Mathematics : asked on puzzledprincess8037

19.05.2021

which statement must be true about the reflection of triangle xyz across mn? select three options

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Mathematics

2 triangles are shown. Line M N is the line of reflection. Line segment X prime X has a midpoint at point A. Line segment Z prime Z has a midpoint at point B. Line segment Y prime Y has a midpoint at point C. Which statements must be true about the reflection of ΔXYZ across Line M N? Select three options. m∠X Z Y = 90° m∠MCY = 90° XX ≅ YY BZ ≅ BZ XY || X Y

Step-by-step answer

P Answered by Master

A, B, D

Step-by-step explanation:

I may be wrong, I hope this helps though.

Mathematics

Step-by-step answer

P Answered by Specialist

A, B, D

Step-by-step explanation:

I may be wrong, I hope this helps though.

Mathematics

Which statements must be true about the reflection of δxyz across ? check all that apply. m∠x z y = 90° m∠mcy = 90° xx ≅ yy bz ≅ bz zz || yy xy || x y

Step-by-step answer

P Answered by Specialist

abde or 1,2,4, 5 is the answer

step-by-step explanation:

Which statements must be true about the reflection of δxyz across ? check all that apply. m∠x'z'y'

Mathematics

Which statements must be true about the reflection of ΔXYZ across Line M N? Select three options.

Step-by-step answer

P Answered by Specialist

a, b, d

Step-by-step explanation:on 2020 edginuity

Mathematics

Which statements must be true about the reflection of ΔXYZ across Line M N? Select three options. M∠X Z Y = 90° m∠MCY = 90° XX ≅ YY BZ ≅ BZ XY || X Y

Step-by-step answer

P Answered by PhD

1.m∠X'Z'Y' = 90°

2.m∠MCY = 90°

4.BZ' ≅ BZ

on edge

Step-by-step explanation:

Mathematics

Which statements must be true about the reflection of δxyz across ?

Step-by-step answer

P Answered by Specialist

m<X'Y'Z' = 90 degrees

m<MCY = 90 degrees

BZ' ~= BZ

ZZ' || YY'

Mathematics

Which statements must be true about ru reflection of xyz across mn? select 3 options

Step-by-step answer

P Answered by Specialist

(1). m∠X'Z'Y'=90°

(2). m∠MCY=90°,

(3). Line segment BZ'≅ line segment BZ

Step-by-step explanation:

Line MN is reflecting line for ΔXYZ. Triangle X'Y'Z' is formed after reflection of ΔXYZ about a line MN. Therefore the line MN works like a symmetric axis of the given figure.

Hence

(1). m∠X'Z'Y'=90°, because ∠XYZ=90° and figure are symmetric about line MN.

(2). m∠MCY=90°, because figure is symmetric ,so line segment YY'⊥ line MN.

(3). Line BZ' ≅line BZ, because figure is symmetric about about symmetric axis line MN and Line BZ'= line BZ.

Mathematics

Which statements must be true about the reflection of δxyz across ? check all that apply. m∠x z y = 90° m∠mcy = 90° xx ≅ yy bz ≅ bz zz || yy xy || x y

Step-by-step answer

P Answered by Specialist

abde or 1,2,4, 5 is the answer

step-by-step explanation:

Mathematics

Consider that δxyz is reflected across the y-axis and translated 2 units down. choose all true statements about the transformation. x y ≅ xy ∠z ≅ ∠z δxyz is not congruent to δx y z . reflecting and translating the triangle change its shape and size.

Step-by-step answer

P Answered by PhD

X'Y' ≅ XY

∠Z ≅ ∠Z'

Step-by-step explanation:

we know that

A transformation that does not alter the size or shape of a figure is called a Rigid Transformation

Translations, rotations and reflections are rigid transformations

Verify each statement

case 1) X'Y' ≅ XY

The statement is true

Because

Reflecting and translating the triangle not change its shape or its size

The corresponding sides of the image and the pre-image are congruent

case 2) ∠Z ≅ ∠Z'

Because

Reflecting and translating the triangle not change its shape or its size

The corresponding angles of the image and the pre-image are congruent

case 3) ΔXYZ is not congruent to ΔX'Y'Z'

The statement is false

Because

ΔXYZ is congruent to ΔX'Y'Z'

case 4) Reflecting and translating the triangle change its shape and size

The statement is false

Because

Reflecting and translating the triangle not change its shape or its size

Mathematics

Step-by-step answer

P Answered by PhD

X'Y' ≅ XY

∠Z ≅ ∠Z'

Step-by-step explanation:

we know that

A transformation that does not alter the size or shape of a figure is called a Rigid Transformation

Translations, rotations and reflections are rigid transformations

Verify each statement

case 1) X'Y' ≅ XY

The statement is true

Because

Reflecting and translating the triangle not change its shape or its size

The corresponding sides of the image and the pre-image are congruent

case 2) ∠Z ≅ ∠Z'

Because

Reflecting and translating the triangle not change its shape or its size

The corresponding angles of the image and the pre-image are congruent

case 3) ΔXYZ is not congruent to ΔX'Y'Z'

The statement is false

Because

ΔXYZ is congruent to ΔX'Y'Z'

case 4) Reflecting and translating the triangle change its shape and size

The statement is false

Because

Reflecting and translating the triangle not change its shape or its size

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