Geometrie
Dreiecke, Kreise, Koordinatengeometrie und Beweisaufgaben.
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question 16 of 50 the dilation is an example of: a reduction. an enlarg…
a reduction
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question 14 of 50 the value of x is: diagram of a triangle with segment…
20
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now, record the coordinates of the points in the image, a and b. origin…
\( A' \): \( (6, 1) \) \( B' \): \( (7, 6) \)
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question 13 of 50 if the dilation is given: triangle abc → triangle abc…
2 (the option with "2" as the text, likely the middle option in the original choices)
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question 12 of 50 the value of y is: triangle diagram with segments 10,…
14 (and the option corresponding to 14, e.g., if the option is labeled as "14", then the answer is the option with 14. From the given options, it's the option with "14".)
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question 11 of 50 geometric mean is used to determine the scale of obje…
False
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question 8 of 50 a blueprint shows 1\ = 10 if the width of a closet on …
5' (the option with 5')
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question 7 of 50 the triangles are similar by: triangle with sides labe…
the SSS similarity theorem
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question 6 of 50 if triangle red has vertices r(0, 0), e(-3, 4), and d(…
R' (0, 0) (the option with text "R' (0, 0)")
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question 5 of 50 if three parallel lines intersect two transversals, th…
A. True
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question 2 of 50 the scale factor of an object is the ratio of the leng…
True (the option with "True" text)
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question 1 of 50 what is the value of a? diagram of parallel lines and …
31.6
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in triangle acd, what is the value of x? options: 7.5, 8, 10, none of t…
\( 7.5 \)
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if \\(\\overline{am} = 21\\), \\(\\overline{mb} = 9\\), \\(\\overline{a…
SAS similarity theorem (the option: SAS similarity theorem)
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the triangles below are similar because of the. aa similarity postulate…
SAS similarity theorem
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if triangle abc ~ triangle edc, then the value of x is diagram of trian…
\( 8 \)
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the triangles are similar by: aa similarly postulate sss similarity the…
AA similarity postulate
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the triangles below are similar because of the aa similarity postulate.…
A. AA similarity postulate
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if $\\triangle abc \\sim \\triangle amn$ and $am = 6$, $mb = 4$, $an = …
13.3
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if $\\triangle abc \\sim \\triangle amn$ and $am = 6$, $mb = 4$, $an = …
\( \frac{16}{3}\) (or approximately \( 5.3 \))
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what is the scale factor of the two triangles below? diagram of two tri…
\( \frac{4}{3} \) (or check options, if one of the options is \( \frac{4}{3} \) or similar, but from the visible options, if "4/3" is an option, that's it. If the options are like…
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the measures of all of the interior angles of a triangle are in the ext…
30 degrees (corresponding to the option "30 degrees")
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9 is the geometric mean between 4 and which other number? 20.25 81 9 no…
20.25 (corresponding to the first option with the dotted circle, so the option is "20.25")
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quiz 4: proportions what is the value of x in the figure below? figure …
4.5
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if jl = 30, jk = 18, and lm = 6, then the value of ln is. 3 6 9 15
15
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quiz 4: proport if ab = 35, bc = 15, and ef = 60, then the value of de …
140
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quiz 4: p the value of m is: 14, 18, 20, 28 (with a diagram of parallel…
28
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quiz 4: propor the value of x is: 3 5 9 12
9
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what is the value of x in the figure below? triangle figure with segmen…
3.5
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quiz 3 g x y 10 25 15 k 6 a 12 b the triangles are similar by the sss s…
The SAS similarity theorem (the option with "the SAS similarity theorem")
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if $\\triangle gyk \\sim \\triangle bak$, then the value of $x$ is. 10 …
20
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quiz is \\(\\triangle gyk\\) similar to \\(\\triangle bak\\)? \\(box\\)…
Yes
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solve the following system of equations graphically on the set of axes …
The solution to the system of equations is \( x = 5,y = 2 \) (or the point \( (5,2) \))
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the triangles are similar by the sss similarity theorem the sas similar…
the SSS similarity theorem
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the triangles are similar by: the sss similarity theorem. the sas simil…
the SAS similarity theorem (the option with "the SAS similarity theorem")
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are the two triangles similar? yes no
Yes (the option "Yes" should be selected)
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a circle has a radius of 7. what is the circumference? (use π = 22/7) a…
B) 44
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5 the area of $\\triangle abc$ in the figure on the right is $24\\ \\ma…
12 cm² 4 cm² 8 cm²
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a) in the figure shown, ∠4 is an exterior angle. a) what is another way…
\( 120 \)
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consider the line $y = 7x - 6$. find the equation of the line that is p…
Equation of parallel line: \( y = 7x - 37 \) Equation of perpendicular line: \( y=-\frac{1}{7}x-\frac{9}{7} \)
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in the figure shown, ∠4 is an exterior angle. what is another way ∠3 an…
\(60\)
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consider the line 6x + 2y = -1. find the equation of the line that is p…
Equation of perpendicular line: \(y=\frac{1}{3}x+\frac{11}{3}\) (or \(x - 3y=-11\)) Equation of parallel line: \(y=-3x-23\)
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in the figure shown, ∠4 is an exterior angle. which interior angle is a…
Angles 3 and 4 form a linear pair. \(m\angle3 + m\angle4 = 180^\circ\)
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4 the area of $\\triangle abc$ in the figure on the right is $40\\ \\ma…
Problem4: ΔABD:ΔADC=2:3 ΔABD:ΔABC=2:5 ΔABD=40×2/5=16 cm² Problem5: (1)12 cm² (2)4 cm² (3)8 cm²
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in the figure shown, ∠4 is an exterior angle. why do you think the term…
A. Exterior means "outside," and ∠4 faces outside the triangle.
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4 the area of $\\triangle abc$ in the figure on the right is $40\\ \\ma…
12 4 8
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what is the value of x? x = triangle with angles 80°, x°, x°
50
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which equation can you use to find the value of x? x + 30 + 105 = 180 f…
\(45\)
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find the slope of the line that passes through (66, 28) and (48, 100). …
\(-4\)
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which equation can you use to find the value of x? x = 105 + 30 x + 30 …
\(x + 30 + 105 = 180\)
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which equation can you use to find the value of x? x = 105 + 30 x + 30 …
\(x + 30 + 105 = 180\) (the second option: \(x + 30 + 105 = 180\))
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find the slope of the line that passes through (8, 28) and (92, -6). si…
\(-\frac{17}{42}\)
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find the slope of the line that passes through (1, 3) and (6, 1). simpl…
\(-\frac{2}{5}\)
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the figure shown is a triangle with three unknown angles. to find out i…
\( 180^\circ \)
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find the slope of the line that passes through (9, 3) and (2, 7). simpl…
\(-\frac{4}{7}\)
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find the slope of the line that passes through (3, 2) and (5, 1). simpl…
\( -\frac{1}{2} \)
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1 in the figure on the right, place points a and p on line ℓ and points…
1(1) Rectangle 1(2) 8 cm 1(3) 8 cm 1(4) △ABC: 40 cm²; △PBC:40 cm² 2(1) △ABC:9 cm²; △DEF:18 cm² 2(2) 1:2 2(3) △ABC:24 cm²; △DEF:36 cm² 2(4) 2:3
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what is the length of ef? 3.8 2.4 1.2 0.5
3.8
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find the slope of the line that passes through (3, 11) and (10, 6). sim…
\(-\frac{5}{7}\)
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find the slope of the line that passes through (2, 4) and (10, 7). simp…
\(\frac{3}{8}\)
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what is the length of ac in the given triangle? (image of triangle with…
126.8
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find the values of x and y x = y =
\(x = 55\), \(y = 70\)
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find the slope of the line that passes through (4, 8) and (8, 5). simpl…
\(-\frac{3}{4}\)
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quiz 1: trigonometric ratios, identities, and functions which of the fo…
A. \(13, 13\sqrt{3}, 26\) (assuming the first option is labeled A, with the text \(13, 13\sqrt{3}, 26\))
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use the given information to prove that $\\triangle abc \\cong \\triang…
$\triangle ABC \cong \triangle ADC$ (proven by AAS congruence: $\angle BAC \cong \angle DAC$, $\angle ACB \cong \angle ACD$, $AC \cong AC$)
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quiz 3: similar triangle a m n b c given ∠amn = 45° and ∠abc = 45°, the…
the AA similarity postulate.
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the figure shown is a triangle with three unknown angles. to find out i…
$m\angle 5$ (or specifically, $m\angle 2 = m\angle 5$)
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quiz 3: similar trian r t 110° 28° 42° d 28° e n a are the two triangle…
Yes
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to find out if the sum of the three interior angle measures of any tria…
\( m\angle 4 \)
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to find out if the sum of the three interior angle measures of any tria…
\( m\angle 4 \) (assuming the angle equal to \( \angle 1 \) is \( \angle 4 \); the exact angle label depends on the diagram, but based on the setup, \( \angle 4 \) is the angle wi…
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the figure shown is a triangle with three unknown angles. first, write …
\(m\angle1 + m\angle2 + m\angle3\)
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the figure below is an isosceles triangle. what is the sum of the angle…
For the isosceles triangle: \(180^\circ\) For the equilateral triangle: \(180^\circ\)
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the figure below is an isosceles triangle. what is the sum of the angle…
\(180\)
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the figure shows a pair of parallel lines cut by a transversal. which t…
∠4, ∠6, ∠8 ### Sub - question 2: What argument can you make to explain why m∠2 = m∠8? Complete the statement. When a transversal cuts parallel lines, the? angles are congruent.
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the figure shows a pair of parallel lines cut by a transversal. which t…
For the first question (three angles congruent to $\angle 2$): $\angle 4$, $\angle 6$, $\angle 8$. For the second question (why $m\angle 2 = m\angle 8$): When a transversal cuts p…
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∠gjk ≅ ∠hji, ¯¯gk ⊥ ¯¯gj, ¯¯hj ⊥ ¯¯ji, and ¯¯gk ≅ ¯¯hj. complete the pr…
To complete the proof: 1. **Reason for \( \angle GJK \cong \angle HJI \)**: Given 2. **Reason for \( \overline{GK} \perp \overline{KJ} \), \( \overline{HI} \perp \overline{JI} \)*…
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what is the value of ( x )? ( x = square ) (there is a diagram with two…
\(75\)
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the figure shows a transversal that intersects two parallel lines. none…
\(\angle 8\)
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in which figure do $\\angle 1$ and $\\angle 2$ represent a pair of alte…
The Top - Left Figure (the first figure in the top - left corner of the four - figure grid)
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in which figure is $\\angle 1$ congruent to $\\angle 2$?
The top - right figure (the second figure in the top row)
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complete the proof that $\\triangle txz \\cong \\triangle vyw$. (image …
Statement: $\triangle TXZ \cong \triangle VYW$; Reason: AAS (Angle - Angle - Side) Congruence Criterion
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fj bisects ∠gik and ∠hfj. complete the proof that (overline{hi} cong ov…
To complete the proof: 1. Reason: Definition of Angle Bisector 2. Reason: Definition of Angle Bisector 3. Reason: Definition of Angle Bisector (from 1, \( \overrightarrow{FI} \) b…
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\\begin{cases} x - y = 7 \\\\ x - y = -4 \\end{cases}
The system of equations \(\begin{cases}x - y = 7\\x - y=-4\end{cases}\) has no solution because the two lines represented by the equations are parallel (they have the same slope \…
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vw ≅ yz, ∠vuz ≅ ∠wxy, and ∠uzv ≅ ∠wyx. complete the proof that xy ≅ uz.…
The completed proof with reasons is as follows: | Statement | Reason | | --- | --- | | 1. \( \overline{VW} \cong \overline{YZ} \) | Given | | 2. \( \angle VUZ \cong \angle WXY \) …
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△stw and △uvw are equilateral. complete the proof that \\(\\overline{tu…
1. Given 2. Given 3. All sides of an equilateral triangle are congruent 4. All sides of an equilateral triangle are congruent 5. $\angle SWV$ and $\angle TWU$ are each $60^\circ +…
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what is the slope of this line? simplify your answer and write it as a …
\(-3\)
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what is the slope of this line? simplify your answer and write it as a …
\(-\frac{3}{8}\)
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$\\overline{rs} \\parallel \\overline{tu}$ and $\\overline{tu} \\cong \…
1. Reason: Given 2. Reason: Given 3. Reason: Alternate Interior Angles Theorem 4. Reason: Reflexive Property of Congruence 5. Reason: SAS Congruence Postulate 6. Reason: CPCTC
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the measure of central angle rst is 180 degrees. what is the area of th…
8π cm² (assuming the first option is "8π cm²", so the correct option is the one with 8π cm², e.g., if options are labeled A: 8π cm², B: 16π cm², C: 18π cm², D: 32π cm², then the a…
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complete the proof that ∠s ≅ ∠q. (image of a geometric figure with tria…
- For Statement 5: Additive Property of Length - For Statement 12: Transitive Property of Equality
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solve the system of equations \\(\\begin{cases} 2x - 6y = 30 \\\\ y = \…
The system of equations \(\begin{cases}2x - 6y=30\\y=\frac{1}{3}x + 1\end{cases}\) has no solution because the two lines are parallel (same slope \(\frac{1}{3}\), different y - in…
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complete the proof that ∠s = ∠q. (there is a diagram with triangles and…
Additive Property of Length
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what is the sum of the areas of circle c and circle d? 7 cm c d 7π unit…
\( 98\pi \) units² (the last option, assuming the last option is \( 98\pi \) units²)
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complete the proof that $\\angle qrv \\cong \\angle s$. (image of trian…
- Step 7 Reason: Transitive Property of Equality (or Substitution, as \( SU = RS + RU \) and \( RV = RS + RU \) implies \( SU = RV \)) - Step 8 Reason: SSS (Side - Side - Side) Co…
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which statements are true about circle q? select three options. the rat…
- The ratio of the measure of central angle \(PQR\) to the measure of the entire circle is \(\frac{1}{8}\) - The area of the shaded sector depends on the length of the radius - Th…
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$\\angle twu \\cong \\angle tvx$, $\\overline{tw} \\cong \\overline{tv}…
For statement 4, the reason is "Angle Addition Postulate". For statement 5, the reason is "Angle Addition Postulate".
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in the figure, angle zyx is measured in degrees. the area of the shaded…
The central angle measure of the sector divided by the total angle measure of a circle multiplied by the area of the circle will yield the area of the sector
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the circular face of a watch has an area that measures between 800 and …
16 mm (or the option corresponding to 16 mm, e.g., if the options are labeled as A. 14 mm, B. 15 mm, C. 16 mm, D. 17 mm, then the answer is C. 16 mm)
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△vwy ≅ △xuy. complete the proof that \\(\\overline{wx} \\cong \\overlin…
For statement 2, the reason is "CPCTC (Corresponding Parts of Congruent Triangles are Congruent) (from \(\triangle VWY \cong \triangle XUY\))" For statement 3, the reason is "CPCT…
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what is the area of the shaded sector of the circle? 9 120° options: 9π…
\( 27\pi \) units\(^2\) (corresponding to the option "27π units²")