幾何
三角形、圓、解析幾何與證明題。
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writing a two-column proof statements | reasons 1. ∠abc is rt. ∠ | 1. a…
2 times the measure of angle CBD = 90
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triangle knm is shown. what is true about the sides of knm? ○ ( kn = nm…
\( KN = NM \) (the first option: \( \boldsymbol{KN = NM} \))
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writing a two-column proof statements | reasons 1. ∠abc is rt. ∠ | 1. a…
A: given B: measure of angle ABC = 90 (For C, the reason is angle addition postulate; for D, the statement is $2m\angle CBD = 90^\circ$ and then division gives the final answer, b…
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completing a two-column proof statements\treasons 1. $\\angle abc$ is r…
A: given B: \(m\angle ABC = 90^\circ\) C: angle addition postulate (or related to \(\angle ABC\) being right angle) D: \(2m\angle CBD = 90^\circ\) (For the dropdowns: A is "given"…
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given: ∠abc is a right angle and ∠def is a right angle. prove: all righ…
- A: definition of right angle - B: definition of equal - C: definition of congruent
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given: ∠abc is a right angle and ∠def is a right angle. prove: all righ…
For Step B, the missing reason is "substitution property".
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point z is the incenter of δsrt. what is m∠ztb? 24° 31° 35° 62°
\( 31^\circ \) (corresponding to the option "31°")
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complete the paragraph proof. we are given that $overrightarrow{eb}$ bi…
angle addition postulate
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chang knows one side of a triangle is 13 cm. which set of two sides is …
8 cm and 9 cm
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complete the paragraph proof. we are given that $overrightarrow{eb}$ bi…
AEC
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identifying relationships from diagrams given: $overrightarrow{eb}$ bis…
First blank (measure of \( \angle CED \)): 90 Angle in the dropdown (related to \( \angle CED \) in \( \angle AED \)): \( \angle AEC \)
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if triangle rst is an acute triangle, then ( mangle s ) must be ○ less …
less than \(90^\circ\)
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write the coordinates of the vertices after a dilation with a scale fac…
The coordinates of the vertices after dilation are \( L'(-8, -4) \), \( M'(-8, 8) \), and \( N'(0, -8) \).
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the lengths of the sides of triangle xyz are written in terms of the va…
\( m\angle Y < m\angle Z < m\angle X \) (corresponding to the option \( m\angle Y < m\angle Z < m\angle X \))
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what is ( mangle abc )? ( \bigcirc mangle abc = 15^circ ) ( \bigcirc ma…
\(m\angle ABC = 60^\circ\) (corresponding to the option \(m\angle ABC = 60^\circ\))
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answer attempt 1 out of 2 (overline{rs}) is a segment bisector. (overli…
- $R$ is the midpoint of a segment in the diagram.
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point z is the circumcenter of δlmn. which must be true? ○ $overline{an…
\( \boldsymbol{\angle ZBM \cong \angle ZCM} \) (the last option)
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write the coordinates of the vertices after a dilation with a scale fac…
The coordinates of the vertices after dilation are \( E'(-8, -8) \), \( F'(4, -8) \), \( G'(4, 8) \), and \( H'(-8, 8) \).
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write the coordinates of the vertices after a dilation with a scale fac…
\( S'(-8, -4) \), \( T'(0, -4) \), \( U'(8, 8) \), \( V'(-8, 8) \)
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nigel and mia are searching for a treasure chest under water. the strai…
Mia is closer because her distance to the chest is opposite the smaller angle.
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write the coordinates of the vertices after a dilation with a scale fac…
The coordinates after dilation are \( G'(0, 5) \), \( F'(1, -2) \), \( E'(0, -5) \), \( H'(-1, -2) \).
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solve the right triangle. diagram: right triangle with right angle at c…
\(B = 55^\circ\ 21'\) \(a = 550\) m \(b = 797\) m
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write the coordinates of the vertices after a dilation with a scale fac…
The coordinates of the vertices after dilation are \( T'(-4, 1) \), \( U'(2, 1) \), \( V'(2, -5) \), and \( S'(-4, -5) \).
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which statements regarding the diagram of δebc are true? select three o…
- ∠DEC is an exterior angle. - ∠ABE and ∠EBC are supplementary angles. - ∠BEC is a remote interior angle to exterior ∠BCF.
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triangle jkl is isosceles. the measure of angle j is 72° and the measur…
Angle L is a base angle and measures \(72^\circ\) (the second option: Angle L is a base angle and measures \(72^\circ\)).
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18. true or false? if you needed to find out how much paint you needed …
False (and follow the coloring instruction for False: color the bottom green & the sky blue)
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17. true or false? if you needed to find out how much carpet you needed…
True
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16. true or false? if you wanted to build a fence around your garden, y…
True
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10 surface area is measured in what type of units? linear units cubic u…
C. Square units
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surface area and volume end-of-lesson test 8 which of the following is …
160 cm cubed
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7 what is the volume of a square pyramid with a height of 4 cm and a ba…
108 cubic cm
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6 what is the surface area of a rectangular prism whose length = 4 inch…
128 inches squared
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5 the surface area of a figure is ____. found by multiplying the areas …
the sum of the areas on all the sides
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15. using the rectangle from question 13, if a=3 yd and the area is 24 …
a. 8 yd
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4 what is the volume of a cube with a side length of 7 inches? 294 cubi…
343 cubic inches
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answer attempt 1 out of 2 u is the vertex of two angles that are congru…
U is the midpoint of a segment in the diagram.
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3 what is the surface area of a cylinder with a radius of 2 inches and …
176 inches squared
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2 what is the surface area of a cube with a side length of 10 inches? 6…
600 inches squared
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1 find the volume of a cylinder with a radius of 6 m and a height of 20…
2261 m cubed
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lesson 8: surface area and volume 8: surface area and volume surface ar…
b. 2261 m cubed
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lesson 8: surface area and volume cylinder surface area and volume form…
d. 176 inches squared
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14. using the rectangle in question 13, if a=10 ft and the perimeter is…
\( b = 15 \) ft
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lesson 8: surface area and volume square pyramid surface area and volum…
d. 108 cubic cm
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lesson 8: surface area and volume rectangular prism surface area and vo…
b. 1170 cubic centimeters
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lesson 8: surface area and volume rectangular prism surface area and vo…
b. 128 inches squared
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lesson 8: surface area and volume cube surface area and volume formulas…
b. 343 cubic inches
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lesson 8: surface area and volume cube surface area and volume formulas…
a. 600 inches squared
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lesson 8: surface area and volume surface area and volume the surface a…
b. the sum of the areas on all the sides
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depending on the day of the week, a local gas station charges greater t…
The correct graph should have an open circle at 25 (since \( 25 < w \)) and a closed circle at 55 (since \( w \leq 55 \)), with the line segment between them. So the first graph (…
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answer the questions. he struggled up to the surface and tried to cry o…
b. The fading hope of survival
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10 which of the following is the perimeter of a triangle with side leng…
28 inches
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10 which of the following is the perimeter of a triangle with side leng…
76 inches (assuming the options include 76 inches; since the image's options are partially visible, but the calculation gives 76 as the perimeter of a triangle with sides 24, 19, …
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9 which of the following is the length of the missing side in the illus…
4 cm (corresponding to the option "4 cm")
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8 using the pythagorean theorem, calculate the hypotenuse of a right tr…
18.02 cm
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using the pythagorean theorem, calculate the hypotenuse of a right tria…
30.3 cm (assuming a possible typo in leg length, likely 30 cm instead of 15 cm for the second leg)
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triangles end-of-lesson test 7 which of the following formulas is used …
B. \(A = 1/2 * b * h\)
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6 which of the following is the length of the missing side in the illus…
5 cm
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triangles end-of-lesson test 5 an equilateral triangle has ____ - no eq…
The correct option is "all three sides the same length" (the second option in the list of choices for question 5).
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4 a triangle with an angle equal to 110 degrees is known as which of th…
D. Obtuse Triangle
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3 a scalene triangle has ____ no sides equal in length two equal angles…
A. no sides equal in length
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2 which of the following is a triangle that has a 90 degree angle and t…
D. Right triangle
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triangles end-of-lesson test 1 a 50 degrees angle creates lines that ar…
False
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lesson 7: triangles area of triangles find the area of a triangle with …
c. 45 inches squared
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marcus goes down 6 waterslides. hailey goes down 4 fewer waterslides th…
2
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practice: more comparison word problems marcus goes down 6 waterslides.…
Hailey goes down 2 waterslides. ### Now, determine the correct model:
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kara mails 8 letters. alex mails 6 fewer letters than kara. how many le…
\(2 + 6 = 8\) (or \(6 + 2 = 8\))
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lesson 7: triangles pythagorean theorem which of the following is the l…
d. 5 cm
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select the correct answer. which number line shows the solution to this…
First, solve each inequality: 1. For \( 3x - 5>1 \): - Add 5 to both sides: \( 3x>1 + 5=6 \) - Divide by 3: \( x > 2 \) (open circle at \( x = 2 \), arrow to the right) 2. For \( …
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lesson 7: triangles pythagorean theorem which of the following is the l…
b. 4 cm
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mia sees 7 frogs at a pond. audrey sees 5 fewer frogs than mia. how man…
2
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lesson 7: triangles classifying triangles by angle measurement by defin…
c. one angle equal to 90 degrees
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lesson 7: triangles classifying triangles by angle measurement by defin…
b. one angle greater than 90 degrees
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a. 19 36 ? 81 b. how many triangles? c. 9 4 8 10 11 13 17 ?
s: - Part A: If we consider the square roots, $\sqrt{36}=6$, $\sqrt{81}=9$, and if we assume the missing number is $6\times9 = 54$ (or if we consider the sum $6 + 9 = 15$, but the…
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lesson 7: triangles classifying triangles by angle measurement by defin…
b. all angles less than 90 degrees
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in the triangles, hg = mp and gk = pn. which statement about the sides …
\( m\angle G>m\angle P \) (the first option)
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a spinner (circle) divided into 8 equal parts, labeled with numbers: 9,…
12
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jace is making a water play table from a triangular table top. he sketc…
He should bisect each of the angles at the vertices of the triangular table top.
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lesson 7: triangles ng triangles by side length elene triangle has ____…
b. no sides equal in length
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lesson 7: triangles classifying triangles by side length an equilateral…
D. all three sides the same length
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in triangle dfe, kj = 50 units. what is the length of segment ek? 25 un…
50 units (Option: 50 units)
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lesson 7: triangles classifying triangles by side length an isosceles t…
d. two sides equal in length
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consider the triangle shown. which shows the sides in order from longes…
$\boldsymbol{\overline{RQ},\overline{PQ},\overline{RP}}$ (corresponding to the option $\boldsymbol{\overline{RQ},\overline{PQ},\overline{RP}}$)
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equilateral triangle abc has a perimeter of 96 millimeters. a perpendic…
16 mm (corresponding to the first option: 16 mm)
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point z is equidistant from the vertices of δtuv. which must be true? (…
\(\boldsymbol{\angle TZA \cong \angle TZB}\) (the fourth option, \(\angle TZA \cong \angle TZB\))
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which pair of angles is supplementary? ∠rxz and ∠yxz ∠pxq and ∠rxs ∠yzx…
\(\boldsymbol{\angle PXQ}\) and \(\boldsymbol{\angle RXS}\) (the second option: \(\boldsymbol{\angle PXQ}\) and \(\boldsymbol{\angle RXS}\))
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what is the value of h? (3h + 18)° (15h)° ○ h = 1.5 ○ h = 9 ○ h = 10 ○ …
\(h = 9\) (corresponding to the option \(h = 9\))
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a triangle has side lengths measuring 2x + 2 ft, x + 3 ft, and n ft. wh…
\( x - 1 < n < 3x + 5 \) (corresponding to the first option)
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in triangle qrs, qr = 8 and rs = 5. which expresses all possible length…
\(3 < QS < 13\) (the last option: \(3 < QS < 13\))
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in the triangles, \\(\\overline{bc} \\cong \\overline{rs}\\) and \\(\\o…
$\boldsymbol{m\angle C < m\angle S}$ (corresponding option: the one with $m\angle C < m\angle S$)
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what is m∠abc? ○ m∠abc = 60° ○ m∠abc = 67° ○ m∠abc = 120° ○ m∠abc = 127°
\(m\angle ABC = 127^\circ\) (the option: \(m\angle ABC = 127^\circ\))
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which new angle is created by extending one side of a triangle? ○ a rem…
C. an exterior angle
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consider the triangle. image of triangle with vertices a (top), c (bott…
\(m\angle A = 32^{\circ}, m\angle B = 53^{\circ}, m\angle C = 95^{\circ}\) (corresponding to the option \(m\angle A = 32^{\circ}, m\angle B = 53^{\circ}, m\angle C = 95^{\circ}\))
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in the diagram, which must be true for point p to be the centroid of th…
C. \( JM = ML \), \( LO = OK \), and \( KN = NJ \) (assuming the third option is labeled C; if the original options have different labels, adjust the label but keep the descriptio…
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(from unit 1, lesson 4.) 7. here are 2 points in the plane. explain how…
To construct a line segment half the length of \( AB \): 1. Draw segment \( AB \). 2. Find its midpoint \( M \) (e.g., via perpendicular bisector or measurement). Then \( AM \) (o…
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spaced practice board 7. use a strategy to solve- 64 × 32 = 8. find the…
\(2048\) ### Question 8: To find the volume of the rectangular prism (the cube - like structure with layers), we can count the number of unit cubes along each dimension. From the …
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what value of n would make point a the circumcenter? 2 3 4 5
3 (corresponding to the option "3")
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point z is the incenter of triangle rst. what is the value of x? x=2 x=…
\( x = 5 \) (corresponding to the option "x = 5")
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point y is the circumcenter of triangle def. which statement is true ab…
D. Point Y is the center of the circle that passes through points D, E, and F.
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the figure shows a circle inscribed in a triangle. to construct the ins…
Segments perpendicular to the sides of the triangle through the intersection of the angle bisectors were constructed.
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3. bethany drew a model of a rectangular prism that has 6 layers with 1…
108