Geometrie
Dreiecke, Kreise, Koordinatengeometrie und Beweisaufgaben.
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find the area of each two - dimensional figure. ① 4 m 3 m area = ② 5 mm…
1. $6m^{2}$ 2. $25mm^{2}$ 3. $63in^{2}$ 4. $25cm^{2}$ 5. $45ft^{2}$ 6. $28yd^{2}$ 7. $15in^{2}$ 8. $51cm^{2}$
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area of a composite figure. find the area of each figure, round your an…
1. \(3456\ cm^2\) 2. \(566\ ft^2\) 3. \(12\ m^2\) 4. \(75\ in^2\) 5. \(312\ yd^2\) 6. \(240\ in^2\) 7. \(1568\ yd^2\) 8. \(744\ cm^2\) 9. \(108\ ft^2\)
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question point t is on line segment $overline{su}$. given $su = 5x,tu =…
$6$
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read the excerpt from the graveyard book by neil gaiman and then answer…
1. Yes 2. came 3. No 4. One, gown, it, suit, sleeves, tatters Proof - reading: "Dropped" (correct spelling), "circled", "shouted" (suggested change), "was", "stifled", "clamping" …
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3.1 vector addition and subtraction (15pts) (problem 2.3.47 and more) f…
(a) Magnitude: $2\sqrt{13}\approx7.21$, Direction angle: $236.31^{\circ}$ (b) Magnitude: $2\sqrt{2}\approx2.83$, Direction angle: $135^{\circ}$ (c) Magnitude: $2\sqrt{13}\approx7.…
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using the proper proofreading marks, correct the six errors in this exc…
One of the winged beasts dropped toward them, circled lower and bellowed the call again until it was stifled by hard hands clamping over his mouth. Words with the same root: cosmo…
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came catapulting out into this crimson - skied world, just like the one…
1. Yes 2. catapulting out 3. No 4. One, gown, it, suit, sleeves, tatters Proof - reading: Change "Dropped" to "dropped"; "maid" to "made"; "were" to "was"; remove comma after "cla…
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1. find the coordinates of the mid - point of the segment with the give…
1. $(5,-\frac{1}{2})$ 2. $(2,2)$ 3. $(1,4)$ 4. $(-\frac{5}{2},-10)$ 5. $\sqrt{13}$ 6. $5$ 7. $\sqrt{85}$ 8. $3$ 9. $13$ 10. $65$ 11. $58$
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structures for fiction and nonfiction texts directions: circle the text…
1. sequence 2. description 3. problem/solution 4. cause/effect 5. compare/contrast 6. compare/contrast 7. cause/effect 8. compare/contrast 9. cause/effect 10. sequence
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in the diagram above, △abc ≅ △bad. if ac = 8 m and ab = 17 m, how long …
15 m
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rene is designing a satellite that is the shape of a parabola that open…
C. $(0,2)$
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if c is the mid - point of ab and de, what is the length of ab? (1 poin…
26
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ignacio wants to prove that $\triangle abccong\triangle dcb$. he says t…
C. the Reflexive Property
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the hl congruence theorem quick check malik is comparing 2 right triang…
He could apply the Pythagorean Theorem to find the missing side lengths and then compare corresponding sides to apply HL.
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in exercises 5 - 10, find the value of x. show your steps. (see example…
For exercise 5: $x = 64$ For exercise 6: $x = 12$
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graphing a piecewise defined function explain how to graph the given pi…
To graph the piece - wise function: For $y=-x + 3$ with $x<2$, plot points and draw a line with an open - circle at $x = 2$. For $y = 3$ with $2\leq x<4$, draw a horizontal line w…
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consider right triangles $\triangle abc$ and $\triangle xyz$. angle $b$…
C. $\overline{AB}\cong\overline{XY}$
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in exercises 1 - 4, find m∠1 and m∠2. tell which theorem you use in eac…
**Figure 1**: $m\angle1 = 117^{\circ}$, $m\angle2=63^{\circ}$ (Vertical Angles Theorem and Linear - Pair Postulate) **Figure 2**: $m\angle1 = 150^{\circ}$, $m\angle2 = 30^{\circ}$…
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problem 4 a map of colorado says that the scale is 1 inch to 20 miles o…
Yes, the two ways of reporting the scale are the same. ### Problem 5
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11. a formula for the perimeter of a rectangle is (p = 2l+2w). a. solve…
a. \(w=\frac{P - 2l}{2}\) b. \(1.5\) meters
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which is the directrix of a parabola with equation $x^{2}=8y$? $y = 2$ …
$y = - 2$
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yung is designing a flashlight that uses a parabolic reflecting mirror …
C. $(0,2)$
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which is the standard form of the equation of the parabola shown in the…
\(x^{2}=-16y\)
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which is the focus of a parabola with equation y² = 4x? (-1, 0) (0, -1)…
$(1,0)$
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10. the sum of the angle measures of a triangle is 180°. find the value…
$x = 40$, the angle measures are $40^{\circ},80^{\circ},60^{\circ}$
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which is the standard form of the equation of the parabola that has a v…
$(x + 4)^2=-36(y + 6)$
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skylar is designing a flashlight that uses a parabolic reflecting mirro…
C. \((1,-5)\)
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consider the expression. mentally estimate the sum or difference. circl…
1. less than 1 2. between 1 and 2 3. less than 1 4. less than 1
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2.2.6 check your understanding which of the following represent deducti…
All of the above statements represent deductive reasoning. So the selected options are all the check - boxes.
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2.5.7 check your understanding a true conditional statement is given. \…
converse; If the slope of one line is equal to the opposite reciprocal slope of another line, then those two lines are perpendicular.
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4 + 6·2 = 4 + 12 circle: true or false
True
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bobby thinks that 5² = 10. what is wrong with this answer? circle: true…
Bobby has confused the operation of exponents. The correct value of \(5^{2}\) is 25, not 10.
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2.5.6 stepping stones for the conditional statement, if two lines are p…
If two lines intersect, then they are perpendicular lines.
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2.5.6 stepping stones for the conditional statement, if the angle measu…
If the angle is an acute angle, then the angle measures 90° or less.
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2.5.6 stepping stones for the conditional statement, if the polygon is …
If the polygon has three sides, then the polygon is a triangle.
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2.6.6 check your understanding a conditional statement is given. \if a …
If a polygon has exactly 3 sides, then it is never a quadrilateral.
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2.6.6 check your understanding a conditional statement is given. \if a …
never
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2.6.6 check your understanding a statement is given. \a square has four…
A square does not have four congruent sides.
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14. in the figure shown, lines f and g are parallel. select all stateme…
A. Angle 4 is congruent to angle 6. C. Angle 1 and angle 7 are supplementary. D. Angle 1 is congruent to angle 5. F. \(m\angle7 + m\angle8 = 180^{\circ}\)
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• angle abc is congruent to angle bcf because they are alternate - inte…
Angle $ACG = y$ and angle $BCF = z$
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13. not use the figure of a triangle with no measures to prove that x +…
Angle $DAC$; Angle $ACF$; alternate - interior angles; $180^{\circ}$; straight
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the two - column proof shown includes statements and reasons that are n…
3, 6, 4, 2, 1, 5
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fill in the blanks with the missing angle numbers to complete the flow …
FILL IN 1: $\angle HRL$ FILL IN 2: $\angle FKD$ FILL IN 3: $\angle HRL$ FILL IN 4: $\angle FKD$
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which of the following conclusions can be made using the given informat…
$\angle ABC$ and $\angle DEF$ are supplementary because the definition of supplementary angles is angles whose measure add to 180° and $80^{\circ}+100^{\circ}=180^{\circ}$.
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identify the conclusion in the following statement: if the measures of …
A. ... then they are supplementary ...
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two intersecting lines, $overline{ab}$ and $overline{de}$, are shown wh…
\(\overline{AB}\) is perpendicular to \(\overline{DE}\) because where they intersect, \(\angle BCD\) is a right angle.
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the figure of ∠fwk is shown. what information should be given to prove …
\(\angle FWG\cong\angle HWK\)
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2. mk = mk 2. reflexive property of equality 3. gk = mk + gm; mh = mk +…
Transitive property of equality
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given: $overline{rw}$ and $overline{pk}$ intersect at point $s$ so that…
Segment Addition Postulate
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2.8.6 stepping stones in a formal proof, what are the justifications gi…
A. Reasons
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when writing a flowchart proof, what goes with the arrows? statements r…
Reasons
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2.8.6 stepping stones in a two - column proof, what goes in the right h…
A. Reasons
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1. ∠fmg and ∠hmk are straight angles 1. given 2. m∠fmg = 180° and m∠hmk…
\(m\angle KMG=m\angle HMF\)
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test yourself! practice tool cicely and james are working on if - then …
They are both correct, the statement can be written either way.
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a diagram is shown. which of the following statements are true? select …
$\angle XZR\cong\angle TZN$, $\angle QTZ\cong\angle NTM$, $\angle KNH\cong\angle ZNG$
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5. $cd + db=cb$ 5. segment addition postulate 6. 6. substitution proper…
$AD = CB$
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test yourself! practice tool a statement is given. if points are collin…
If points are coplanar, then they are collinear. False
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10. a diagram is shown. a. select all of the statements that are true. …
$\angle DRH\cong\angle KRC$, $\angle HRC\cong\angle KRD$, $\angle MKP\cong\angle BKN$, $\angle WDY\cong\angle RDK$
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he struggled up to the surface and tried to cry out, but the wash from …
Neither of the provided options can be interpreted from the excerpt.
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6 from unit 1, lesson 10 there is a sequence of rigid transformations t…
a. 90 degrees b. 90 degrees
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which statement is true about a translation? a a translation takes a li…
A. A translation takes a line to a parallel line or to itself
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6 from unit 1, lesson 9 here are 3 points in the plane. explain how to …
Calculate the distance between $C$ and $A$ using the distance - formula $d_{CA}=\sqrt{(x_C - x_A)^2+(y_C - y_A)^2}$, calculate the distance between $C$ and $B$ using the distance …
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4 from unit 1 lesson 10 here are four original triangles that have each…
For question 4: C For question 5: Draw D' such that the relative position of D' with respect to A', B', C' is the same as the relative position of D with respect to A, B, C.
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lines l and m shown here are perpendicular with point of intersection p…
No. A 180 - degree rotation about \(P\) and a reflection over line \(m\) do not have the same effect on points in the plane because the rules for rotation and reflection are diffe…
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directions: find the value of x. (10x - 11)° (3x - 2)° (3x + 1)°
\(x = 12\)
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5) m∠1 = ______ m∠2 = ______ m∠3 = ______ 7) in △mnp, if m∠m=(4x - 3)°,…
\(m\angle1 = 62^{\circ}\) \(m\angle2 = 45^{\circ}\) \(m\angle3 = 24^{\circ}\) \(x = 10\) \(m\angle M = 37^{\circ}\) \(m\angle N = 84^{\circ}\) \(m\angle P = 59^{\circ}\)
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essential question 1. exploration: perimeter how can you solve an equat…
a) $x = 6$, Perimeter = 30 b) $x = 8$, Perimeter = 64 c) $x=\frac{1}{8}$, Perimeter = 26.25
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directions: find all missing angles. 1 76° 59° m∠1 = 2 62° 67° m∠1 = 3 …
1. \(m\angle1 = 45^{\circ}\) 2. \(m\angle1 = 51^{\circ}\) 3. \(m\angle1 = 37^{\circ}\)
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trusting such a simple system feels cheap and meretricious while youre …
To create suspense, writers must reveal details gradually.
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unit 4: triangles and the value of the pronumerals question 1 find the …
Question 1: a. \(x = 30\) b. \(x = 40\) c. \(a = 60\) d. \(m = 60\) e. \(x = 110\) f. \(y = 55\) Question 2: a. \(x = 80\) b. \(x = 118\) c. \(a = 40\) d. \(a = 38\) e. \(x = 45\)…
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unit 4: the angle sum of a triangle question 1 find the value of each p…
Question 1: a. \(m = 65\) b. \(a = 50\) c. \(c = 25\) d. \(x = 18\) e. \(y = 95\) f. \(a = 68\) Question 2: a. \(x = 70\) b. \(x = 45\) c. \(a = 45\) Question 3: a. \(x = 41\) b. …
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if a translation of $t_{-3, -8}(x, y)$ is applied to square abcd, what …
-6
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if tu = 6 units, what must be true? rs + su = ru tu + us = rs su + ut =…
\(RT + TU=RS\)
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which figures are shown in the diagram? choose three correct answers. p…
point D, ray CD
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given: ab = 12 ac = 6 prove: c is the midpoint of (overline{ab}). proof…
Transitive
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quadrilateral abcd is translated up and to the right, and then rotated …
\(ABCD\cong WXYZ\)
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directions: circle the text structure for each sentence. 1. nathan dash…
1. sequence 2. description 3. cause/effect 4. cause/effect 5. compare/contrast 6. description 7. cause/effect 8. compare/contrast 9. cause/effect 10. sequence
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are the triangles congruent? why or why not? yes, they are congruent by…
Yes, they are congruent by either AAS or ASA.
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what do these 3 colors (tips of the triangle) represent? * 0/5 primary …
Primary Colors
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what is the perimeter of rhombus wxyz? 12 units 4√13 units 20 units √13…
$4\sqrt{13}$ units
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what is true about △abc? choose three correct answers. a(-1,3) b(-5,-1)…
$\overline{AB}\perp\overline{AC}$, The triangle is an isosceles triangle, The triangle is a right triangle.
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which rule represents the translation from the pre - image, △abc, to th…
\((x,y)\to(x + 7,y - 6)\)
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what is the missing reason in the proof? statements reasons 1. $overlin…
SSS congruence postulate
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point s lies between points r and t on rt. if rt is 10 centimeters long…
6 centimeters
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is there a series of rigid transformations that could map △rst to △xyt?…
Yes, \(\triangle RST\) can be translated so that \(S\) is mapped to \(Y\) and then rotated about \(S\) so that \(R\) is mapped to \(X\).
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which line from extremely loud and incredibly close reveals a nostalgic…
We used to Greco - Roman wrestle on the floor in there, and tell hilarious jokes, and once we hung a pendulum from the ceiling and put a circle of dominoes on the floor to prove t…
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what additional information could be used to prove △abc≅△mqr using sas?…
B. $CB = MQ = 29$ cm, E. $m\angle R = 60^{\circ}$ and $\overline{AB}\cong\overline{MQ}$
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given that d is the midpoint of ab and b is the midpoint of ac, which s…
$AC = 4DB$
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unit 4: the angle sum of a triangle question 1 find the value of each p…
The values of the pronumerals are found by subtracting the sum of the given angles in each triangle from 180°. For a complete set of answers, each triangle needs to be evaluated o…
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which quadrilateral will always have 4 - fold reflectional symmetry? tr…
square
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the rule $r_{0,90^{circ}}circ t_{- 1,1}(x,y)$ is applied to $\triangle …
A. $(2,3)$
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which is precisely defined using the undefined terms point and plane? p…
circle
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which construction requires both endpoints of the diameter and the poin…
B. an equilateral triangle inscribed in a circle
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2. given that △ymz and △qmp are identical, and yz = 13, qm = 15, and pm…
| Side | Measure | | ---- | ---- | | $\overline{ZM}$ | 15 | | $\overline{YM}$ | 15 | | $\overline{QP}$ | 13 |
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1. △abc≅△tuv. find the following side - length and angle measure. a. fi…
a. $m\angle U = 62^{\circ}$ b. $BC = 32$ cm
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1) △def≅△wvu given the information above, the following sides are equal…
3. B) $\overline{BC}\cong\overline{FD}$ 4. C) $\overline{AG}\cong\overline{VZ}$ 5. C) $\angle RQT\cong\angle XWZ$ 6. D) $\angle MNJ\cong\angle WXT$
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28. consider this conditional statement. if two numbers are negative, t…
No, Lorenzo's reasoning is incorrect. The inverse should be based on "not negative" rather than "positive". ### 29.
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write each proof. for the following proofs #1 - 2, fill in the missing …
| Statements | Reasons | |--|--| | 1. $\triangle SVT\cong\triangle SWT$ | 1. Given | | 2. $\angle VST\cong\angle WST$ | 2. Corresponding parts of congruent figures are congruent |…
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2. the following figures are congruent. find the measure of the followi…
a. 43° b. 30 km c. 21 km
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2. the following figures are congruent. find the measure of the followi…
a. ∠V = 136° b. OP = 39 km c. ST = 21 km