Question

WILL GIVE BRAINLIEST 40 POINTS

. ∆PQR≅∆TUV. Find the missing measurements.

(PQ) = (UV) = m∠T=
m∠R= (TV) =
m∠Q= m∠U=
The triangle PQR is translated 90% down and a reflection over the y-axis

Answer 1

Congruent triangles are exact same triangles, but they might be placed at different positions.

What are congruent triangles?

Suppose it is given that two triangles ΔABC ≅ ΔDEF

Then that means ΔABC and ΔDEF are congruent. Congruent triangles are exact same triangles, but they might be placed at different positions.

The order in which the congruency is written matters.

For ΔABC ≅ ΔDEF, we have all of their corresponding elements like angle and sides congruent.

Thus, we get:

$\rm m\angle A = m\angle D \: or \: \: \angle A \cong \angle D \angle B = \angle E\\\\\rm m\angle B = m\angle E \: or \: \: \angle B \cong \angle E \\\\\rm m\angle C = m\angle F \: or \: \: \angle C \cong \angle F \\\\\rm |AB| = |DE| \: \: or \: \: AB \cong DE\\\\\rm |AC| = |DF| \: \: or \: \: AC \cong DF\\\\\rm |BC| = |EF| \: \: or \: \: BC \cong EF$

(|AB| denotes the length of line segment AB, and so on for others).

Given the ∆PQR≅∆TUV, therefore, the two triangles are congruent triangles. Thus, the missing measurements can be written as,

• PQ = TU
• UV = QR
• m∠T = m∠P
• m∠R = m∠V
• TV = PR
• m∠Q = m∠U
• m∠U = m∠Q

Learn more about Congruent triangles:

https://brainly.com/question/16921692

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