Answers MISD-Geometry-RECOVERY-A-2019-2020Directed Line Segments and Modeling

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A regular polygon has possible angles of rotational symmetry of 20°, 40°, and 80°. How many sides does the polygon have?

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Point E is drawn on the graph so that line EF is parallel to line CD.

−8

−4

Given that D is the midpoint of AB and B is the midpoint of AC, which statement must be true?

AD = AC

AC = 4DB

AB + DC = AC

BK = KC

On a coordinate plane, a triangle has points A prime (negative 2, 10), B prime (negative 6, 4), and (negative 10, 8).

(10, –2)

(–10, 2)

(–2, –10)

(2, 10)

What are the coordinates of the midpoint of EF if point E is located at (–12, 5) and point F is located at (7, –9)?

Option

Which shows the pre-image of triangle X'Y'Z' before the figure was rotated 90° about the origin?

On a coordinate plane, a triangle has points X (2, negative 2), Y (6, 0), Z (1, 1).

On a coordinate plane, a triangle has points X (2, 2), Y (6, 0), and Z (1, negative 1).

On a coordinate plane, a triangle has points X (negative 2, negative 2), Y (6, 0), Z (negative 1, 1).

On a coordinate plane, a triangle has points X (negative 2, 2), Y (negative 6, 0), Z (negative 1, negative 1).

Triangle ABC was reflected over line m, then dilated by a scale factor between 0 and 1. Which diagram illustrates these transformations?

Triangle A B C is reflected across line m and then is dilated to form smaller triangle A double-prime B double-prime C double-prime

Triangle A B C is rotated about line m and then dilated to form smaller triangle A double-prime B double-prime C double-prime

Triangle A B C is reflected across line m and then is dilated to form larger triangle A double-prime B double-prime C double-prime

Triangle A B C is rotated about line m and then dilated to form larger triangle A double-prime B double-prime C double-prime

On a coordinate plane, 2 triangles are shown. Triangle L M N has points (negative 1, 3), (3, 1), and (negative 1, 1). Triangle L prime M prime N prime has points (negative 2, negative 1), (6, negative 5), and (negative 2, negative 5).

a dilation with a scale factor less than 1 and then a reflection

a dilation with a scale factor less than 1 and then a translation

a dilation with a scale factor greater than 1 and then a reflection

a dilation with a scale factor greater than 1 and then a translation

Let p: It is rainingLet q: Robert is laughing.Assume p is true. Select two statements that must logically be true.p ∨ qp ∧ qq → pp → qq ↔ p

p ∨ q

p ∧ q

q → p

p → q

q ↔ p

The proof that ΔABC ≅ ΔCDA is shown.Given: ∥ and ∥ Prove: ΔABC ≅ ΔCDA

perpendicular bisector theorem

Pythagorean theorem

HL theorem

SSS congruence theorem

On a coordinate plane, a square has points A (negative 5, 2), B (1, 2), C (negative 4, 1), and D (negative 5, negative 4).

Option

Four points partition the directed line segment from A to B.• Point P partitions the directed line segment from A to B into a 3:4 ratio. • Point Q partitions the directed line segment from A to B into a 4:3 ratio. • Point R partitions the directed line segment from A to B into a 2:5 ratio. • Point S partitions the directed line segment from A to B into a 5:2 ratio.

Triangles R S T and X Y T are congruent. Triangle R S T is reflected across a line and then rotated at point T to form triangle X Y T.

No, ΔRST and ΔXYT are congruent but ΔRST cannot be mapped to ΔXYT using a series rigid transformations.

No, ΔRST and ΔXYT are not congruent.

Yes, ΔRST can be reflected across the line containing RT and then rotated about T so that S is mapped to Y.

Yes, ΔRST can be translated so that S is mapped to Y and then rotated about S so that R is mapped to X.

Triangle RST has vertices R(2, 0), S(4, 0), and T(1, –3). The image of triangle RST after a rotation has verticesR'(0, –2), S'(0, –4), and T'(–3, –1). Which rule describes the transformation?

R0, 90°

R0, 180°

R0, 270°

R0, 360°

Which statements about the diagram are true? Select three options.

x = 63

y = 47

z = 117

x + y = 180

x + z = 180

Horizontal and parallel lines M Q and U R are intersected by 2 diagonal lines N S and P T to form triangle E G F. Line N S intersects line M Q at point E and intersects line U R at point F. Line P T intersects line M Q at point E and intersects line U R at point G.

∠MEG

∠NEG

∠PEQ

∠RFS

The diagram represents three statements about teachers: p, q, and r.

Triangles K L P and Q M N are shown. Triangle Q M N is slightly higher than triangle K L P and side Q M connects to side K P. Point M is at the midpoint of K P. Sides K L and Q N are congruent. Angles K L P and Q N M are congruent. Angles K P L and Q M N are both right angles.

No, KLP and QNM are congruent but KLP cannot be mapped to QNM using a series rigid transformations.

No, KLP and QNM are not congruent.

Yes, KLP can be reflected across the line containing KP and then translated so that P is mapped to M.

Yes, KLP can be rotated about P and then translated so that L is mapped to N.

The triangles are congruent by the SSS congruence theorem.

reflection, then rotation

reflection, then translation

rotation, then translation

rotation, then dilation

Consider the diagram.

2 units.

5 units.

17 units.

33 units.

Triangles C B A and R Q P are shown. The length of C B is 10, the length of B A is 10, and the length of A C is 14. The length of R Q is y, the length of Q P is 6, and the length of P R is 28.

On a coordinate plane, 2 triangles are shown. Triangle 1 has points at A (negative 3, 4), B (negative 2, 1), C (negative 4, 1). Triangle 2 has points at A prime (4, negative 2), B prime (3, negative 5), C prime (5, negative 5).

(x, y) → (x + 7, y + 6)

(x, y) → (x + 7, y – 6)

(x, y) → (x – 6, y + 7)

(x, y) → (x + 6, y + 7)

Ricardo has a square hot tub. He wants to build a square pool next to it that is a dilation of the hot tub using a scale factor of 5.

4 ft

4.8 ft

6 ft

7.2 ft

What is the contrapositive of the statement?All squares are rectangles.

If a figure is a square, then it is a rectangle.

If a figure is a rectangle, then it is a square.

If a figure is not a square, then it is not a rectangle.

If a figure is not a rectangle, then it is not a square.

An isosceles right triangle has leg lengths of 4 centimeters. What is the length of the altitude drawn from the right angle to the hypotenuse?

2 cm

4 cm

Given: a ∥ b and ∠1 ≅ ∠3Prove: e ∥ fWe know that angle 1 is congruent to angle 3 and that line a is parallel to line b because they are given. We see that __________ by the alternate exterior angles theorem. Therefore, angle 2 is congruent to angle 3 by the transitive property. So, we can conclude that lines e and f are parallel by the converse alternate exterior angles theorem.Which information is missing in the paragraph proof?

∠2 ≅ ∠4

∠1 ≅ ∠2

∠2 ≅ ∠3

∠1 ≅ ∠4

On a coordinate plane, a line goes through (negative 3, 2) and (2, negative 1). A point is at (3, 0).

3x + 5y = −9

3x + 5y = 9

5x − 3y = −15

5x − 3y = 15

Horizontal and parallel lines c and d are cut by transversal p. At the intersection of lines c and p, the uppercase left angle is angle 1 and the uppercase right angle is angle 2. At the intersection of lines d and p, the uppercase right angle is angle 3 and the bottom left angle is angle 4.

m∠1 = 81° and m∠2 = 99°

m∠3 = 99° and m∠4 = 99°

m∠2 = 99° and m∠4 = 99°

m∠4 = 81° and m∠1 = 81°

Triangles R S T and V U T are connected at point T.

RT = ST

3ST = UT

∠R ≅ ∠V

∠V ≅ ∠U

On a coordinate plane, a graph shows Street on the x-axis and Avenue on the y-axis. A line is drawn from Tia to Lei. Tia is at (4, 8) and Lei is at (12, 20).

6th Street and 11th Avenue

10th Street and 17th Avenue

9th Street and 15th Avenue

8th Street and 14th Avenue

Planes A and B are shown.

Line p must be drawn in plane B.

Line p must be perpendicular to line m.

Line p must be drawn so that it can lie in the same plane as line l.

Line p must be drawn in the same plane as line n.

Triangle J K L is shown. Angle J K L is a right angle. An altitude is drawn from point K to point M on side L J to form a right angle. The length of K M is 6 and the length of M J is 3.

9 units

12 units

15 units

18 units

Which quadrilateral will always have 4-fold reflectional symmetry?

trapezoid

rhombus

square

rectangle

A line segment has endpoints at (3, 2) and (2, –3). Which reflection will produce an image with endpoints at (3, –2) and (2, 3)?

a reflection of the line segment across the x-axis

a reflection of the line segment across the y-axis

a reflection of the line segment across the line y = x

a reflection of the line segment across the line y = –x

On a coordinate plane, a line goes through (0, negative 4) and (12, 6). A point is at (12, negative 2).

y = – + 10

y = – + 12

y = – – 10

y = – 12

Which figures are shown in the diagram? Select three options.

line CD

point D

ray CD

ray DC

segment CD

Which statements regarding are true? Select three options.

E F + F G greater-than E G

E G + F G greater-than E F

E G minus F G less-than E F

E F minus F G greater-than E G

E G + E F less-than F G

Question text not available

If a triangle is equilateral, then the triangle must also be isosceles.

If a triangle is isosceles, then the triangle must also be equilateral.

If a triangle is isosceles, then the triangle will never also be equilateral.

If a triangle is equilateral, then the triangle will not always be isosceles.

Pentagon ABCDE is dilated according to the ruleDO,3(x,y) to create the image pentagon A'B'C'D'E', which is shown on the graph.

(-1, 1)

(-1, 2)

(-9, 6)

(-9, 18)

Line ST and point V are shown on the graph.

−7

−5

Which distance measures 5 units?

the distance between points W and X

the distance between points X and Y

the distance between points X and Z

the distance between points Y and Z

Rectangle ABCD was dilated to create rectangle A'B'C'D.

6 units

7.6 units

9.5 units

12 units

Triangle A B C is cut by line segment S T. Line segment S T goes from side A B to side C B. Lines S T and A C are parallel. The length of S B is 10 feet, the length of B T is 9 feet, and the length of C T is 2.7 feet.

1.89 ft

2.43 ft

3 ft

7 ft

A line contains the following points left to right: R, T, U, S. The space between R and T is 12 units. The space between R and S is 24 units.

SU + UT = RT

RT + TU = RS

RS + SU = RU

TU + US = RS

Point S lies between points R and T on .

2 centimeters

4 centimeters

6 centimeters

8 centimeters

Triangles A B C and E F D are shown. The lengths of sides A B and E D are congruent. Angles C A B and E D F are 33 degrees. Angle A C B is 88 degrees and angle D E F is 58 degrees.

Yes, A ≅ D and AB ≅ DE.

Yes, they are congruent by either AAS or ASA.

No, C is not congruent to any angle in DEF.

No, the congruent sides do not correspond.

Which is precisely defined using the undefined terms point and plane?

circle

line segment

perpendicular lines

ray

Triangle K L J is cut by line segment N O. Line segment N O goes from side L K to side L J. The length of L N is (x minus 3) inches, the length of N K is (x + 2) inches, the length of L O is (x minus 4) inches, and the length of O J is x inches.