Geometrie
Dreiecke, Kreise, Koordinatengeometrie und Beweisaufgaben.
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the image of δabc after a reflection across $overleftrightarrow{eg}$ is…
F is the midpoint of \(\overline{AA'}\) because \(\overleftrightarrow{EG}\) bisects \(\overline{AA'}\).
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12. given △bcd ≅ △wxy, which statement does not prove congruence with t…
A. $\overline{BW} \cong \overline{DY}$ (Note: Assuming the first option is A, second B, third C, fourth D. The SSS postulate requires three pairs of corresponding sides. $\overlin…
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expression for surface area of attic: $45 (40 + 25 + 25) + \\frac{1}{2}…
The surface area of Linda’s attic is \(\boldsymbol{4350}\) square feet. (For the other "Choose..." parts, assuming typical attic net structure: The net Linda drew is a combination…
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lines mn and pq are parallel. lines rs and tv intersect them. which sta…
The slope of line MN is $\frac{2}{3}$., The slope of line RS is $-\frac{3}{2}$., Line RS is perpendicular to both line MN and line PQ.
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is the graph of this equation a horizontal or vertical line? y = -5 hor…
horizontal line
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what is the pre-image of vertex a if the image shown on the graph was c…
\( \boldsymbol{(-6, 8)} \) (corresponding to the option \(\boldsymbol{(-6, 8)}\))
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vi. jessica wrote the following 2 - column proof. what reason is jessic…
A. ASA Congruence Postulate
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which point would map onto itself after a reflection across the line y …
(4, -4)
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a student is standing 20 feet away from the base of a tree. he looks to…
29 feet
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10. pablo has drawn parallelogram abcd and its diagonals, ( overline{ac…
The area of \(\triangle BOC\) is equal to the area of \(\triangle AOB\) (the option with this statement)
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the image of δabc after a reflection across $overleftrightarrow{ec}$ is…
D. $\triangle BGC$ is right because $\overleftrightarrow{EG} \perp \overline{CC'}$.
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which of the lines that appear in the graph would be parallel to a line…
line HJ
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what are the coordinates of the image of vertex d after a reflection ac…
\((5, 3)\) (corresponding to the option with text \((5, 3)\))
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if a circular railroad crossing sign has an area of 254.34 in.², what i…
18
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which point on the y-axis lies on the line that passes through point c …
(0, 2)
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1. i usually eat at a table with a dish and a spoon, but cows eat out o…
trough ### Question 2
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9. what statement is missing from the 2 - column proof proving that δru…
\(\boldsymbol{\angle R\cong\angle S}\) (the option corresponding to \(\angle R\cong\angle S\))
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a point has the coordinates (0, k). which reflection of the point will …
a reflection of the point across the y - axis
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the image of trapezoid pqrs after a reflection across $overleftrightarr…
\(\boldsymbol{\overline{RR'} \parallel \overline{SS'}}\) (the option with this statement, e.g., the third option in the list)
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circle any number sentences that are true. 24 ≠ 24 \t\t43 < 34 \t\t56 <…
We circle the number sentence \(56 < 65\)
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determine the missing information in the paragraph proof. given: line p…
\(\frac{z - v}{x - w}\) (the first option)
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translate segment ab 6 units the coordinate of point a’ is ( select one…
The coordinate of point \( A' \) is \( (2, -4) \) The coordinate of point \( B' \) is \( (5, -6) \) (Note: If the translation is in another direction, adjust accordingly. But base…
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a line segment has endpoints at (-4, -6) and (-6, 4). which reflection …
B. a reflection of the line segment across the y - axis
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find the slope of the line that goes through the following coordinates.…
The slope of the line is \(-5\).
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8. which statements are correct about the triangles below? select all t…
$\triangle DEF$ and $\triangle LMN$ are not congruent (the first option)
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△abc was constructed using △abc and line segment eh. for \\(\\overline{…
- \( BD = DB' \) - \( m\angle EFA = 90^\circ \) - The line of reflection, \( \overline{EH} \), is the perpendicular bisector of \( \overline{BB'} \), \( \overline{AA'} \), and \( …
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transversal problems with equations (level 1) score: 0/4 penalty: none …
14
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line wv is perpendicular to both line rs and line tu. which statement m…
Line TU is parallel to line RS.
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the image shows a coordinate grid with two green triangles. the origina…
Translate right 3 and down 2
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7. triangles mno and rst are shown. which theorem could be used to prov…
A. Angle - Side - Angle (ASA)
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use the drop - down menus to complete the proof. step 1: set the compas…
- For \( XZ \cong \): \( YZ \) (since they are radii of arcs drawn with the same compass width, or congruent arcs' radii) - For \( \overline{KZ} \cong \): \( \overline{KZ} \) (by …
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grid with triangles labeled a, b, c and a, b, c. dropdown options: refl…
Rotate \(90^\circ\) clockwise around the point \((-1, 2)\)
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6. what is the second step to construct a congruent triangle such that …
B. Measure \( \overline{FG} \) (assuming the options are labeled A, B, C, D with A: Draw an arc for point K, B: Measure \( \overline{FG} \), C: Measure \( \overline{JK} \), D: Dra…
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which statements must be true about the image of δmnp after a reflectio…
- The image will be congruent to $\triangle MNP$. - $\overleftrightarrow{EG}$ will be perpendicular to the line segments connecting the corresponding vertices. - The line segments…
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the image of a point is given by the rule $r_{y=-x}(x, y) \\to (-4, 9)$…
\((-9, 4)\) (corresponding to the option \((-9,4)\))
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select all the counterexamples for the conjecture, \if an angle is not …
A. The angle is a right angle (90°), not acute and not obtuse. D. The angle is a straight angle (180°), not acute and not obtuse. E. The angle is a right angle (90°), not acute an…
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the formula for the volume of a pyramid is ( v = \frac{1}{3}bh ), where…
40
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5. according to the diagram below, determine the lengths of $overline{a…
Sides \( \overline{AB} \) and \( \overline{WX} \) are not congruent. Side \( \overline{AB} \) measures approximately 6.71 units, and side \( \overline{WX} \) measures approximatel…
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point a has coordinates (-5, 3). if point (1, 6) is \\(\\frac{3}{4}\\) …
\( (3, 7) \)
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figure abcde was reflected across the line y = x to create figure abcde…
(-2, 6)
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point p is located at (-4, -7). p is reflected across the x-axis to cre…
B. Quadrant II
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4. which statements can be made to prove that the 2 triangles are congr…
- \( \text{LK} \cong \text{ON} \) (checked) - \( \angle L \cong \angle O \) (checked) - \( \angle N \cong \angle K \) (checked) - \( \text{JL} \cong \text{OM} \) (checked)
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which are true if figure defg is reflected across the x-axis? check all…
- \(D(0, 4)\to D'(0, - 4)\) - \(E(-2, 0)\to E'(-2, 0)\) - The perpendicular distance from \(G'\) to the \(x\) - axis will equal 2 units.
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3. in the figure below, δdgf ≅ δdef. which statement cannot be used to …
Given \(EH = GH\)
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which reflection will produce an image of δrst with a vertex at (2, −3)…
a reflection of \(\triangle RST\) across the line \(y = -x\)
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placement test c name trugales-scott date excel math (1) 4 ones and 2 h…
204 ### Question 2: 5 hundreds and 6 tens
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a company makes japanese-style lunch boxes called bento boxes. each ben…
1. The manager can find the volume of the container using the formula \( \boldsymbol{V = l \times w \times h} \) (where \( l \), \( w \), \( h \) are length, width, height of the …
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select one select one reflected over the line y = x rotate 90° clockwis…
Rotate \( 180^\circ \) around the point \( (0, 0) \)
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1. i usually eat at a table with a dish and a spoon, but cows eat out o…
trough ### Question 2
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reflected over the line y = x; rotate 90° clockwise around the point (-…
Rotate \( 180^\circ \) around the point \( (0, 0) \)
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consider the reflection of δabc across the line of reflection, (overlef…
B. \( C'Q = QC \) C. \( \overleftrightarrow{PT} \perp \overline{AA'} \) E. \( \overline{AA'} \parallel \overline{BB'} \) F. \( m\angle TRB = 90^\circ \)
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label each circle of the venn diagram with the set of numbers it repres…
Innermost circle: Natural numbers; Middle circle: Whole numbers; Outermost circle: Rational numbers
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trapezoid lmnp was reflected using the rule ( r_{y\text{-axis}}(x, y) \…
C
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surmy is working in geometry class and is given figure abcd in the coor…
B. \((b, a)\)
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what is the rule for the reflection? ( r_{y\text{-axis}}(x, y) \to (-x,…
\(r_{x - axis}(x,y)\to(x,-y)\) (the last option: \(r_{x - axis}(x,y)\to(x,-y)\))
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click the arrows to choose an answer from each menu. the expression cho…
1. The expression \(c^{2}+2ab\) represents the area of the figure as the sum of the area of the shaded triangles and the area of the white square. 2. The equivalent expressions \(…
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what is the rule for the reflection? ○ ( r_{y\text{-axis}}(x, y) \to (-…
\( r_{y\text{-axis}}(x, y) \to (-x, y) \)
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label each circle of the venn diagram with the set of numbers it repres…
- Innermost circle (with \(6,7,8\)): Natural numbers - Middle circle (with \(-9, -3, -6\)): Integers - Outermost circle (with \(\frac{3}{4}, 2.\overline{3}, -7.6\)): Rational numb…
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the equation of a circle in expanded form is shown. what is the equatio…
\((x - 4)^{2}+(y + 2)^{2}=6^{2}\)
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the fence around a circular garden is 18 feet long. what is the area of…
26
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name: _______________________________ date: _____________ a new set of …
C. Tigris and Euphrates ### Question 2
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elias and jerry have two options to walk from their school to a corner …
990
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if point (p, q) is \\(\\frac{1}{3}\\) of the way from a to b , what are…
\(p = 2\), \(q = 0\)
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a circular city plaza is surrounded by a row of bricks. the area of the…
138
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given ⊙a ≅ ⊙v, what congruency statements can you make? choose two corr…
- \( \overarc{BE} \cong \overarc{ZX} \) - \( \overline{BC} \cong \overline{ZY} \)
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order the steps from 1-5 for constructing a copy of ∠a. image of ∠a pla…
The order of the steps (from top to bottom) is: 2, 4, 5, 1, 3.
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what is the pre-image of vertex a if the rule that created the image is…
A(2, 4)
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what is the pre-image of vertex a if the rule that created the image is…
# Explanation: ## Step1: Identify coordinates of \( A' \) From the graph, \( A' \) is at \( (2, 4) \). ## Step2: Apply inverse of \( r_{y\text{-axis}} \) The rule for reflection o…
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given ( m parallel n ), find the value of ( x ).
34
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given ( m parallel n ), find the value of ( x ).
148
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given ( m parallel n ), find the value of ( x ).
25
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a boat is traveling east across a river that is 112 meters wide at 8 me…
9.4 m/s
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given ( m parallel n ), find the value of x. diagram: two parallel hori…
\( x = 80 \)
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which answers are examples of inductive reasoning? select each correct …
- John saw wild turkeys in his yard during the past 3 years. He will see wild turkeys in his yard next year. - Mrs. Smith notices that the first 10 students who enter her class ar…
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the magnitude and direction of two vectors are shown in the diagram. wh…
\(2\sqrt{5}\)
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given that $\\angle a \\cong \\angle b$, gavin conjectured that $\\angl…
\( m\angle A = 25^\circ \) and \( m\angle B = 25^\circ \)
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which similarity statement is true? ○ δsrq ~ δtrs ○ δsrq ~ δrtq ○ δsrq …
$\boldsymbol{\triangle SRQ \sim \triangle TRS}$ (the first option: $\triangle SRQ \sim \triangle TRS$)
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identify the figure with the vertices q(-3,2), r(1,2), s(1,-4), and t(-…
The figure is a rectangle (since it has four right angles and opposite sides equal)
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how many obtuse angles does this triangle have? image of a green right …
0
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which triangle is an isosceles triangle? - triangle with sides 7, 9, 5 …
The fourth triangle (with side lengths 6, 6, 4) and the third triangle (with side lengths 3, 3, 3) are isosceles triangles (the third is also equilateral, a special case of isosce…
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which triangle is not congruent to the other three triangles?
The fourth triangle (the bottom - most one)
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look at the following right triangle. which triangle appears to be cong…
The fourth triangle (the one with the right angle and legs of equal apparent length, similar in shape and size to the original right - isosceles triangle)
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mr. guerra drew four figures on the board. which figure contains a righ…
The third figure (the right - angled triangle with the right - angle symbol)
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complete the mapping of the vertices of δdef. - d(2, −4) → d dropdown -…
- \( D(2, -4) \to D'(-4, 2) \) - \( E(1, -1) \to E'(-1, 1) \) - \( F(5, 1) \to F'(1, 5) \) - The rule \( r_{x = y}(x, y) \to (y, x) \)
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try it! 5. in jada’s sketch, ( mangle 1 = mangle 4 ). what is ( mangle …
\( 55^\circ \)
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try it! 4. b. what is the value of x in the figure? triangle with ( x^c…
\(55\)
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try it! 4. a. what is the value of x in the figure? triangle with 54° a…
111
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the measure of each exterior angle of a triangle equals the sum of the …
The Triangle Exterior Angle Theorem is verified as \(30^\circ+90^\circ = 120^\circ\), so the measure of the exterior angle at \(A\) equals the sum of the measures of its two remot…
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mo, \\(\\overline{mn}\\), and \\(\\overline{on}\\) are the midsegments …
19
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try it! 3. b. what are the values of x and y in the figure? 42° y° x° 5…
\(x = 64\), \(y = 74\)
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a. find the area of the square. show your work. s = \boxed{4}, so a = \…
For part a, \( s = \boldsymbol{4} \), \( A = \boldsymbol{4}^2 = \boldsymbol{16} \) units². ### Part b: Area of the Triangle
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try it! 3. a. what are the values of x and y in the figure? image of a …
\( x = 61 \), \( y = 19 \)
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given: △stu with \\(\\overline{st} \\parallel \\overline{xy}\\) prove: …
### Step 1: Analyze Step 5 (AA Similarity Theorem) The AA (Angle - Angle) similarity theorem states that if two angles of one triangle are congruent to two angles of another trian…
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the coordinate grid shows an equilateral triangle that fits inside a sq…
\( s = \boldsymbol{4} \), so \( A = \boldsymbol{4}^2 = \boldsymbol{16} \) units\(^2\)
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solving a real-world problem the diagram shows the intersections of sev…
226 ft (corresponding to the option "226 ft")
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what are the coordinates of the image of vertex p after a reflection of…
\(P'(-7,4)\)
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try it! 2. theorem 2-10 states that through a point not on a line, ther…
Point \( C \) is not on \( \overleftrightarrow{AB} \). Theorem 2 - 10 says there's exactly one line through \( C \) parallel to \( \overleftrightarrow{AB} \). The construction (e.…
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applying the converse of the side-splitter theorem which value of x wou…
\(x = 8\) (corresponding to the option \(x = 8\))
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prove the triangle angle-sum theorem. given: △abc prove: ( mangle 1 + m…
The Triangle Angle - Sum Theorem is proven as shown above, and \( m\angle 1 + m\angle 2 + m\angle 3=180^{\circ} \) holds.
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given that m∠ljk = 40°, what is m∠jkl?
\( 50^\circ \)