幾何
三角形、円、座標幾何、証明問題。
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question 6 of 10 based only on the given information, it is guaranteed …
B. False
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3. perpendicular lines are lines that intersect to form a right angle. …
4. Transitive Property of Congruence: If \(\angle GHI\cong\angle FED\) and \(\angle FED\cong\angle ABC\), then \(\angle GHI\cong\angle ABC\) 5. Reflexive Property of Congruence: \…
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a. a nonagon has diagonals.
27
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if a point is on the bisector of an angle, then it is: a. equidistant f…
A. equidistant from the two sides of the angle.
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are all equilateral triangles isosceles? explain choose the correct ans…
D. Yes, because according to the definition, isosceles triangles have at least two congruent sides. Equilateral triangles have three congruent sides. Therefore, they have at least…
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choose the correct answer below a. no, because while some equilateral t…
D. Yes, because according to the definition, isosceles triangles have at least two congruent sides. Equilateral triangles have three congruent sides. Therefore, they have at least…
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choosing the right word u1. watching the poor mother blank her kids int…
wrangle
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f(x)=\\begin{cases}-3 &\\text{if }x < - 5 \\\\x + 2 &\\text{if }-5\\leq…
The correct graph is the one that shows a horizontal line \(y=-3\) for \(x < - 5\) (open - circle at \(x=-5\)), a line segment from \((-5,-3)\) to \((15,17)\) for \(-5\leq x\leq15…
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identify each of the following triangles as acute, obtuse, right, or eq…
a. B. acute and equiangular b. C. right c. A. obtuse
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lines c and d are parallel lines cut by transversal p. which must be tr…
$\angle2\cong\angle6$
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identify each of the following triangles as acute, obtuse, right, or eq…
a. C. acute and equiangular b. C. right c. A. obtuse
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basic constructions 1. what is each construction? 2. order the steps us…
1. First figure: Perpendicular bisector of a line - segment; Second figure: Construction of a congruent angle; Third figure: Construction of an angle - bisector. 2. Steps for bise…
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letters a, b, c, and d are angles measures. which equation is enough in…
B. \(a = d\) C. \(c = d\) E. \(b + d = 180^{\circ}\)
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given $vec{g}=(3, - 5)$ and $vec{h}=(-4,6)$, find $4vec{g}+3vec{h}$. a …
B. $\langle0,-2 angle$
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identify each of the following triangles as acute, obtuse, right, or eq…
C. acute and equiangular
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the area of the shaded sector is 10π. what is the measure of ∠aob, whic…
A. $36^{\circ}$
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what must be the value of x so that lines a and b are parallel lines cu…
22
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a. the number of diagonals that intersect at a given vertex of a triang…
$n - 3$
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given the information in the diagram, which theorem best justifies why …
converse alternate exterior angles theorem
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two sides of a triangle measure 9 and 19. which inequality shows all th…
A. \(10\lt x\lt28\)
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a. the number of diagonals that intersect at a given vertex of a triang…
18
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question 4 of 10 what is the measure of ∠abc in the figure below? a. 42…
C. $84^{\circ}$
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a. the number of diagonals that intersect at a given vertex of a triang…
5
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ab is tangent to circle o at point a, and mac = 69. what is m∠abc?
D. 21
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question 3 of 10 if a point is on the perpendicular bisector of a segme…
B. equidistant from the endpoints of the segment
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what is the measure of ∠7? a 33° b 137° c 43° d 47°
B. $137^{\circ}$
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the figure shows a right triangle next to a square. what is the total a…
D. $50$ $cm^{2}$
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a. the number of diagonals that intersect at a given vertex of a triang…
0
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question 2 of 10 what is the measure of ∠abc in the figure below? a 15 …
C. $45^{\circ}$
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which two - dimensional shape could be created by a plane slicing verti…
D. pentagon
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true or false circle t for true, or circle f for false. 1. t f it is im…
1. T 2. F 3. F 4. T 5. T 6. F 7. T 8. T
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pq is reflected across the line x = - 3. the coordinates of the endpoin…
D. $(-8,4)$
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the formula that relates the length of a ladder, l, that leans against …
C. 14.6 feet
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given the triangle below, what is the length of the hypotenuse? 2 cm 4 …
D. \(\sqrt{20}\) cm
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geometry unit 2 lesson 1 practice name ____________ date ____________ p…
1. By the definition of mid - point. 2. Vertical angles are congruent by the vertical angles theorem. 3. Perpendicular lines intersect to form right angles by the definition of pe…
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determine how many diagonals each of the following polygons has. a. hep…
$\frac{n(n - 3)}{2}$
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directions: select all the best responses. given the biconditional stat…
A. A square is a rectangle with four congruent sides. B. A rectangle with four congruent sides is a square.
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determine how many diagonals each of the following polygons has. a. hep…
135
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determine how many diagonals each of the following polygons has. a. hep…
27
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determine how many diagonals each of a. heptagon a. a heptagon has diag…
14
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if possible, draw an obtuse equilateral triangle. if it is not possible…
A. It is not possible because an equilateral triangle has three 60° angles.
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can a regular polygon be concave? explain. choose the correct answer be…
B. No, a concave polygon has at least one angle greater than 180° and some angles less than 180°. Therefore, the figure cannot have all the same angles and cannot be a regular pol…
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complete the sketch of each figure so that it has line symmetry about l…
A.
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for questions 1 - 3, determine if each of the following represents a de…
1. Definition 2. Theorem 3. Definition 4. $\angle GHI\cong\angle ABC$ 5. If $m\angle A = m\angle A$ (equality example) 6. Symmetric (property name for the equality and congruence …
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complete the sketch of each figure so that it has line symmetry about l…
B.
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what is the standard form of the equation of the circle shown below? a …
B. $(x + 2)^2+(y - 2)^2=16$
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example 2 find the length of a segment try it! 2. refer to the figure s…
7
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wxyz is a rectangle. what is m∠yzx? (not drawn to scale) a 13 b 53 c 37…
B. 53
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the radius of a circle with an area of 60 square centimeters is represe…
$\frac{2\sqrt{15\pi}}{\pi}$ (corresponding to the third - option in the multiple - choice list)
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what is m∠bac? (not drawn to scale)
A. 30
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the diagram represents the intersection v of a and b. directions: selec…
and
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the volume of this cylinder is 6,898.58 cubic yards. what is the radius…
13 yards
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what is the volume? 18 in 11 in 6 in cubic inches
1188
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a rectangle is 17 inches long and 7 inches wide. find its area. a 112 s…
C. 119 square inches
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directions: select the best response. what valid conclusion that can be…
All vertical angles have the same measure.
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try it! 1. refer to the figure shown. how can you find the length of ac?
4
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which triangle is congruent to △abc?
D. Option D's triangle is congruent to \(\triangle ABC\) as it has the same side - angle - side combination.
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directions: select the best response. what is the contra - positive of …
If they are not vertical angles, then they are not opposite angles formed by two intersecting lines.
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(a) an angle measures 110°. what is the measure of its supplement? (b) …
measure of the supplement: $70^{\circ}$ measure of the complement: $62^{\circ}$
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which is the best response? if two angles formed by two intersecting li…
If two angles are not opposite angles formed by two intersecting lines, then they are not vertical angles.
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the grid shows many different single transformations of jsk. which tria…
A. $\triangle MGR$ C. $\triangle FZN$ D. $\triangle L DQ$ E. $\triangle PBW$ F. $\triangle VXY$
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what two perpendicular displacements will move an object from the origi…
Up: 3 m Down: 0 m Right: 4 m Left: 0 m
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in the figure below, points t, r, x, y, and z lie in plane p. points q …
(a) $TRX$ (b) $Y$ (or $Z$) (c) $T$, $R$, $X$ (d) $\overleftrightarrow{RS}$
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the diagram shows △rft and △rft. △rft is a transformation of △rft. whic…
A. reflection over the line $PK$
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the diagram shows △saw and △saw. △saw is a transformation of △saw. whic…
Reflection over the line \(N\)
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in the figure below, (jk = 16) and (kl = 7). find (jl).
$23$
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1.6.7 check your understanding the diagram shows four different single …
$\triangle FXV$: Rotation $\triangle PLW$: Translation $\triangle ZTR$: Reflection $\triangle KNH$: Dilation
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(a) an angle measures 32°. what is the measure of its complement? (b) a…
measure of the complement: $58^{\circ}$ measure of the supplement: $149^{\circ}$
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1.6.7 check your understanding the grid shows many different single tra…
(Without seeing the actual grid clearly, assume correct ones after visual check) If △ARTN and △ZKD have the same orientation as △XHC and are just shifted positions, then the answe…
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(a) an angle measures 27°. what is the measure of its complement? (b) a…
measure of the complement: $63$° measure of the supplement: $150$°
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in the figure below, points q, x, y, and s lie in plane p. points r and…
(a) $QXY$ (b) $\overleftrightarrow{XY}$ (c) $R$ (second blank can also be any point on the line segment between $T$ and $R$ like a mid - point etc, but $R$ is a simple choice); $R…
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what two perpendicular displacements will move an object from the origi…
Up: 3 m Down: 0 m Right: 4 m Left: 0 m
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step one: identify word parts 1. write the word. perfect 2. mark the vo…
1. Word: perfect 2. Vowels marked: 'e','e' 3. Number of syllables: 2 4. Base/root word underlined: per - fect 5. No prefixes or suffixes circled as 'perfect' has no clear prefix/s…
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9 ac = bc cos ∠b = 1/3 an/cm =?
$\frac{2\sqrt{3}}{3}$
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step one: identify word parts 1. write the word. perfect 2. mark the vo…
3. 2 4. fect 5. per -
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prepare for rigid transformations 1 think about what you know about geo…
**Examples**: Railway tracks, opposite sides of a rectangle, opposite sides of a parallelogram. **Non - Examples**: Intersecting lines on a cross - road, the minute and hour hands…
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in an attempt to settle the long strike, a third party was asked to 1 m…
4. intercede
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which angles are adjacent to each other? ∠7 and ∠6 ∠10 and ∠5 ∠10 and ∠…
∠7 and ∠6
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6. look at the figure. name the plane represented by the bottom side of…
plane ABCD
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which statements justify that the dilation of triangle stu is an enlarg…
The triangle pre-image is closer to the point of dilation than the image., The value of the scale factor, 6, is greater than 1.
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3. look at the figure. what is the intersection of planes qtu and rsv? …
$\overrightarrow{ST}$
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the given line segment has a mid - point at (3, 1). what is the equatio…
$y=\frac{1}{3}x$
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7 look at the figure. what is the intersection of planes qtu and uvw? t…
$\overline{UX}$
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what are the x - intercepts of the graphed function? (-3,0) and (0,1.5)…
(-3,0) and (1,0)
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triangle abc has vertices a(1,4), b(-2,4), and c(-1,-1). a dilation wit…
\((-0.5,1)\)
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the graph shows the relationship between the volume of a rectangular pr…
3
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9.) find mp if the coordinate of m is 11.7 and the coordinate of p is z…
6
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what additional information is needed to prove that the triangles are c…
∠LAO ≅ ∠LAM
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is this pattern a net for the three - dimensional figure? yes no
yes
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chang knows one side of a triangle is 13 cm. which set of two sides is …
D. 8 cm and 9 cm
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10 nq = mq ne/qf =? 11
$\frac{\sqrt{3}}{3}$
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5. the net folds into the cube shown beside it. which letters will be o…
F and C
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problem 3 is pqrst a scaled copy of abcde? select the correct choice.
A. Yes
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two parallel lines are crossed by a transversal. what is the value of x…
$x = 115$
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lines b and c are parallel. what is the measure of ∠6? m∠6 = 45° m∠6 = …
\(m\angle6 = 54^{\circ}\)
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two parallel lines are crossed by a transversal. what is the value of a…
\(a = 63\)
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question which of the following statements must be true based on the di…
None of the above.
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two parallel lines are crossed by a transversal. if m∠6 = 123.5°, then …
$56.5^{\circ}$
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which of the following statements must be true based on the diagram bel…
$\overline{UY}$ is a segment bisector.
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3. stories that come from different parts of the world, cultures or tim…
a) Good and evil always exist together in the world.