Geometry
Triangles, circles, coordinate geometry, and proof-oriented questions.
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in parallelogram pqsr, what is pq? 2 cm 5 cm 6 cm 9 cm (2x + 5) cm (4x …
9 cm
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quadrilateral rstu is a parallelogram. what must be the value of x? opt…
5
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not drawn to scale the perimeter of parallelogram pqsr is 74 cm. what i…
6 cm (Option: 6 cm)
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in parallelogram lmno, what is the measure of angle n? 50° 70° 110° 130°
\(110^\circ\) (corresponding to the option \(110^\circ\))
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to prove quadrilateral wxyz is a parallelogram, travis begins by provin…
- \( \angle ZWY \cong \angle XYW \) by the alternate interior \( \angle s \) theorem. - \( \overline{WY} \cong \overline{WY} \) by the reflexive property. - \( \overline{WZ} \cong…
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determining whether a quadrilateral is a parallelogram quadrilateral rs…
It is a parallelogram based on the single opposite side pair theorem.
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10 in. $(x + 5)$ in. $(2x - 3)$ in. $(x + 2)$ in. based on the measures…
Yes, one pair of opposite sides could measure 10 in., and the other pair could measure 13 in.
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given: quadrilateral mnol with \\(\\overline{mn} \\cong \\overline{lo}\…
s for the blanks: 1. The triangle congruent to \( \triangle MLO \) is \( \triangle NOM \). 2. The angle congruent to \( \angle LMO \) is \( \angle NOM \). 3. The type of angles ( …
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in quadrilateral lmno, \\(\\overline{lo} \\parallel \\overline{mn}\\). …
- \( \overline{ML} \parallel \overline{NO} \) - \( \overline{LO} \cong \overline{MN} \)
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given: \\(\\overline{rw} \\cong \\overline{wt}\\); \\(\\overline{uw} \\…
3. vertical angles are congruent 4. SAS congruence criterion 5. CPCTC
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consider quadrilateral lmno. if quadrilateral lmno is a parallelogram, …
\( 105 \)
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in quadrilateral abcd, \\(overline{ad} \\parallel overline{bc}\\). what…
31 units
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practice proving that a quadrilateral is a parallelogram. in quadrilate…
\( x = 3 \)
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question in \\(\\triangle jkl\\), \\(k = 240\\) inches, \\(l = 940\\) i…
# Explanation: ## Step1: Recall the Law of Sines The Law of Sines states that in any triangle, $\frac{a}{\sin A}=\frac{b}{\sin B}=\frac{c}{\sin C}$, where $a, b, c$ are the length…
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question in \\(\\triangle abc\\), \\(a = 34\\) inches, \\(b = 40\\) inc…
\( 91.1^{\circ} \)
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question in $\\triangle abc$, $a = 2.6$ cm, $b = 4.3$ cm and $c = 4.7$ …
\( 33^{\circ} \)
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miranda is writing a report about japan. read each detail and then sele…
Sports (select the circle under the "Sports" column for this detail) ### For "Japan is made up of 6,852 islands."
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martina is writing a report about jamaica. read each detail and then se…
Agriculture (select the circle under the Agriculture column for this detail) ### Detail 2: "Reggae, with its driving four - beat rhythm, started in Jamaica in the 1960s."
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juan is writing an article about haiti. read each detail and then selec…
Geography (select the circle under Geography for this detail) ### Detail 2: "Most people in Haiti speak Creole, which developed from French in the late seventeenth century."
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rhianna is writing a blog post about actor sidney poitier. read each de…
Acting roles (the circle under "Acting roles" for this detail should be selected) ### For the detail "Poitier moved to New York City at sixteen and worked in a theater as a janito…
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ling is writing an essay about new zealand. read each detail and then s…
Trade (select the circle under the "Trade" column for this detail) ### Second Detail: "Rugby, a form of football, is a national tradition in New Zealand."
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emily is writing an article about vietnam. read each detail and then se…
Sports (select the circle under the "Sports" column for the row "Soccer, table tennis, and volleyball are quite popular in Vietnam") ### Second Detail (Vietnam is home to the saol…
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oscar is writing an essay about the ancient egyptian ruler nefertiti. r…
Beliefs (the circle under the "Beliefs" column for this detail should be selected) ### For the detail "Nefertiti was the queen of Egypt in the fourteenth century BCE":
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hunter is writing a blog post about wrestling. read each detail and the…
Types (the circle under "Types" for this detail should be selected) ### For the detail "Among the ancient Greeks, wrestling was likely the most popular sport.":
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candice is writing a blog post about the banjo. read each detail and th…
History (select the circle under the "History" column for the detail "The banjo was brought from Africa to the United States by enslaved people in the nineteenth century.") ### Fo…
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what is the perimeter of this shape?
48
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what is the perimeter of rectangle abcd? use the editor to format your …
22
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developing ideas with structure in an informational text the power of c…
cause and effect
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developing ideas with structure in an informational text mastery check …
B. by using chronological dates to show the history of carrots
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the power of carrots do you think carrots are only those crunchy orange…
chronological order
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a pair of parallel lines is cut by a transversal, as shown in the figur…
p = q
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use the figure and flowchart proof to answer the question: points s, q,…
Subtraction Property of Equality
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use the figure and flowchart proof to answer the question: points s, q,…
Subtraction Property of Equality
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given: $overleftrightarrow{bc}$ is parallel to $overleftrightarrow{ed}$…
Missing Statement: $\boldsymbol{m\angle BEC + 30^\circ = 70^\circ}$ Missing Justification: $\boldsymbol{\text{Substitution Property of Equality}}$
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find ( mangle 4 ).
\(30^\circ\)
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the two - column proof below describes the statements and reasons for p…
$m\angle SQV + m\angle VQT = 180^\circ$
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two friends are sharing one half of a pizza that is divided into three …
10.75
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a pair of parallel lines is cut by a transversal. if ( mangle a = (6x -…
7
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lines ac and bd intersect at point o. if ( mangle aod = (5x - 4)^circ )…
41°
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the figure shown has two parallel lines cut by a transversal. which ang…
∠2
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the following is an incomplete paragraph proving that ∠wrs ≅ ∠vqt, give…
Substitution
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the following proofs to prove that vertical angles are congruent. who i…
Both Amanda and Stephen are correct.
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in triangle fgh, gj is an angle bisector of ∠g and perpendicular to fh.…
16
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$\\overleftrightarrow{rt}$ is a perpendicular bisector of $\\overline{u…
D. It will be an isosceles triangle.
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what is always true about the angles of an isosceles triangle? all thre…
At least two of the angles are congruent.
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consider the diagram and proof by contradiction. given: △abc with \\(\\…
B. \( \angle B \cong \angle C \)
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triangle abc is shown below. what is the length of line segment ac? 7 9…
14
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triangle sqt is isosceles. the measure of angle stq is 48°. what is the…
\( 24^\circ \) (Option: 24°)
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triangle abc is an isosceles right triangle. what is the measure of one…
\(45^\circ\) (corresponding to the option with \(45^\circ\))
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isosceles triangle abc has a perimeter of 96 centimeters. the base of t…
36 cm (corresponding to the option "36 cm")
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zx bisects ∠wzy. if the measure of ∠yxz is (6m − 12)°, what is the valu…
17
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consider isosceles δxyz. what is the value of n? what is the measure of…
Value of \( n \): \( \boldsymbol{3} \) Measure of leg \( XY \): \( \boldsymbol{39} \) ft Measure of leg \( XZ \): \( \boldsymbol{39} \) ft
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a circle is centered on point b. points a, c and d lie on its circumfer…
$20^\circ$
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adjust point d so the measure of angle bad is equal to the measure of a…
\(\boldsymbol{\overline{AD}}\) bisects \(\boldsymbol{\angle BAC}\) (the first option).
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a circle is centered on point b. points a, c and d lie on its circumfer…
$122^\circ$
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given: in triangle abc, ∠b ≅ ∠c prove: \\overline{ab} ≅ \\overline{ac} …
angle C
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given: in triangle abc, ∠b ≅ ∠c prove: \\overline{ab} ≅ \\overline{ac} …
converse of the triangle parts relationship theorem
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given: in triangle abc, ∠b ≅ ∠c prove: \\overline{ab} ≅ \\overline{ac} …
1. The first blank: segment \( AC \) 2. The second part (theorem): If one side of a triangle is longer than another side, then the angle opposite the longer side is larger than th…
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given: δabc is isosceles; \\(\\overline{ab} \\cong \\overline{ac}\\) pr…
angle B is congruent to angle C
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ven: $\\triangle abc$ is isosceles; $\\overline{ab} \\cong \\overline{a…
side AB is congruent to side AC
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given: $\\triangle abc$ is isosceles; $\\overline{ab} \\cong \\overline…
First dropdown: \(AB = AC\) Second dropdown: (The theorem: If one angle of a triangle is larger than another angle, then the side opposite the larger angle is longer) Third dropdo…
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use the relationship between the side lengths and the angles opposite t…
The smallest angle of the triangle is angle M. The largest angle of the triangle is angle N.
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the cartesian plane identify the ordered pair for each of the points on…
A. $(-75, -40)$ B. $(-125, 60)$ C. $(125, 20)$ D. $(75, -40)$ E. $(125, 50)$
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from this previous price, you can tell that demand for granola bars is …
To solve the problem of shading consumer surplus areas, we analyze the demand curve and price levels: ### Step 1: Initial Consumer Surplus (\( P = \$3.00 \)) Consumer surplus is t…
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from his eye, which stands 1.63 meters above the ground, isaac measures…
$91.51$ meters
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the cartesian plan identify the ordered pair for each of the points on …
A: $(11, 7)$ B: $(6, -11)$ C: $(-9, 7)$ D: $(1, 9)$ E: $(-3, -3)$
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find the value of a in parallelogram bcde. d to c is a+22, e to b is 3a…
\( 11 \)
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find the value of z in rhombus stuv. z = \\boxed{\\space}^\\circ submit
\(60\)
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find ordered pair and use them to graph the equation. y = -x + 5
Ordered pairs: $(0, 5)$, $(5, 0)$, $(-2, 7)$ (additional valid pairs are also acceptable). The graph is a straight line passing through these points, with a slope of $-1$ and y-in…
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use the intercepts to graph the equation. y = x + 2 x-intercept: enter …
x-intercept: $(-2, 0)$ y-intercept: $(0, 2)$ (Graph: A straight line passing through $(-2, 0)$ and $(0, 2)$ on the provided coordinate grid)
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find the intercepts of $-3x + 3y = -9$. give your answers as an ordered…
x-intercept = $(3, 0)$ y-intercept = $(0, -3)$ (Graph: Connect the points $(3, 0)$ and $(0, -3)$ with a straight line on the provided grid)
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4. the lengths of two sides of a triangle are given. determine the two …
The third side is between \(2\) yd and \(34\) yd. ### Problem 4b:
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what is the measure of each interior angle of the regular polygon pictu…
\( 154.3^\circ \)
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9. solve the inequality. graph the solution on a number line and write …
The solution to the inequality \(3(x - 4)>-2x + 3\) is \(x>3\). To graph this on a number line, we draw an open circle at \(x = 3\) (since the inequality is strict, \(x eq3\)) an…
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10. solve the inequality. graph the solution on a number line and write…
The solution to the inequality \(4(2n + 5)\geq3n - 5\) is \(n\geq - 5\). To graph this on a number line, we draw a closed circle at \(-5\) (because the inequality is "greater than…
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this graph shows quadrilaterals efgh and pqrs. is efgh congruent to pqr…
1. Yes, because a rotation 180° around H followed by a reflection across the line y = x maps EFGH onto PQRS.
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the graph shows triangles def and klm. is def congruent to klm? justify…
Yes, because a rotation \(90^\circ\) counterclockwise around the origin maps \(DEF\) onto \(KLM\).
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is mnop congruent to tuvw? justify your answer. yes, because a reflecti…
Yes, because a reflection across the line \( y = -x \) maps \( MNOP \) onto \( TUVW \).
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function transformations - reflections identify and plot the point that…
x-axis Reflection: $(-5, 2)$ y-axis Reflection: $(5, -2)$ *(To plot: For the x-axis reflection, mark a dot at $(-5, 2)$ on Figure 1. For the y-axis reflection, mark a dot at $(5, …
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the graph shows quadrilaterals defg and nopq. is defg congruent to nopq…
Yes, because a translation right 12 units maps DEFG onto NOPQ.
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the graph shows quadrilaterals cdef and rstu. is cdef congruent to rstu…
Yes, because a reflection across the y - axis maps CDEF onto RSTU.
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multiple-choice question what type of parabola is this? concave up conc…
B. Concave down
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question 4 which angle is an acute angle? ○ $\\angle abc$ ○ $\\angle fb…
∠FBE
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what is the measurement of the angle shown below? the measure of the gi…
70
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question 2 the drawing below has five points. how many line segments do…
5
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match each angle on the left with a correct description on the right. s…
1. First angle → acute angle 2. Second angle → right angle 3. Third angle → straight angle 4. Fourth angle → obtuse angle 5. Fifth angle → acute angle
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question 4a identify all obtuse angles in the drawing below. $\\angle m…
$\angle MOQ, \angle QON$
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identify all obtuse angles in the drawing below. options: ∠bmd, ∠amc, ∠…
$\angle BMD, \angle AMC, \angle AME$
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which geometric term best describes an arrow? line plane ray point
ray
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question 2a match each drawing on the left with its correct geometric n…
- First drawing (segment CD) ↔ $CD$ - Second drawing (line CD) ↔ $\overleftrightarrow{CD}$ - Third drawing (ray DC) ↔ $\overrightarrow{DC}$ - Fourth drawing (ray CD) ↔ $\overright…
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question 1b which geometric term best describes a piece of paper? ○ pla…
plane
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question 4 which angle is an acute angle? ○ $\\angle fbe$ ○ $\\angle ab…
$\boldsymbol{\angle FBE}$
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question 3 what is the measurement of the angle shown below? the measur…
80
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question 1 the drawing below has four points. how many lines does it ha…
3
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match each drawing on the left with its correct geometric notation on t…
- First drawing (segment AB) ↔ $\overline{AB}$ - Second drawing (segment AB with ticks) ↔ $\overline{AB}$ - Third drawing (line AB) ↔ $\overleftrightarrow{AB}$ - Fourth drawing (r…
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the measurement of the progress bar may be uneven because questions can…
Rays: $\overrightarrow{EA}$, $\overrightarrow{EB}$, $\overrightarrow{EC}$, $\overrightarrow{ED}$ Lines: $\overleftrightarrow{ED}$, $\overleftrightarrow{BE}$
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a flashlight is projecting a triangle onto a wall, as shown below. the …
20
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a flashlight is projecting a triangle onto a wall, as shown below. the …
# Explanation: ## Step1: Set up similarity proportion Since the triangles are similar, corresponding sides are proportional: $\frac{12}{16} = \frac{16}{n}$ ## Step2: Cross-multipl…
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the movement of the progress bar may be uneven because questions can be…
They are not similar because corresponding sides are not proportional.
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find the measure of ∠a in parallelogram abcd.
$102^\circ$