are congruent by HL (or SAS) congruence criterion. ### Problem 2:
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find the length of the third side. if necessary, write in simplest radi…
# Explanation: ## Step1: Identify triangle type It's a right - triangle, so use Pythagorean theorem \(a^{2}+b^{2}=c^{2}\), where \(c\) is hypotenuse, \(a,b\) are legs. Here, hypot…
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sas congruence name: ______ date: ______ period: ______ state if the tw…
Let's take problem 1 as an example to solve (since the problem is about triangle congruence, we'll use the SAS (Side - Angle - Side) congruence criterion. The SAS criterion states…
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question determine if the two triangles are necessarily congruent. if s…
The triangles are necessarily congruent.
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determine the equation of the line for the given information: the graph…
B. $y=-2.5x + 6$
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7.6 - additional practice find the missing side. round to the nearest t…
1) \( x \approx 5.9 \) 2) \( x = 9.0 \) 3) \( x \approx 7.6 \) 4) \( x \approx 16.1 \) 5) \( x \approx 19.6 \) 6) \( x \approx 31.3 \) 7) \( x \approx 23.5 \) 8) \( x \approx 22.5…
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3. a figure is transformed by ((x, y) \to (x + 2, y - 3)) followed by (…
Yes, this sequence of transformations produces a pair of similar figures. The first transformation \((x,y)\to(x + 2,y - 3)\) is a translation (rigid transformation, preserves shap…
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perform the given transformation on point d and then on its image. orig…
If reflection over y-axis, the image \(D'\) is \((5, -4)\). (If the transformation was different, adjust accordingly, but with the given info, this is a plausible solution.)
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given: $\\triangle xyz$ is an isosceles triangle with base segment $\\o…
A. \( \triangle YXA \cong \triangle ZXA \) by SAS
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find the perimeter of each figure. dimensions are in inches. all angles…
For figure 5: $\boxed{112}$ inches For figure 6: $\boxed{112}$ inches
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find the value of x so that b || c. (there is a diagram with lines a, b…
\( x = 4 \)
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type the correct answer in the box. use numerals instead of words. dete…
150
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find the equation of the graphed line. a. ( y = -6x - 7 ) b. ( y = 6x -…
d. \(y =-\frac{7}{6}x-7\)
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find the value of x so that b || c. there is a diagram with lines a, b,…
\( x = 53 \)
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find the value of x so that b || c. (5x + 3)° 32° x =
\( x = 29 \)
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find the value of x so that b || c. (3x + 8)° (7x)° x = need help?
\( x = 2 \)
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3. a figure is transformed by (x, y) → (x + 2, y − 3) followed by (x, y…
No, the sequence of transformations does not produce a pair of similar figures. The first transformation \((x, y)\to(x + 2, y - 3)\) is a translation (a rigid transformation) that…
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find the value of x so that b || c. (3x + 25)° (4x + 21)° x =
\( x = 4 \)
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the length of the base of a triangle is 24 units, and the slope is \\(\…
The length is 12 units. The slope is $\frac{1}{2}$. (Correspondiente a la opción: "The length is 12 units. The slope is $\frac{1}{2}$")
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find the value of x so that b || c. (3x - 1)° 91° x =
\( x = 30 \)
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given the following information, determine which lines, if any, are par…
D. \(c \parallel d\); Alternate Exterior Angles Converse
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question 1 of 5 select the correct answer. given: $\\triangle xyz$, a i…
El paso faltante es aplicar la proporcionalidad de lados en triángulos semejantes, donde \( \frac{AB}{YZ}=\frac{XA}{XY}=\frac{1}{2} \), justificando \( AB = \frac{1}{2}YZ \) por l…
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write an equation of the line that passes through a pair of points: (-2…
D. \( y =-\frac{3}{7}x-\frac{20}{7} \)
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given the following information, determine which lines, if any, are par…
A) \(a \parallel b\); Consecutive Interior Angles Converse
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determine if the triangles are similar. if so, state the similarity tra…
A. always
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the coordinates of the endpoints of $overline{ab}$ and $overline{cd}$ a…
A. \( \overline{AB} \parallel \overline{CD} \)
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write an equation of the line that passes through a pair of points: a. …
b. \( y = x - 3 \)
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type the correct answer in the box. the image shows a portion of a brid…
12
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$\\angle 16 \\cong \\angle 3$ a) $y \\parallel z$: alternate exterior a…
C) $w \parallel x$; Alternate Interior Angles Converse
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find the equation of the line specified. the line passes through the po…
C. \( y = x - 1 \)
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write an equation of the line that passes through a pair of points: (-3…
B. \( y=-6x - 17 \)
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m∠6 + m∠7 = 180° a) y || z: alternate interior angles converse b) y || …
D) \( w \parallel x \): Consecutive Interior Angles Converse
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type the correct answer in the box. find the length of (overline{su}) i…
3
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type the correct answer in the box. use numerals instead of words. cons…
72.15
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$\\angle 5 \\cong \\angle 10$ a) $w \\parallel x$; alternate exterior a…
C) $y \parallel z$; Alternate Interior Angles Converse
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∠15 ≅ ∠13 a) w || x; alternate interior angles converse b) w || x; conv…
A) $w \parallel x$; Alternate Interior Angles Converse
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type the correct answer in each box. use numerals instead of words. if …
La longitud de \( \overline{AC} \) es \( 8 \) unidades, y \( m\angle CBD \) es \( 23^\circ \).
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4) graph all 3 lines on the same grid. state the slope, rise, run and y…
To solve the problem of graphing the three lines \( y = x + 2 \), \( y = x - 4 \), and \( y = x \), we analyze each line using the slope - intercept form \( y=mx + b \), where \( …
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$\\angle 15 \\cong \\angle 13$ a) $w \\parallel x$; alternate interior …
A) $w \parallel x$; Alternate Interior Angles Converse
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solve the inequality and graph the solution on the line provided. -6x +…
Inequality Notation: \(z < -5\) For the number line: Draw an open circle at \(-5\) (since \(z\) is not equal to \(-5\)) and shade the line to the left of \(-5\) to represent all v…
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9. jen wants to paint one wall in her room. there is a door and window …
\( 11x^{2}+28x + 3 \) ### Question 10
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consider the diagram below. (2x + 4)° (7x − 14)° (3x + 30)° find the va…
\(x = 11\)
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5. tim wants to have a rectangular garden with a walkway around it. wha…
\(-6m^4 + 2m^3 - 2m^2 + 6\) ### Problem 7: Determine the area of the garden that does not include the flowerbed
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9. if the dimensions of the box below are doubled, by how many square c…
C. 162
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1. the figure below represents a garden with two different plants. mr. …
Area: \(4x^2\) Perimeter: \(12x + 2\) ### Problem 2: Area of Composite Figure (Triangle + Rectangle)