幾何
三角形、円、座標幾何、証明問題。
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write the expression for the volume of the prism. simplify your answer …
\( 42x^3 + 8x^2 - 64x \)
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find the area and perimeter of each shape. 1 diagram of a parallelogram…
- Area: \( 3x^2 + 23x + 30 \) - Perimeter: \( 6x + 4 \) ### Problem 2 (Isosceles Triangle)
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name the two pairs of vertical angles in the figure. ∠1 and ? ∠2 and ?
\( \angle 1 \) and \( \angle 3 \); \( \angle 2 \) and \( \angle 4 \)
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line jl and line km intersect at point h. find the three unknown angle …
129
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find the value of x. (see example 3) 14. there is a quadrilateral abcd …
\(x = 99\)
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find the value of x. 53° 44° 46° x° x = ?°
\( 127 \)
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find the value of x. 53° 44° 46° x° 360° x = ?°
# Explanation: ## Step1: Recall full angle sum A full angle (around a point) is \(360^\circ\), but here we have angles around a point? Wait, no, looking at the diagram, actually, …
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given: lines p and q are parallel and r is a transversal. prove: ∠2 ≅ ∠…
A. Angle 2 is congruent to angle 3 B. Angle 3 is congruent to angle 7
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what is the value of x? 25 (there is a diagram with two parallel lines …
\( x = 25 \)
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guided questions 1. what details about william’s death do we learn in t…
From Victor’s father’s letter (in *Frankenstein*), we learn William was **murdered (strangled)**, his body was found in the woods, and the family was deeply grieved by his death. …
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rectangle qrst is similar to rectangle abcd. identify the ratios for th…
\(\boldsymbol{\frac{21}{28}=\frac{12}{16}}\) (the last option: \(\frac{21}{28}=\frac{12}{16}\))
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10 in. 15 in. 36 in. 20 in. 18 in. 30 in. randee draws these two triang…
2 (Option: 2)
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proportions & scale factors quick check a board game uses a triangular …
\(\frac{1}{6}\) (Assuming the first option is \(\frac{1}{6}\), so the answer is the option with \(\frac{1}{6}\), e.g., if the first option is A. \(\frac{1}{6}\), then A. \(\frac{1…
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use the image to answer the question. △abc is similar to △def. find the…
\(\frac{1}{2}\)
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use the image to answer the question. (image of two rectangles: smaller…
1.8
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proportions & scale factors practice complete this assessment to review…
\( 0.1 \)
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determine the x- and y- intercepts for the graph defined by the given e…
a. \( x \)-intercept is \( (-9, 0) \) No \( y \)-intercept
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which ordered pair is shown on the graph? (\\(?\\), \\(\\ \\))
\((-3,0)\)
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which ordered pair is shown on the graph? (5, 3) (3, 5)
\((3, 5)\)
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helen is baking rolls for thanksgiving dinner. since sweet rolls are le…
The second diagram (the one with \( b \) as the top bar, 10 as the bottom bar, and 14 as the segment to reach \( b \)) ### Part 2: Which equation models the story?
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describe the similarity transformation that maps $\\triangle abc$ to $\…
C. rotation \( 180^\circ \) about the origin followed by a dilation with a scale factor of \( \frac{1}{3} \)
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given the figure below, find the values of x and z.
\(x=\frac{77}{15}\approx5.13\), \(z = 69^\circ\) (If we assume that \((15x - 8)^\circ\) and \(111^\circ\) are supplementary and \(z=(15x - 8)^\circ\)) Or if we made a mistake in t…
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find the perimeter of a triangle with sides 4 ft 6 in, 7 ft, and 5 ft 7…
17 ft 1 in
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find the perimeter of the figure. the perimeter is image of a square wi…
\(2.08\) miles
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the perimeter of a rectangular painting is 342 centimeters. if the widt…
The length of the rectangular painting is 93 centimeters.
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what is the measure of the angle of elevation from point l to point j? …
\( 37^{\circ} \) (corresponding to the option with \( 37^{\circ} \))
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what type of triangle is this? all triangles have an angle sum of 180°.…
A. Acute triangle
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what type of triangle is this? all triangles have an angle sum of 180°.…
B. Obtuse triangle
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8. * required each angle of a regular n - gon measures 172.8°. how many…
A 50 - gon
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7. * required the equation \\(\\frac{(n-2)180^{\\circ}}{n}\\) will give…
The measure of one angle in any Regular Polygon (the third option, assuming the options are ordered as: 1. The sum of the interior angles of a Polygon; 2. The measure of one angle…
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1. \\(\\bigcirc a = 2a + 4\\) \\(\\square b = \\frac{b + 6}{2}\\) find …
16
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question 1: explore polygon interior angle sums what is the interior an…
The interior angle sum for a convex octagon is \( 1080^{\circ} \). ### Question 6:
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question 5 5. for every triangle the interior angle sum is... 90° 180° …
\(180^\circ\) (the option with \(180^\circ\))
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4. select all that apply... an example of a regular polygon an isoscele…
An Equilateral Triangle, A Square, A Hexagon
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14. why is the sum of an exterior angle of a polygon and its adjacent i…
They are a linear pair.
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question 3 3. a polygon is many triangles a flat figure (no depth) any …
The correct option is the one labeled "Any closed shape with straight sides." (Assuming the option with this text is, for example, the second option from the left in the provided …
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13. how many non - overlapping triangles can this figure be divided int…
3 (corresponding to the option with value 3)
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13. how many non - overlapping triangles can this figure be divided int…
3 (corresponding to the option with 3)
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geometry 6-1: the polygon angle-sum theorems questions 1 & 2 1. interio…
The correct answer for "Interior means" should be "inside" (the original selection of "outside" is wrong; interior refers to the inside of the polygon, as interior angles are the …
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questions 1 & 2 1. interior means select inside outside 2. exterior mea…
inside ### Question 2
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geometry 6 - 1: the polygon angle - sum theorems how does the number of…
(Assuming typical options, e.g., if options were "Inside the polygon", "Outside the polygon", "On the vertex", the correct one would be) Inside the polygon (exact wording depends …
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the diameter of a circle is 6.8 feet. what is the circles circumference…
\( 21.36 \) feet
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the diameter of a circle is 24.6 miles. what is the circles circumferen…
\( 77.27 \)
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the diameter of a circle is 11.8 inches. what is the circles circumfere…
\( 37.07 \) inches
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the diameter of a circle is 16 kilometers. what is the circles circumfe…
50.27
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the diameter of a circle is 29.8 centimeters. what is the circles circu…
\( 93.60 \)
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grade 6 unit 7 georgia’s k-12 mathematics standards 3. a grocery store …
- Madison’s location: \( -3 \), distance: \( 3 \) blocks. - Gavin’s location: \( -5 \), distance: \( 5 \) blocks. - Gavin lives farther. Inequalities: \( 5 > 3 \), \( 3 < 5 \). ##…
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symbols of inequalities: compare at this time in your math career, you …
- Mary's location: \( 3 \), Julia's location: \( - 5 \) - Mary's distance: \( 3 \) blocks, Julia's distance: \( 5 \) blocks - Julia lives farther. - Inequalities: \( 5>3 \), \( 3 …
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6) $y = 4$
The line \( y = 4 \) is a horizontal line with a slope of \( 0 \) and a y - intercept of \( 4 \). If the question was to find the slope or y - intercept: - Slope: \( \boldsymbol{0…
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what compound inequality describes this graph? (number line with 1, 2, …
\( x < 3 \) or \( x \geq 4 \)
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given abcd is a parallelogram. prove: \\(\\overline{ab} \\cong \\overli…
To prove \( \overline{AB} \cong \overline{CD} \) and \( \overline{BC} \cong \overline{DA} \) in parallelogram \( ABCD \): ### Statements: 1. Draw diagonal \( AC \) in parallelogra…
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q t (9x - 6)° (8x - 1)° r s devin started the work shown to solve for t…
\( m\angle Q = 93^\circ \) \( m\angle R = 87^\circ \)
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using the supplementary consecutive angles theorem manuela is making a …
\(64^\circ\) (corresponding to the option "64°")
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given: abcd is a parallelogram. prove: ∠a ≅ ∠c and ∠b ≅ ∠d by the defin…
First blank (angle): D. \( \angle D \) Second blank (relationship): supplementary Transversal for \( \angle B \) and \( \angle C \): \( \overline{BC} \) Last blank (angle congruen…
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use the diagram to complete the statements. angles 1 and 5 are because …
s: - Angles 1 and 5 are \(\boldsymbol{congruent}\) because they are corresponding angles (formed by two parallel lines cut by a transversal). - Angles 4 and 6 are \(\boldsymbol{su…
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a weather balloon is 529 meters above the ground. two weather stations,…
The true statements are \( \boldsymbol{x>y} \), \( \boldsymbol{w = y} \), \( \boldsymbol{y < v} \) (i.e., the options with \( x>y \), \( w = y \), \( y < v \) are checked).
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a helicopter flies 665 feet above ground. what is the measure of the an…
67°
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a playground slide is 14.5 feet long with an 8.5 - foot tall ladder. wh…
36° (corresponding to the option: 36°)
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determining unknown angle measures of a right triangle determine the un…
$m\angle D = 46^\circ$, $m\angle F = 44^\circ$
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what is the measure of $\\angle r$ in $\\triangle pqr$? round to the ne…
$26^\circ$ (Option: $26^\circ$)
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use the diagram to complete the statements. the angle of depression fro…
1. The angle of depression from point \( R \) to point \( S \) is angle \( \boldsymbol{3} \). 2. The angle of elevation from point \( S \) to point \( R \) is angle \( \boldsymbol…
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use the diagram to complete the statements. the angle of depression fro…
The first dropdown: point Q to point R The second dropdown: (assuming the second dropdown is for the target, but since the target is R, maybe it's a mistake, but based on options,…
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plot the triangles, $\\triangle tuv$ and $\\triangle xuy$ with vertices…
$\triangle TUV \sim \triangle XUY$ (proven by SSS similarity with ratio $\frac{1}{2}$ for corresponding sides).
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find the following measurements. enter the exact answer or round to two…
Yes, by SAS
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direction. calculate the slope of the red portion of the line. two poin…
\( + 5\space m/s \) (corresponding to the option "+ 5 m/s")
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plot the triangles, △abc and △def with vertices a(-5, -2) b(-3, 4) c(1,…
$\triangle ABC \sim \triangle DEF$ (by SSS similarity as the ratios of corresponding sides \( \frac{AB}{DE}=\frac{BC}{EF}=\frac{AC}{DF}=\frac{2}{5} \))
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calculate the slope of the red portion of the line. two points on the l…
The slope of the red portion of the line (which represents velocity in a position - time graph) is \( 0\space m/s \). So the correct option is \( 0\space m/s \).
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plot the triangles, $\\triangle abc$ and $\\triangle def$ with vertices…
$\triangle ABC \sim \triangle DEF$ (by SSS similarity criterion as the ratios of corresponding sides $\frac{AB}{DE}=\frac{BC}{EF}=\frac{AC}{DF}=\frac{2}{5}$)
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the movement of the progress bar may be uneven because questions can be…
- \(8x < 24\) and \(-8 \leq 2x - 4\) matches the graph with closed circle at \(-2\) and open circle at \(3\) (middle graph in the right - hand column). - \(5x - 2 > 13\) or \(-4x …
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answer attempt 2 out of 2 a followed by a the two figures congruent bec…
To solve this problem, we analyze the transformations between the two figures (Figure T and Figure U) and their congruence: ### Step 1: Identify Transformations First, observe the…
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the figure below shows a rectangular field. (a) use the calculator to f…
Area: \( 2262 \) square yards Perimeter: \( 214 \) yards
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the perimeter of the triangle below is 42 units. find the length of sid…
14
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look at this angle: image of angle with vertex w and rays wy, wx name t…
\( \angle YWX \)
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is this angle acute, right, obtuse, or straight? options: acute, right,…
obtuse (corresponding to the "obtuse" option in the choices)
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look at this angle: image of angle with vertex w and rays wv, wu name t…
\( \angle VWU \) (or \( \angle W \) or \( \angle UW V \), but the most precise with the given points is \( \angle VWU \))
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hüseyin was able to map quadrilateral efgh onto rjgk using a vertical s…
C. There is no error. This is a correct conclusion.
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enter the correct answer in the box. write the function in vertex form …
\( \frac{1}{2}(x - 3)^2 - 3 \)
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refer to the right triangle. find c if a = 42 and b = 40. c = enter an …
\(58\)
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which pairs of figures below are congruent? images of figure pairs: cir…
- First pair (circles): No - Second pair (trapezoids): Yes - Third pair (triangles): No - Fourth pair (rectangles): No
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which pairs of figures below are congruent? grid with two circles (smal…
First pair (circles): No Second pair (triangles): No Third pair (L - shapes): Yes Fourth pair (rectangles): Yes
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finding a measure find the measure of each interior angle of the regula…
The measure of each interior angle of the regular triangle (yield sign) is \( 60^\circ \). ### Problem 18: Let's assume the polygon in the image is a regular \( n \)-gon (we need …
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question 11: standard g.gpe.5 use point slope form to solve for the equ…
a. \( y - 1=2(x - 1) \) ### Question 12
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question 6: standard g.gpe.5 what slope would a line have that is paral…
a. 2 ### Question 7
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question 1: standard g.gpe.5 what does \m\ stand for? a. height b. slop…
b. Slope ### Question 2
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question 12: standard g.gmd.1 the pennies have the same volume due to? …
d. Equal cross sectional areas and the same height
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question 9: standard g.gmd.1 what is cavalieris principle? a. cavalieri…
a. Cavalieri's principle states that two solids lying between parallel planes have equal heights and all cross sections at equal distances from their bases have equal areas, then …
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for questions 6-7 use this diagram question 6: standard g.gmd.1 if we w…
d. Rectangles ### Question 7
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exam 16 question 1: standard g.gmd.1 what is a limit? a. how much math …
c. When we approach a value but never touch it ### Question 2
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geometry question 9: standard g.gmd.4 a line or point is 1d, area is __…
c. 2D ### Question 10
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for questions 5-8 use the following diagram: diagram of a cylinder with…
a. Square ### Question 6
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exam 15 geometry question 1: standard g.gmd.4 what is the best definiti…
b. Slicing from left to right of a 3D shape to create a 2D cross section ### Question 2
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question 9: standard g.mg what is the volume of your lamp shade? a. 125…
d. Cylinder ### Question 11:
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question 5: standard g.mg.1 a cone shape might best model which of the …
c. Ice cream cone ### Question 6
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exam 14 question 1: standard g.mg.1 a sunglasses case can best be model…
d. Rectangular prism ### Question 2
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question 11: standard g.gmd.4 volume has cubic units (in³) and area has…
d. Squared units (\( \text{in}^2 \)) ### Question 12
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if an angle is bisected to form two new 25.6° angles, what was the meas…
\(51.2^\circ\)
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after bisecting an angle, laura has two new angles, each with a measure…
\(10^{\circ}\)
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question 6: standard g.gmd.3 spheres only need ___ to be able to find t…
a. Radius ### Question 7
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exam 13 question 1: standard g.gmd.3 volume is how many dimensions? a. …
c. 3 ### Question 2
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question 10: standard g.gpe.1 the equation of the circle seen in the gr…
d. \((x - 1)^2 + (y - 2)^2 = 4\) ### Question 11