Geometrie
Dreiecke, Kreise, Koordinatengeometrie und Beweisaufgaben.
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identifying angle pair relationships use the diagram to identify the sp…
∠ADC and ∠BDC are **supplementary angles** A pair of complementary angles is angles **∠ACD and ∠BCD**
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topic: circles progress: the movement of the progress bar may be uneven…
42 square feet
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select the correct answer. can triangle a be mapped onto triangle b usi…
C. Triangle A can be mapped onto triangle B by reflecting triangle A.
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practice solving problems involving complementary and supplementary ang…
∠4 and ∠3, ∠4 and ∠5, ∠3 and ∠6
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find the area of the figure below, formed from a triangle and a paralle…
32 square millimeters
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1. type the correct answer in each box. spell all words correctly, and …
The value of x is 11, and the value of y is 8. $\Delta ABC$ and $\Delta FDE$ are congruent by the SSS criterion.
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explanation review find bc. in triangle abc, angle c is a right angle, …
$\approx 3.95$ (rounded to two decimal places)
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the movement of the progress bar may be uneven because questions can be…
40
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question id: 1192057 topic: triangles progress the assessment of the pr…
2.03125
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use the number line to find the indicated distance. 12. jk 13. kl 14. l…
12. $JK = 5$ 13. $KL = 4$ 14. $LM = 6$ 15. $JL = 9$ 16. $JM = 15$ 17. $KM = 10$
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determine whether a triangle with the given vertices is a right triangl…
(a) Right triangle (b) Not a right triangle (c) Not a right triangle
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find the missing information for both parts below. (a) in the figure be…
(a) $m\overset{\frown}{AB} = 59^\circ$ (b) $m\angle PSR = 105^\circ$
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topic: quadrilaterals progress question id: 1186459 the movement of the…
$83$
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determine whether a triangle with the given vertices is a right triangl…
(a) Right triangle (b) Not a right triangle (c) Right triangle
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find fg. write your answer as an integer or as a decimal rounded to the…
6.3
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learn with an example or watch a video find df. write your answer as an…
$6.7$
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what is the measure of angle x? what is the measure of angle y? what is…
Measure of angle x: $74^\circ$ Measure of angle y: $74^\circ$ Measure of angle z: $106^\circ$
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3. which equation can be used to find the value of x? $(6x + 4)+(9x - 7…
A. $(6x + 4) + (9x - 7) = 180$
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think about the process the length of a rectangle is twice the width. t…
A. Estimate $\sqrt{44}$ ---
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1. which vocabulary term best represents the given angles? alternate in…
B. vertical angles $x=22$
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graph the image of rectangle jklm after a reflection over the y-axis.
The reflected rectangle $J'K'L'M'$ has vertices at $(-3,5)$, $(-6,5)$, $(-6,9)$, $(-3,9)$. When plotted and connected, this forms the mirror image of the original rectangle across…
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practice with trigonometric ratios sp 26 for angle a, $\tan(a)=\\frac{5…
All of the above
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ok, this ones tough. a and b are the legs. c is the hypotenuse. so whic…
$6^2+?^2 = 12^2$ (the first option)
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practice with trigonometric ratios sp 26 for angle a, $cos(a) = \\frac{…
The hypotenuse
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you have 6 clay pots that you want to display in order from shortest to…
C. 1.2 in, $\sqrt{3}$ in, 1.8 in, $2\frac{1}{3}$ in, 2.4 in, $\sqrt{8}$ in
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error analysis: your math class is comparing $sqrt{11}$ and 5.1. your f…
The correct comparison is $\boldsymbol{\sqrt{11} < 5.1}$. Your friend likely confused $\sqrt{11}$ with $\sqrt{30.25}$ (which equals 5.1's incorrect claimed value of 5.5), or incor…
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practice with trigonometric ratios sp 26 true or false $\tan(b)=\\frac{…
True
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homework mon feb 9, due tue feb 10 1. find the value of x. x = ________…
1. $x = 20$ 2. $x = 8$, $y = 25$ 3. $\angle a$ and $\angle c$ (or $\angle b$ and $\angle d$) 4. $\angle a$ and $\angle d$ (or $\angle a$ and $\angle b$, $\angle b$ and $\angle c$,…
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practice with trigonometric ratios sp 26 true or false. $sin(b) = \\fra…
False
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writing locate $-sqrt{6}$ to the nearest tenth on a number line. use pe…
1. The tick mark closest to $-\sqrt{6}$ is $-2.5$. 2. Using a decimal estimate is better because number lines are marked with decimal/ integer tick marks, so the decimal estimate …
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practice with trigonometric ratios sp 26 true or false $\tan(a) = \\fra…
True
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rotations of shapes name _______________ date ________ period____ graph…
1. Transformed vertices: $K'(5,-1)$, $H'(3,2)$, $O'(0,0)$ (plot and connect these points) 2. Transformed vertices: $S'(-2,2)$, $T'(-4,4)$, $L'(0,5)$ (plot and connect these points…
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practice with trigonometric ratios sp 26 true or false. $cos(a) = \\fra…
False
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think about the process the length of a rectangle is twice the width. t…
A. Estimate $\sqrt{44}$
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practice with trigonometric ratios sp 26 true or false. $sin(a)=\\frac{…
True
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the radius of a circle is 7 cm. find its circumference in terms of $pi$…
$14\pi$
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solve for $x$. round to the nearest tenth, if necessary.
$4.5$
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18 multiple choice 6 points if $m\\angle x = 34^\\circ$ and $m\\angle z…
m∠Y = 120°
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part a domain $-5,4$ part b range $-3,3$ part c first interval of decre…
First Interval of Increase: $(-5,-3)$ Second Interval of Increase: $(0,3)$
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a right triangle has legs with measures of 15 in and 20 in. find the le…
25.0 in
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graph the image of $\triangle klm$ after a reflection over the x-axis.
The reflected triangle $\Delta K'L'M'$ has vertices at $K'(2, 9)$, $L'(2, 2)$, and $M'(-7, 6)$ (plotted and connected on the coordinate grid).
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solve for $x$. round to the nearest tenth of a degree, if necessary.
$35.3^\circ$
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17 multiple choice 6 points $(5k - 3)^\\circ$ $(9 + k)^\\circ$ what is …
k = 29
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practice with trigonometric ratios sp 26 fill in the blank. express you…
$\frac{5}{13}$
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16 multiple choice 6 points what is the value of x? $x=23$ $x=35$ $x=58…
x = 93
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practice with trigonometric ratios sp 26 fill in the blank. express you…
$\frac{8}{15}$
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maintain accuracy figures a and b are similar. figure a has a perimeter…
8
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15 multiple choice 6 points two parallel lines are crossed by a transve…
118.2° (the third option: 118.2°)
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structure in the diagram, $jklm\\sim efgh$. find the ratio of the perim…
$20:11$
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practice with trigonometric ratios sp 26 fill in the blank. express you…
$\frac{12}{35}$
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14 multiple choice 6 points abcd is a square. what is the length of lin…
13 units
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modeling real life your family decides to put a rectangular patio in yo…
Backyard perimeter: 130 feet Patio perimeter: 52 feet
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determine if the two lines are parallel, perpendicular, or neither. exp…
neither, since the slopes are neither equal nor opposite reciprocals
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critical thinking tell whether the polygons are always, sometimes, or n…
Always Similar
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practice with trigonometric ratios sp 26 fill in the blank. express you…
$\frac{35}{37}$
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13 multiple choice 6 points determine the type of triangle that is draw…
Isosceles Acute
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the triangles are similar. identify the type of segment shown by the da…
D. Median $y = 9$
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practice with trigonometric ratios sp 26 fill in the blank. express you…
$\frac{35}{37}$
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find the distance between (2a , c) and (3a , c). distance = dist
$|a|$ (or $a$ if $a\geq0$)
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two polygons are similar. the perimeter of the larger polygon is 85 met…
34 meters
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use the figure below to select the true statement.$angle bec$ is an ext…
∠DEC is an exterior angle.
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critical thinking tell whether the polygons are always, sometimes, or n…
Never Similar
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decide whether the red and blue polygons are similar. the polygons are …
The polygons are not similar.
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11 multiple choice 5 points find the equation of a line parallel to $y …
y = 3x - 9
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two polygons are similar. the perimeter of the smaller polygon is 66 fe…
88
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graph the image of $\triangle stu$ after a reflection over the $x$-axis.
The vertices of the reflected triangle are $S'(5, 10)$, $T'(8, 10)$, $U'(8, 5)$. When plotted and connected, this forms the image of $\triangle STU$ reflected over the x-axis.
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10 multiple choice 5 points which statement proves that $\\triangle xyz…
The slope of XZ is $\frac{3}{4}$, the slope of XY is $-\frac{4}{3}$, and $XZ = XY = 5$.
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9 multiple choice. 6 points given $m \\parallel n$, find the value of $…
B. 40
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the polygons are similar. find the value of $x$. $x = \\square$
20
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practice with trigonometric ratios sp 26 fill in the blank. express you…
$\frac{35}{37}$
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structure rectangle a is similar to rectangle b. rectangle a has side l…
9, 24
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8 multiple choice 5 points steven is cutting an 11 ft piece of lumber i…
D. 3 ft, 4 ft, 4 ft
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structure in the diagram, $jklm \\sim efgh$. find the values of $x$, $y…
$x= \frac{160}{11}$, $y= \frac{330}{11}=30$, $z=65$
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7 multiple choice 6 points what is the measure of $angle b$ $\bigcirc$ …
108° (the second option: 108°)
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the polygons are similar. the area of one polygon is given. find the ar…
$90$ cm²
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in the diagram, $rstu \\sim abcd$. find the ratio of their perimeters. …
$3:4$
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6 multiple choice 5 points given the information in the diagram, which …
D. Converse of the Consecutive (Same-Side) Interior Angles Theorem
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5 multiple choice 6 points in parallelogram lmno, what is the measure o…
80° (Option C: 80°)
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4 multiple choice 5 points rhombus lmno is shown with its diagonals. an…
68°
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3 multiple choice 6 points two parallel lines are crossed by a transver…
g = 75 Only question 3 is fully provided; question 4 is incomplete and cannot be solved with the given information.
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find the scale factor of the figures. then list all pairs of congruent …
$k=\frac{1}{3}$ $\angle D\cong\angle S$, $\angle E\cong\angle P$, $\angle F\cong\angle Q$, $\angle G\cong\angle R$ $\frac{DE}{SP}=\frac{EF}{PQ}=\frac{FG}{QR}=\frac{GD}{RS}=\frac{1…
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a quadrilateral abcd has vertices a(0,0), b(5,0), c(5,2) and d(0,2). de…
Slope of AB = 0 Slope of BC = undefined Slope of CD = 0 Slope of AD = undefined AB = 5.0 BC = 2.0
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$mangle srw = square^circ$ a diagram shows lines tw and vs intersecting…
$95$
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given: $m\\angle edf = 120^\\circ$; $m\\angle adb = (3x)^\\circ$; $m\\a…
vertical angles are congruent
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2 multiple choice 5 points consider the diagram. given that $r\\paralle…
Alternate Interior Angles Theorem
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in the diagram, which angle is part of a linear pair and part of a vert…
$\angle GFD$
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practice with trigonometric ratios sp 26 fill in the blank. express you…
$\frac{12}{13}$
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given: $m\\angle orp = 80^\\circ$ $m\\angle orn = (3x + 10)^\\circ$ pro…
$\boldsymbol{\angle ORP \text{ and } \angle ORN \text{ are a linear pair}}$
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is this quadrilateral a trapezoid? yes no
no
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marcus designs a tabletop in the shape of a regular pentagon with a rad…
50.27 square feet ---
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geom_test_u2b (foundations) assessment 1 multiple choice 5 points in qu…
$\overline{AB} \cong \overline{CD}$
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4. a rectangular safety flag has a height of 18 inches. the diagonals o…
### Mistake Explanation: Bao's critical mistake was failing to account for all four sides of the rectangle when calculating the perimeter; he only added one length and one width i…
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graph the image of rectangle rstu after a reflection over the x-axis.
The reflected rectangle has vertices at $R'(-8, 10)$, $S'(-2, 10)$, $T'(-2, 3)$, $U'(-8, 3)$ (when plotted and connected, this forms the reflected image over the x-axis).
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8. two circles have the same center o. the radius of the larger circle …
$\overline{XO}$, $\overline{OY}$, $\overline{CO}$, $\overline{YD}$, $\overline{DX}$, $\overline{DC}$
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marcus states that angle orp and angle lrp are a linear pair. which bes…
He is incorrect. Ray RO and ray RL are not opposite rays.
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what is the value of m? ○ 10 ○ 30 ○ 70 ○ 150 $(5m + 100)^circ$ $(2m + 1…
10
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what is the measure of angle trv? ○ 20° ○ 50° ○ 60° ○ 130° (2x + 10)° (…
130°
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in the diagram, which angles are vertical angles? select two options. □…
B. $\angle ABE$ and $\angle CBD$ D. $\angle ABC$ and $\angle EBD$
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in which diagram are angles 1 and 2 vertical angles?
A. The top diagram (with two intersecting lines, angles 1 and 2 opposite each other)
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what is the value of x? 20 35 60 70 $(x + 40)^circ$ $(3x)^circ$
20