Question

In the diagram below, Bonnie claims that ΔMLV ≅ ΔRLT.

Using the diagram above, determine which statements must be true for Bonnie's claim to be valid. Select Must Be True or May Be False for each statement.


Statement
Must Be True
May Be False

∠ M ≅ ∠ R


VL ≅ LT


Δ MLV can be rotated about point L to map it to Δ RLT.


A series of rigid transformations of Δ MLV maps it to Δ RLT.

Answer 1

∠ M ≅ ∠ R: true

VL ≅ LT: true 

Δ MLV can be rotated about point L to map it to Δ RLT. : false

A series of rigid transformations of Δ MLV maps it to Δ RLT. : true 

Answer 2

The congruence of triangles can be proved in several ways.

The statements that must be true are:

• $\mathbf{\angle M \cong \angle R}$
• $\mathbf{VL \cong LT}$
• A series of rigid transformations of $\mathbf{\triangle MLV}$ maps it to $\mathbf{\triangle RLT}$

The statement that may be false is:

• Δ MLV can be rotated about point L to map it to Δ RLT.

From the attached diagram, we can see that:

• Sides VL, RL and MV corresponds to sides LT, ML and RT respectively.
• Angles at M, V and L corresponds to angles at R, T and L

The above statements imply that

$\mathbf{\triangle MLV}$ was transformed by a rigid transformation to $\mathbf{\triangle RLT}$

This also means that statements 1, 2 and 4 must be true

However, statement 3 may or may not be true because the transformation from $\mathbf{\triangle MLV}$ to $\mathbf{\triangle RLT}$ appears to be a reflection, and not rotation.

Read more about transformations at:

https://brainly.com/question/11709244