shawn20034

05.07.2019 • 

Mathematics

The coordinates of the vertices of △pqr are p(1, 4) , q(2, 2) , and r(−2, 1) . the coordinates of the vertices of △p′q′r′ are p′(−1, 4) , q′(−2, 2) , and r′(2, 1) . which statement correctly describes the relationship between △pqr and △p′q′r′ ? a) △pqr is congruent to △p′q′r′ because you can map △pqr to △p′q′r′ using a reflection across the x-axis, which is a rigid motion. b) △pqr is congruent to △p′q′r′ because you can map △pqr to △p′q′r′ using a reflection across the y-axis, which is a rigid motion. c) △pqr is congruent to △p′q′r′ because you can map △pqr to △p′q′r′ using a translation 2 units to the left, which is a rigid motion. d) △pqr is not congruent to △p′q′r′ because there is no sequence of rigid motions that maps △pqr to △p′q′r′ .

Ответ:

ryliepeloquinf

11.03.2022

Mathematics

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ANSWER

The correct answer is option B

EXPLANATION

When we analyse carefully we can see that PQR is mapped on to P'Q'R' by the rule

That is to say the x-coordinates are negated. Hence y-axis is the mirror line.

Since reflection is a rigid motion, the two triangles are congruent. That means the two triangles PQR and P'Q'R' are equal in all respect.

See graph in attachment.

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Ответ:

taysomoneyyy

28.01.2021

Mathematics

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A vertical line is described by the x-coordinate only.  There is no slope involved.  (the slope of a vertical line is undefined.)
For example,
The vertical line that passes through the point (5,2) is x=5, because all points x=5 passes through all points of the form (5,k), where k is any real number.

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