幾何
三角形、円、座標幾何、証明問題。
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is there a rigid transformation that would map δabc to δdec? yes, a ref…
yes, a rotation about point C
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no additional details were added for this assignment. what is the measu…
\( 90^\circ \)
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no additional details were added for this assignment. what is the measu…
\( 30.4 \)
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what additional information would be needed to prove that the triangles…
D. \( \angle LNO\cong\angle LNM\)
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using transformations to prove congruence is there a rigid transformati…
C. yes, because a reflection across \( \overline{BA} \) will map \( \triangle ABC \) to \( \triangle ABD \)
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why did the queen have the king measure the rug? circle the letter of e…
\( x = 5 \), \( AB = 65 \), \( BC = 30 \) ### Problem 2
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in exercises 9–11, sketch the figure described. 9. plane a and line $ov…
The geometric figure modeled by the intersection of a tripod to the ground is a triangle (or three non - collinear points that define a plane). The three legs of the tripod meet t…
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a point that is not coplanar with plane a. in exercises 9–11, sketch th…
The graph of \( x \geq 2 \) on a number line has a closed circle at 2 and an arrow to the right. The graph is a ray. ### Question 14: \( -4 < x < 4 \)
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the plane that contains points a, b, and g. plane c in exercises 5–8, u…
\( \overrightarrow{EG} \) and \( \overrightarrow{EF} \) (or \( \overrightarrow{EC} \) and \( \overrightarrow{ED} \)) ### Question 6
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extra practice in exercises 1–4, use the diagram. 1. name three points.…
The greatest number of intersection points that two planes can have is infinitely many (because two non - parallel planes intersect in a line, which contains infinitely many point…
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which shape is a sphere?
The yellow round shape (the left - hand shape) is a sphere.
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new vocabulary: • ______: formed when two rays share the same endpoint.…
- \(\boldsymbol{\text{Angle}}\): Formed when two rays share the same endpoint. The shared endpoint is called the vertex of the angle. - \(\boldsymbol{\text{Congruent}}\): Two figu…
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sanji has a square room with a perimeter of 42.5 feet. if she wants to …
B. 10.625 ft
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a. sketch the graph of the following inequality. ( y > -2x + 5 ) b. cir…
(Part b): The ordered pairs that are solutions are: i. \( (6, 0) \) iv. \( (7, 5) \) (For Part a, the graph should have a dashed line through \( (0, 5) \) and \( (2, 1) \) (or oth…
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complete the sentences to describe angle qhj. angles pqr and qhj are ⓐ …
for the measure: \(60\)
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city engineering seventh avenue runs perpendicular to 1st and 2nd stree…
$65^\circ$
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ramps a parking garage ramp rises to connect two horizontal levels of a…
$170^\circ$
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compare reading poems to hearing poems supported practice in the video …
s (select the circle under Rhythm/Rhyme for each): - A: Rhythm (circle under Rhythm) - B: Rhythm (circle under Rhythm) - C: Rhythm (circle under Rhythm) - D: Rhyme (circle under R…
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enter the perimeter.
16 cm
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find perimeter by measuring lengths supported practice enter the perime…
32
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enter the perimeter.
32
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enter the perimeter.
32
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identifying area formulas match each shape with its area formula. shape…
- square: \( A = s^2 \) - triangle: \( A=\frac{1}{2}bh \) - parallelogram: \( A = bh \) - rectangle: \( A = lw \)
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34. the area of the surface of the swimming pool is 210 square feet. wh…
The length of the deep end is 12 feet.
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practice & problem solving leveled practice in 14-25, find each quotien…
\( 1\frac{3}{4} \) (or \( \frac{7}{4} \))
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polygon abcd reflects about line mn to make polygon efgh. what is the l…
D. 2 units
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i. ( mangle b = mangle f ), ii. ( bc = fg ), iii. ( mangle a = mangle e…
A. i or iv only
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16 the longest side of a right triangle is called which of the followin…
D. Hypotenuse
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select the correct answer. based only on the facts in the diagram, whic…
A. SAS
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15 the sum of all three interior angles of a triangle is always equal t…
180 degrees
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select the correct answer. a building has a triangular rooftop terrace …
C. \(\overline{AC}\)
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14 which of the following is true about the circumference of a circle i…
It will double.
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select the correct answer. how does the figure help verify the triangle…
C. by showing that a triangle cannot be formed when the sum of the lengths of two sides is less than the length of the third side
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mat 102: test - general math 13 which of the following is the circumfer…
The distance around the circle
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12 changing the dimensions of a quadrilateral does not affect the perim…
False
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11 the amount of space inside a shape is called which of the following?…
A. Area
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mat 102: test - general math 10 which of the following is a quadrilater…
Trapezoid (the option labeled "Trapezoid" among the choices)
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9 what is the complementary angle to an angle that has 64 degrees? 64 d…
26 degrees (corresponding to the option with 26 degrees, e.g., if the options are labeled, it would be the option like "26 degrees" among the choices)
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figure 1 has been transformed to produce figure 2. which notation descr…
B. \((x', y') = (x - 9, y + 2)\)
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consider triangles pqr, mno, and stu, which have resulted from rotating…
Triangle XYZ is congruent to triangle PQR by \(\text{AAS (or ASA)}\); Triangle XYZ is congruent to triangle MNO by \(\text{SSS}\); Triangle XYZ is congruent to triangle STU by \(\…
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state the theorem or postulate that is related to each angle pair then …
(Problem 12): \(x = 4\), \(m\angle3=103^\circ\), \(m\angle4 = 77^\circ\) ### Problem 13:
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11. find all the missing angles ∠1 ∠2 ∠3 ∠4 ∠5 ∠6 ∠7 (diagram with 120°…
\( \angle 1 = 60^\circ \), \( \angle 2 = 120^\circ \), \( \angle 3 = 60^\circ \), \( \angle 4 = 120^\circ \), \( \angle 5 = 60^\circ \), \( \angle 6 = 120^\circ \), \( \angle 7 = …
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select the correct answer from each drop-down menu. why are triangles a…
reflecting; across line segment AD
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find x. 8. (x + 15)° 90° x =
75
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select the correct answer from each drop-down menu. why are triangles a…
First dropdown: reflecting; Second action: reflecting (or the transformation is reflection over \(AD\) to map \( \triangle ADC \) to \( \triangle ADB \))
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find x. 8. (x + 15)° 90° x = 105
# Explanation: ## Step1: Identify angle relationship The angle \((x + 15)^\circ\) and \(90^\circ\) are supplementary? No, wait, actually, looking at the intersecting lines, the an…
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9. diagram: two parallel lines cut by a transversal, with one angle lab…
150
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find x. 8. (x - 15)° 90° x =
\(105\)
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solve for m∠hij if m∠hik = 94° and m∠kij = 48°.
\( 142 \)
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in the diagram, δgef and δhef are congruent. what is the value of x? a.…
C. 28
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which criterion, if any, could prove the triangles are congruent? a. as…
C. HL
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if $\\triangle abc \\cong \\triangle dec$, what is the value of $x$?\ a…
D. \(x = 1\)
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select the correct answer from each drop-down menu. given: (overline{gh…
SSS
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solve for m∠def if m∠deg = 36° and m∠gef = 35°.
\( 71 \)
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question 5 of 5 select the correct answer from each drop - down menu. g…
reflexive property of congruence
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solve for m∠kln if m∠klm = 114° and m∠nlm = 55°. answer attempt 1 out o…
\( 59 \)
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solve for m∠qrs.
\(87^\circ\)
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select the correct answer. the two triangles shown are congruent by the…
\(x = 4\) and \(y = 3\)（对应选项：x = 4 and y = 3）
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question 3 of 5 select the correct answer from each drop-down menu. con…
- A pair of triangles that are congruent by the ASA criterion is triangles B and F. - A pair of triangles that are congruent by the SAS criterion is triangle D and T.
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3. solve the formula for m. y = mx + b options: a. m = y - (x + b) b. m…
\( m=\frac{y - b}{x} \) (corresponding to option b if the options are as per the image context) ### Question 4: Solve \( -10x + 2y = 4 \) for \( y \)
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question 3 of 5 select the correct answer from each drop - down menu. c…
For the ASA criterion: triangles B and F For the SAS criterion: triangles D and F
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6. the formula ( d = rt ) can be used to show the relationship between …
\( t=\frac{d}{r} \) ### Problem 9a: Solve \( A = 3r^{2} \) for \( r \) (assuming this is a typo and should be \( A=\pi r^{2} \) for the area of a circle, we will solve \( A = 3r^{…
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question 2 of 5 select all the correct answers. which two additional co…
- Sides \(AB\) and \(RT\) are congruent - Sides \(ST\) and \(CB\) are congruent
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select all the correct triangles. which triangles are congruent to △abc…
Triangle Q, Triangle R
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select all the correct answers. claire, amy, and becky are at an art sh…
12 ft, 15 ft, 20 ft (the corresponding checkboxes should be selected)
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select the correct answer from each drop-down menu. in triangle abc, m∠…
\(AC\), \(AB\), \(BC\)
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select the correct answer from each drop-down menu. how does the figure…
First drop - down: equals; Second drop - down: never meet (or only meet if they lie on the third side); Last drop - down: sum
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select the correct answer from each drop-down menu. how does the figure…
First drop - down: sum to (or "add up to" - but more precisely, in the context, the two sides with lengths 6 and 3 will "sum to" a value equal to the third side length, violating …
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drag the tiles to the correct boxes to complete the pairs. not all tile…
shortest side → AB longest side → BC smallest angle → ∠C largest angle → ∠A
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which inequality represents the values of x that ensure triangle abc ex…
A. \(\frac{7}{4} < x < \frac{11}{2}\)
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point d is on line segment \\(\\overline{ce}\\). given \\(de = x + 2\\)…
12
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point k is on line segment \\(\\overline{jl}\\). given \\(jl = 4x + 2\\…
6
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point q is on line segment \\(\\overline{pr}\\). given \\(qr = 3x\\), \…
16
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point i is on line segment \\(\\overline{hj}\\). given \\(hi = 2x\\), \…
10
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point h is on line segment (overline{gi}). given (gh = x + 6), (hi = x …
\( 9 \)
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6. darius is building a square launch pad for a rocket project. if the …
The side length of the square launch pad is \( 11 \) centimeters.
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perimeter the perimeter of stephanie’s triangle is half the perimeter o…
$\frac{5 + 8 + 12}{2}$
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line a ∥ line b line b ⊥ line d coordinates: d(1, 6), (-1, 4), (5, 6), …
To determine the slopes and verify parallelism/perpendicularity, we calculate the slope \( m = \frac{y_2 - y_1}{x_2 - x_1} \) for each line: ### Step 1: Slope of Line \( a \) Poin…
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point f is on line segment (overline{eg}). given (fg = 5) and (ef = 14)…
The length of \( \overline{EG} \) is \( 19 \).
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point c is on line segment \\(overline{bd}\\). given \\(cd = 5\\) and \…
The length of \(\overline{BD}\) is \(9\).
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a transformation that moves a figure in a straight line without changin…
translation ### 2. Second Question
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a transformation that moves a figure in a straight line without changin…
translation ### 2. Second Question
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for a point at (2, -3), which new coordinates could it have after a seq…
b. (-2, -3) ### Second Question:
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1. a sequence involving moving a figure vertically and horizontally wit…
d. Pure translation ### Second Question:
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which transformations do not alter the orientation of a figure? a. tran…
a. Translation, c. Rotation ### Second Question:
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point j is on line segment (overline{ik}). given (jk = 5) and (ij = 10)…
The length of \( \overline{IK} \) is \( 15 \).
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segment addition / subtraction (numbers) unique id: 0535 score: 6/10 pe…
\( LN = 16 \)
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segment addition / subtraction (numbers) unique id: 0534 score: 5/10 pe…
\( 12 \)
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segment addition / subtraction (numbers) unique id 0533 score 4/10 pena…
\( 4 \)
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segment addition / subtraction (numbers) unique id: 0532 score: 3/10 pe…
\( 20 \)
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19.4 special problems with subjects (subjects in orders, directions, an…
### Exercise 1 Solutions: 1. **Sentence**: Turn right at the traffic light near the mall. - Verb: Turn - Subject: you (implied, as it's a direction) - Answer: you 2. **Sentence**:…
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what combination of transformations is shown below?
The combination of transformations shown is a rotation (e.g., 90° clockwise) followed by a translation (or a translation and a rotation, depending on the order). (Note: The specif…
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segment addition / subtraction (numbers) unique id: 0531 score: 2/10 pe…
\( 5 \)
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point u is on line segment (overline{tv}). given (tv = 19) and (uv = 15…
\( 4 \)
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pieter de hooch used squares and rectangles as the underlying design of…
A. unify the image.
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look at this shape: grid with yellow shape which image shows a reflecti…
C (the third image, labeled C)
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look at this shape: which image shows a reflection? a b c
C
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look at this shape: image of a green l - shaped figure on a grid which …
C
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look at this shape: which image shows a translation? a b c
B. The image labeled B
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question given ( m parallel n ), find the value of ( x ). angles: ( (9x…
\( x = 18 \)