Mathematics, 19.07.2020 02:01 aeviyons

Given: QR I PT and ZQPR = ZSTR Angles Segments Triangles Statements Reasons
Prove: APQR - ATSR
ZQPR
ZQRP
ZSRT
ZSTR
Q
Statements
Reasons
S
R
Assemble the proof by dragging tiles to
the Statements and Reasons columns.
Intro

Given: QR I PT and ZQPR = ZSTR

Angles Segments Triangles Statements Reasons
Prove: APQR - ATSR
ZQ

Answers: 2

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Answers

Answer from: WhiteMex69

To prove that Triangles PQR and TSR are similar triangles, the following are the complete two-column proof stating the statements with their reasons:

S1: QR is perpendicular to PT

R1: Given

S2: <QRP and <SRT are right angles

R2: Definition of perpendicular

S3: <QPR = <STR

R3: Given

S4: <QRP = <SRT

R4: All right angles are congruent

S5: Triangle PQR is similar to triangle TSR

R5: AA Similarity Theorem

What is the AA Similarity Theorem?According to AA Similarity Theorem, if two triangles have two pairs of congruent angles, then both triangles are similar to each other.

Therefore, to prove that Triangles PQR and TSR are similar triangles, the following are the complete two-column proof statimg the statements with their reasons:

S1: QR is perpendicular to PT

R1: Given

S2: <QRP and <SRT are right angles

R2: Definition of perpendicular

S3: <QPR = <STR

R3: Given

S4: <QRP = <SRT

R4: All right angles are congruent

S5: Triangle PQR is similar to triangle TSR

R5: AA Similarity Theorem

Learn more about AA Similarity Theorem on:

link

Answer from: missbecca1229p6glel

$\triangle PQR \sim \triangle TSR$

Step-by-step explanation:

Given :

QR⊥PT

$\angle QPR = \angle STR$

To Prove : $\triangle PQR \sim \triangle TSR$

Solution:

Statements Reasons

QR⊥PT Given

∠QRP and ∠SRT are right angles Def of perpendicular

∠QPR≅∠STR Given

∠QRP = ∠SRT All right angles are equal

ΔPQR≈ΔTSR AA similarity

Hence $\triangle PQR \sim \triangle TSR$

Answer from: Quest

you forgot an image

step-by-step explanation:

Answer from: Quest

what are you trying to solve here

step-by-step explanation:

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Given: QR I PT and ZQPR = ZSTR Angles Segments Triangles Statements Reasons
Prove: APQR - ATS...

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