Geometrie
Dreiecke, Kreise, Koordinatengeometrie und Beweisaufgaben.
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what is the value of t?
\( 22^\circ \)
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solve for x. 18 14 x x = ?
$\sqrt{400}$ or 20
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what is the value of p?
$28$
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solve for x. $x = \\square$ (simplify your answer. type an integer or a…
$4$
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exploring inscribed angles explore the properties of inscribed angles b…
$100^\circ$
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the diameter of a circle is 6 ft, what is its area? select one: a. 28.2…
1. a. 28.26 2. d. $(x+y)/xy$
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select the reason why these triangles are similar. if they are not, sel…
SAS
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what is the value of $j$?
\(63^\circ\)
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what is the y-intercept of the line whose equation is $y=-x-2$? select …
1. d. -2 2. c. 180
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estimate the measure of $angle wxy$ to the nearest $10^{\\circ}$. answe…
$130^\circ$
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what is the value of $j$?
$145^\circ$
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question estimate the measure of $angle lmn$ to the nearest $10^{\\circ…
$30^\circ$
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10. a sculpture shaped like a pair of right triangles has leg lengths o…
17 feet
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these triangles are similar. solve for x. 14 93° 57° 28 93° 20 x 57° x …
$x=20$
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the figure on the right is a scaled copy of the figure on the left. ans…
1. IH 2. 2
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these polygons are similar. solve for x. 10 x 5 4 x = ?
$x=8$
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the figure on the right is a scaled copy of the figure on the left.answ…
1. Corresponding side: CB 2. Scale factor: $\frac{2}{3}$
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identifying angles of elevation and angles of depression use the diagra…
1. The angle of depression from point R to point S is angle **3** 2. The angle of elevation from point S to point R is angle **4** 3. Angle 2 is the angle of elevation from **poin…
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angle of elevation ________ angle of depression select one: a. > b. equ…
b. equals the
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$c^{2}=a^{2}+b^{2}$ is called the select one: a. quadratic formula b. s…
1. c. Pythagorean theorem 2. a. right
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the figure on the right is a scaled copy of the figure on the left. ans…
1. Corresponding side: CB 2. Scale factor: $\frac{3}{4}$
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the figure on the right is a scaled copy of the figure on the left. ans…
1. Corresponding side to $ST$: $BC$ 2. Scale factor: $\frac{1}{2}$
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which of these is not a pythagorean triple? select one: a. 7,24,25 b. 5…
1. c. 1,2,3 2. b. 1:4
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find the area of a 60 degree sector with radius 10. select one: a. 52.3…
a. 52.3 --- ### Second Problem: Angle of Depression
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what is the value of q?
$40^\circ$
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solve for x. $x=\\square$ (round to one decimal place as needed. use a …
$x \approx 0.6$
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what must be the length of $overline{zy}$ in order for $overline{zy}$ t…
15 units
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the longest leg is select one: a. 20 b. 5 c. $10\\sqrt{3}$ d. $5\\sqrt{…
First question (assuming standard 30-60-90 triangle with hypotenuse 20): c. $10\sqrt{3}$ Second question: d. $2\sqrt{10}$
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determine the equation, in slope-intercept form, for the line shown in …
$y = -\frac{1}{2}x - 3$
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in circle a, $angle bae cong angle dae$. what is the length of $overlin…
27 units
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the circumference of a circle with diameter 12 is select one: a. 37.68 …
1. a. 37.68 2. c. pi
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question 75 the letter which does not have line symmetry is select one:…
## Question 75: c. S ## Question 76: a. minor arc
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$\\overline{qr}$ is tangent to circle p at point q. what is the measure…
37°
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which arc is congruent to $widehat{eh}$?$\bigcirc$ $widehat{gh}$$\bigci…
$\boldsymbol{\overline{GE}}$
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a 30-60-90 triangle has shortest leg 10. the hypotenuse is ______ selec…
b. 20 --- ### Second Question:
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in circle t, $angle ptq cong angle rts$. what is the length of $overlin…
4 units
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a triangle with sides 3, 4 and 6 is ____________ select one: ○ a. obtus…
1. a. obtuse 2. b. none of these
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use a calculator to find the measure of the missing angle. round to the…
36.9
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the hypotenuse of a right triangle with legs 6 and 8 is select one: a. …
1. c. 10 2. False
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circle t has diameters $overline{rp}$ and $overline{qs}$. the measure o…
96°
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what is the length of $overline{ca}$ on the number line? a -5 b -1 c 4 …
D. 9
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write and solve an inequality to find the values of x for which the per…
A. $x < 24$
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an inscribed angle and a central angle intercept the same arc. the insc…
a. half --- ### Second Question
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the equilateral triangle with side 12 has altitude select one: a. $6\\s…
a. $6\sqrt{3}$ --- ### Second Question:
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what is true regarding two adjacent arcs created by two intersecting di…
The sum of their measures is 180°.
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what is the length of $overline{da}$ on the number line? a -5 b -3 c 2 …
D. 5
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in circle a, $angle bae cong angle dae$. what is the value of x? $\bigc…
17
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$\\pi r^2$ (the symbol is pi) is the formula to find the area of a ____…
1. b. circle 2. a. $36 \sqrt{3}$
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in circle n, $overline{kl} cong overline{ml}$. what is the measure of $…
74°
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a circle p is circumscribed about a regular hexagon abcdef if segment a…
1. a. isosceles 2. a. interior
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what is the length of the line segment shown on the above number line? …
A. 9
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$\\overline{lk}$ is tangent to circle j at point k. what is the length …
$\frac{85}{12}$ (Option: $\boldsymbol{\frac{85}{12}}$)
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a circle p is circumscribed about a regular hexagon abcdef arcs ab, bc,…
1. a. True 2. c. rectangle
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finding the measure of an arc in $odot h$, $overparen{ik} cong overpare…
$202$
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a circle p is circumscribed about a regular hexagon abcdef arc ab = sel…
1. a. 60 2. a. 120
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finding the length of a chord circle j is congruent to circle p. if $ok…
12
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what is the length of $overline{cb}$ on the number line? a -3 b -2 c 1 …
C. 1
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an angle that is one half its arc is a/n __________ angle. select one: …
1. a. inscribed 2. b. bisects
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determining congruent arcs circle a is congruent to circle j. chords $o…
$\overset{\frown}{BC} \cong \overset{\frown}{MP}$, $\overset{\frown}{EG} \cong \overset{\frown}{KL}$, $\overset{\frown}{LO} \cong \overset{\frown}{MP}$
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the segment joining two points on a circle is called a/n select one: a.…
1. b. chord 2. c. concentric
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segment ac is a diagonal of regular polygon abcde. what does ∠acd equal…
1. b. 72 2. d. 180
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finding an unknown angle measure $overline{ab}$ is tangent to $odot c$ …
56° (Option C: 56°)
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the ratio of total interior angles to total exterior angles of a quadri…
1. c. 1:1 2. d. 4
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what value of $x$ would make $overleftrightarrow{rq}$ tangent to circle…
$6$
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which quadrilateral has equal diagonals select one: ○ a. trapezoid ○ b.…
1. d. rectangle 2. a. always
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5. a right triangle has leg lengths of 12 centimeters and 16 centimeter…
20 centimeters
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identifying a true statement in circle q, $angle rqs cong angle sqt$. w…
$\overline{RS} \cong \overline{ST}$
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solve the right triangle. write your answers as integers or as decimals…
$IK = 2.0$, $JK = 1.0$, $m\angle I = 57.0^\circ$
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q.13 solve a right triangle gpr solve the right triangle. write your an…
$RS \approx 3.0$, $RT \approx 2.6$, $m\angle S = 41^\circ$
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chords $overline{de}$, $overline{ef}$, and $overline{fg}$ are congruent…
$m\overset{\frown}{FG} = 80.75^\circ$ $m\angle ECF = 67^\circ$
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1) $8>x+9$ (there is a number line below, marked with -4, -2, 0, 2, 4, …
$x < -1$ (On the number line, draw an open circle at $-1$ and shade the region to the left of $-1$.)
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solve the right triangle. write your answers as integers or as decimals…
$CE = 4.1$, $CD = 8.1$, $m\angle E = 64^\circ$
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three planes intersect in select one: a. a plane b. a point c. a line s…
1. b. a point 2. c. a median
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the segment joining a vertex to the middle of the opposite side of a tr…
1. d. median 2. d. obtuse
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ve the right triangle. write your answers as integers or as decimals ro…
$TU = 4.1$ $ST = 9.1$ $m\angle U = 66^\circ$
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two angles of a triangle are 50 degrees and 60 degrees. the exterior an…
d. 110 --- ### Second Question
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which triangle has congruent angles? select one: a. equilateral b. obtu…
1. a. equilateral 2. d. exterior angle
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which of these is not to be used as a reason in a proof? select one: a.…
1. d. guess 2. c. diagram
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find the value of x. $x = \\square$
$57$
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an exterior angle of a regular polygon cannot have the measure select o…
b. 50 --- ### Second Question
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a median drawn to a side of a triangle is select one: a. a segment b. a…
1. a. a segment 2. e. SSA
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question 23 of 2 draw the front, top, and side views of the figure.
### Front View: ``` ■ ■ ■ ■ ■ ``` ### Top View: ``` ■ ■ ■ ■ ■ ``` ### Side View: ``` ■ ■ ■ ■ ■ ``` (Note: Each ■ represents a square face of the cubes in the respective orthograph…
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an isosceles triangle has select one: a. 3 equal sides b. no equal side…
1. c. 2 equal sides 2. b. no endpoints
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it two angles are equal and supplementary, the angles are select one: a…
1. a. right angles 2. c. a line segment
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spiral review 9. label each line on the graph with its corresponding eq…
- The line with positive slope crossing the y-axis at $(0,3)$ is $\boldsymbol{y=2x+3}$ (Line $a$) - The line with negative slope crossing the y-axis at $(0,3)$ is $\boldsymbol{y=-…
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the altitudes of a right triangle intersect select one: a. at one of th…
1. a. at one of the vertices of the triangle 2. b. equal
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an exterior angle at the base of an isosceles triangle is always select…
1. b. an obtuse angle 2. d. a right triangle
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if one angle of a trapezoid is a right angle, the greatest number of ad…
1. a. 2 2. c. rectangle
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for each triangle, check all that apply. triangle a triangle b triangle…
- Triangle A: Scalene - Triangle B: Scalene - Triangle C: Isosceles, Equilateral
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practice & problem leveled practice in 8-11, find the area 8. 2 yd 6 yd…
For question 8: $12$ yd² For question 10: $105$ in²
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the diagonals of a rectangle are always select one: a. equal and perpen…
1. b. equal and bisect each other 2. c. equal
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the diagonals of a rectangle are always select one: a. equal to each ot…
1. a. equal to each other 2. c. supplementary
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which of the following statements is false? select one: a. a rectangle …
1. a. A rectangle is a square 2. c. bisect each other
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assessment practice 21. the parking space shown at the right has an are…
Yes, the truck can fit. The parking space has a base length of 11 ft and a side length of 19 ft, which are both larger than the truck's dimensions of 13.5 ft and 8.5 ft (the truck…
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which sentence about measuring angles is true? an angle that turns thro…
B. An angle that turns through $\frac{10}{360}$ of a circle has a measure of $10^\circ$.
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in a polygon, the segment joining two non-consecutive vertices is calle…
1. b. diagonal 2. b. 1
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a polygon with both equal angles and equal sides is called select one: …
1. d. regular 2. d. hypotenuse
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the sum of the interior angles of a polygon with n sides is select one:…
1. c. 180(n-2) 2. a. equals
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in 16 and 17, use the picture at the right. 16. hilary made an origami …
1. The area of the parallelogram is $\boldsymbol{9.44}$ cm² 2. The total area of the origami paper used is $\boldsymbol{450}$ cm²
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if an angle is twice its supplement, the angle is ____ degrees. select …
1. b. 120 2. b. decreases