Question

Drag and drop a statement or reason to each box to complete the proof.

Given: PQ¯¯¯¯¯≅PR¯¯¯¯¯

Prove: ∠Q≅∠R

Triangle P Q R with segment P Q and segment P R each having one tick mark.

Put responses in the correct response input area to answer the question. Select a response, navigate to the desired input area and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
Statement Reason
PQ¯¯¯¯¯≅PR¯¯¯¯¯
Given
Draw PM¯¯¯¯¯¯
so that M is the midpoint of QR¯¯¯¯¯
. Two points determine a line.
Press enter key to drop response here.Response input area Definition of midpoint
PM¯¯¯¯¯¯≅PM¯¯¯¯¯¯
Press enter key to drop response here.Response input area
Press enter key to drop response here.Response input area Press enter key to drop response here.Response input area
∠Q≅∠R
Press enter key to drop response here.Response input area

Answer 1

Fill the boxes as follows:

- Statement: QM ≅ MR
Reason: Definition of midpoint

- Statement: PM ≅ PM
Reason: Reflexive property

- Statement: ΔPQM ≅ ΔPRM
Reason: SSS

- Statement: ∠Q ≅ ∠R
Reason: CPCTC (corresponding parts of congruent triangles are congruent)