Geometry
Triangles, circles, coordinate geometry, and proof-oriented questions.
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angle bac measures 56°. what is the measure of angle bdc? 28° 34° 56° 1…
56° (Option C: 56°)
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line segment xy is tangent to circle z at point u. if the measure of (o…
42°
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what is the measure of angle cab in circle o? 24° 48° 72° 96°
48°
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in circle n, \\(\\overline{kl} \\cong \\overline{ml}\\). what is the me…
74° (Option B. 74°)
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in circle a, $\\angle bae \\cong \\angle dae$. what is the value of $x$…
17
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qr is tangent to circle p at point q. what is the measure of angle r? 3…
37°
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in circle n, \\(\\overline{kl} \\cong \\overline{ml}\\). what is the me…
132°
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in circle t, $\\angle ptq \\cong \\angle rts$. what is the length of $\…
4 units
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circle d is shown with the measures of the minor arcs. which angles are…
$\angle FDE$ and $\angle GDH$
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qr is tangent to circle p at point q. what is the approximate length of…
6.1 units
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solve for the value of z.
\( z = 8 \)
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solve for the value of t. (7t + 1)°, (8t - 8)° answer attempt 1 out of …
\(t = 9\)
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angles ptq and str are vertical angles and congruent. which chords are …
$\overline{QP}$ and $\overline{SR}$
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which arc is congruent to \\(\\widehat{eh}\\)? \\(\\bigcirc\\) \\(\\wid…
$\boldsymbol{\overline{GE}}$
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1 find $\\triangle abe$ equal in area to quadrilateral $abcd$ in the fi…
(3) \( AC \), \( ACE \), \( ABE \) ### Problem 2
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11) $2x + 5y = 10$
The line $2x+5y=10$ passes through the x-intercept $(5, 0)$ and y-intercept $(0, 2)$; the graph is a straight line connecting these two points.
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solve for the value of q. answer q =
\(q = 4\)
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the financial aid department at a college surveyed 44 students, asking …
The Venn diagram will have three overlapping circles (Scholarships, Loans, Grants) with the following values: - Scholarships only: 4 - Loans only: 2 - Grants only: 6 - Scholarship…
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find the degree measure of each angle in the triangle. $mangle k = squa…
\( m\angle K = 90^\circ \) \( m\angle L = 57^\circ \) \( m\angle M = 33^\circ \)
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Question was provided via image upload.
5. Reduction, $k=\frac{1}{2}$ 6. Enlargement, $k=2$ 7. Reduction, $k=\frac{1}{4}$ 8. Enlargement, $k=2$ 9. $k=3$ 10. $k=\frac{2}{3}$ 11. $k=5$ 12. $A'(2,2)$, $B'(6,2)$ 13. $A'(3,3…
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question 6 dynamic module 7 practice (rm c3) (there is a triangle - lik…
\(x = 50\)
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state whether a dilation with the given scale factor is a reduction or …
1. Enlargement 2. Reduction 3. Enlargement 4. Reduction
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10. in triangle rst, ( mangle r = 62^circ ) and the measure of an exter…
10. $\overline{ST}$ 11. (3) {3, 7, 10} 12. 16 13. 4 14. $40^\circ$
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sawyer is grounded and has to stay in his room all day. he made up a ga…
6
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x° 92° 141° x =
\(49\)
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can you show that this quadrilateral is a parallelogram? yes \t\t no
yes
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can you show that this quadrilateral is a parallelogram? 54° 128° yes no
no
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one of a trees rings has a diameter of 20 cm. what is the circumference…
62.8
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find the measure of the missing angles. answer attempt 1 out of 2 x = \…
$x = 31^\circ$, $y = 121^\circ$
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the floor of tatiannas basement has the dimensions shown. what is the a…
$94.38$ yd²
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what does the metaphor in this text suggest? conscience is a mans compa…
Your conscience guides you to act the right way.
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which formulas can be used to find the circumference of a circle? choos…
A. \( C = \pi d \) B. \( C = 2\pi r \)
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thursday reading log pages read today: 205 to 217 book level: book titl…
## Reaction: (Circle the heart emoji ❤️) ## Summary: First, Greg Heffley tries to impress his classmates by showing off a "cool" trick with a rubber band. Then, the trick backfire…
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the scale of the floor plan is 1 inch = 3 feet. what is the actual area…
74.25 square feet
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2) rotation: 180° about the origin
The vertices of the rotated figure are $(0,2)$, $(-2,2)$, $(-2,0)$, $(0,1)$. When plotted, these form the 180° rotation of the original shape about the origin.
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π is the ratio of the circumference to the diameter of a circle. which …
\(\frac{\text{Circumference of a circle}}{\text{Diameter of the circle}}\) (or in formula terms, \(\frac{C}{d}\) where \(C\) is circumference and \(d\) is diameter)
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7-2 enrichment similarity transformations explore the pattern that resu…
1. The base length of the smallest triangle is $\frac{1}{2048}$ inches, or approximately 0.000488 inches. 2. The triangles are microscopic (or sub-pixel sized), as their base is s…
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what is π? complete the statement. π is the ratio of the? to the diamet…
circumference
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match each diagram with the word it represents. circumference diameter …
- Dashed circle (first diagram) → circumference - Filled purple circle (second diagram) → area - Circle with dashed line through center (third diagram) → diameter - Circle with da…
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in the figure below, $\\triangle opq$ is drawn. the line $\\overleftrig…
$\boldsymbol{m\angle PQO = m\angle QOS}$ because they are **alternate interior angles**
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angle acd is supplementary to angles ace and bcd and congruent to angle…
B. Angle BCE is supplementary to angle ACE, C. Angle BCD is supplementary to angle BCE, E. Angle BCD is congruent to angle ACE
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if the blue radius below is perpendicular to the green chord and the se…
B. 15.2 units
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yolanda is making a banner for a school pep rally. she cuts fabric in t…
100 (corresponding to the option with 100, e.g., if the options are 40, 50, 100, 160, then the answer is the option with 100, like "100 (the option with 100 as its value)")
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figure cdef is a parallelogram. which equations are correct? select thr…
n = 10, FE = 42, CF = 59 (the options corresponding to these are the correct ones: n = 10, FE = 42, CF = 59)
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question 3 of 10 what is the measure of \\(\\angle abc\\)? a. \\(126^\\…
B. $63^\circ$
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question 8 of 10 fill in the blank. given \\( \\odot o \\) below, you c…
D. $\overline{OE}$
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which angles are supplementary to each other? ∠4 and ∠2 ∠8 and ∠5 ∠2 an…
$\boldsymbol{\angle2 \text{ and } \angle5}$
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given: ∠abc is a right angle and ∠def is a right angle. prove: all righ…
- A: Definition of a Right Angle - B: Transitive Property of Equality (or Substitution, since both equal \( 90^\circ \)) - C: Definition of Congruent Angles
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given △def, which is not equal to cos(f)? ○ sin(f) ○ sin(d) ○ tan(f) ○ …
tan(F)
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based only on the information given in the diagram, which congruence th…
A. HL B. LA C. ASA E. AAS
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the graph of an equation is given. (a) find the intercepts. (b) indicat…
# Explanation: ## Step1: Identify x-intercepts The graph crosses the x-axis at $(-\pi, 0)$, $(0, 0)$, and $(\pi, 0)$. ## Step2: Identify y-intercept The graph crosses the y-axis a…
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consider △lnm. which statements are true for triangle lnm? check all th…
The side opposite $\angle L$ is $\overline{NM}$. The side opposite $\angle N$ is $\overline{ML}$. The hypotenuse is $\overline{LN}$.
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what is the area of this figure? 4 cm 2 cm 5 cm 8 cm 6 cm 9 cm square c…
62 square centimeters
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suppose abc is a right triangle with sides a, b, and c and right angle …
Unknown side length: $4$ $\sin B = \frac{3}{5}$ $\cos B = \frac{4}{5}$ $\tan B = \frac{3}{4}$ $\csc B = \frac{5}{3}$ $\sec B = \frac{5}{4}$ $\cot B = \frac{4}{3}$ Side ratio equiv…
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given right triangle xyz, which correctly describes the locations of th…
a is adjacent, b is opposite, c is the hypotenuse
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what is the sum of the exterior angle measures, one at each vertex, of …
$360$
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solve the inequality for x and identify the graph of its solution. 3|x …
A. Solution: $x > -3$ and $x < 1$
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what is the length of \\(\\overline{ac}\\)? round to the nearest tenth.…
10.5 m
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find the length of \\(\\overline{ac}\\). use that length to find the le…
10.7 cm (corresponding to the option "10.7 cm")
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a right triangle has one side that measures 4 in. the angle opposite th…
4.1 in.
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m∠opq = m∠por because they are alternate interior angles. m∠pqo = m∠qos…
$68^\circ$
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find the measures of the numbered angles in the kite. the figure is not…
\( 90 \)
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what is the length of the hypotenuse? if necessary, round to the neares…
5
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the dimensions of a rectangle are represented by the functions shown. $…
\( 12x^2 + 7x - 10 \) (the fourth option: \( 12x^2 + 7x - 10 \))
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congruent? yes no similar? yes no congruent? yes no similar? yes no con…
1. Top-left: Congruent? ○ Yes ● No Similar? ● Yes ○ No 2. Top-right: Congruent? ○ Yes ● No Similar? ○ Yes ● No 3. Bottom-left: Congruent? ○ Yes ● No Similar? ● Yes ○ No 4. Bottom-…
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prove $overline{ij} cong overline{wv}$ by filling out the flowchart bel…
To prove $\overline{IJ} \cong \overline{WV}$, we follow these steps: 1. **Statement**: $\angle X \cong \angle H$, $VX \cong JH$, $WX \cong HI$; **Reason**: Given (from diagram mar…
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in the diagram, the length of segment tq is 40 units. what is the lengt…
40 units (the option: 40 units)
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is figure abcd congruent to figure klmn? explain. the figures are not c…
The figures are not congruent because Figure ABCD only maps onto Figure KLMN by a dilation.
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a dilation centered at the origin is applied to figure a. the result is…
\( 3 \)
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given: ( mangle aeb = 45^circ ) ( angle aec ) is a right angle. prove: …
The missing term is the "Angle Addition Postulate".
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look at the diagram. which equation can be used to solve for x? $13x - …
\( 13x - 14 = 90 \) ### Part 2: Solve for \( x \)
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el centro del círculo es o. el radio es 2 in, y el ángulo central a mid…
$\frac{5}{9}\pi$ square inches (o $\frac{5}{9}\pi$ in²)
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quadrilateral abcd is the image of quadrilateral abcd under a rotation …
D. $180^\circ$
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in the diagram, the length of segment tq is 40 units. what is the lengt…
# Explanation: ## Step1: Find x using congruent sides In a rhombus (or kite with perpendicular bisectors), sides ST and SV are equal. So set \(2x + 8 = 3x - 4\). \(2x + 8 = 3x - 4…
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directions: given the vertices, determine the quadrilaterals most speci…
EFGH is a Parallelogram --- ### For the first quadrilateral STUV (verification): ## Step1: Verify side lengths All sides: $ST=TU=UV=VS=\sqrt{116}$, so all sides are equal. ## Step…
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question 4 the diagram shows a section of the zoo where two paths meet …
130 m
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what is the value of x in this triangle? enter your answer in the box. …
$x = 49$
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angle b measures 60°. what is the measure of the angle that is compleme…
A. \(30^\circ\)
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given $\\triangle yes \\sim \\triangle not$. which statement must be tr…
The first option (the one with $\boldsymbol{\frac{NO}{YE}=\frac{OT}{ES}=\frac{NT}{YS}}$)
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which point on the number line shows the position of \\(\\sqrt{96}\\)?
point B
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write the equation of the line in fully simplified slope - intercept fo…
$y=-\frac{3}{5}x - 6$
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select the correct answer from each drop - down menu. given: (overline{…
definition of perpendicular segments all right angles are congruent reflexive property of congruence AAS congruence theorem definition of congruent segments
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in the diagram below, $overline{ab} cong overline{bd} cong overline{bc}…
$90^\circ$
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x is an acute angle. find the value of x in degrees. \\(\\cos(x) = \\fr…
$30$
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given: ( mangle a + mangle b = mangle b + mangle c ) prove: ( mangle c …
To prove \( m\angle C = m\angle A \) given \( m\angle A + m\angle B = m\angle B + m\angle C \), we apply the Subtraction Property of Equality. Subtract \( m\angle B \) from both s…
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determine the minimum rotation (in degrees) which will carry the follow…
\( 72^{\circ} \) (corresponding to the option \( 72^{\circ} \))
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the diagram shows a convex polygon. what is the sum of the interior ang…
$180^\circ$
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question what is the measure of each interior angle of the regular poly…
$144.0^\circ$
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deriving a tangent ratio for special triangles which statements are tru…
NM = x LM = $x\sqrt{2}$ $\tan(45^\circ) = 1$
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give the equation of the circle centered at the origin and passing thro…
\(x^2 + y^2 = 81\)
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fill in the sentence below with the description that most specifically …
rectangle, because it has four right angles and its opposite sides are equal in length.
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draw the image of the following triangle after a dilation centered at t…
The dilated triangle has vertices at \( (12, 16) \), \( (16, 16) \), and \( (14, 10) \) (plotted and connected on the grid as per the dilation rule).
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quadrilateral fghi is similar to quadrilateral jklm. find the measure o…
\( 9.7 \)
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find the measure of the missing angle. answer attempt 1 out of 2 a = ° …
$49$
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in the picture below, line pq is parallel to line rs, and the lines are…
D. $\angle Y\cong\angle H$
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fill in the sentence below with the description that most specifically …
exactly one pair of sides is parallel
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complete the proof that \\(\\overline{xz} \\cong \\overline{vz}\\). (im…
Statement for step 7: \( \boldsymbol{\triangle VWZ \cong \triangle XWZ} \) Reason for step 7: \( \boldsymbol{\text{SAS}} \) (and then \( \overline{XZ} \cong \overline{VZ} \) by CP…
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fill in the sentence below with the description that most specifically …
trapezoid, because it has exactly one pair of parallel sides.
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the diagram shows a regular polygon. what is the value of x? write your…
$60$
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given ( l parallel m parallel n ), find the value of ( x ). (there is a…
$x = \frac{65}{3}$ or $x \approx 21.67$