Similarity and Congruence Geometry

Jamie is proving that any point on the perpendicular bisector of a line segment is equidistant for the endpoints on the line segment.

• Jamie made his first mistake in Step 3. He cannot conclude that MP is congruent to MQ based on the fact that line MS is a bisector of PQ

• Jamie mad his first mistake in Step 5. He used the statement he was trying to prove as a reason

• Jamie mad his first mistake in Step 6. The congruence statement should be Triangle SPM is congruent to triangle QSM.

• Jamie did not make any errors in his proof.

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Tags

Triangle Congruence

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• None of the proof statements could be used to prove the two parts congruent.

Tags

Triangle Congruence

What information is missing to determine if the triangles are congruent by SAS?

• CA≅ NL

• ∠C ≅ ∠N

• ∠A ≅ ∠L

• ∠B ≅ ∠M

• not enough information

Tags

Triangle Congruence

• Side-Angle-Side

• Angle-Side-Angle

• Angle-Side-Side

• Angle-Angle-Side

• Hypotenuse-Leg

Tags

Triangle Congruence

Which is the correct way to write a congruency statement about the two figures shown?

• FED ~ TSR

• FED ~ RST

• FED ~ STR

• FED ~ RTS

• They are all correct.

Tags

CCSS.HSG.CO.B.7

Which relationships could be the two missing statements? Select the two that apply.

• ∠2≅∠3

• ∠𝐴≅∠𝐴

• Δ𝐴𝐵𝐸~Δ𝐴𝐶𝐷

• Δ𝐸𝐴𝐵~Δ𝐶𝐴𝐷

Tags

CCSS.HSG.SRT.B.5

If AC≅PR what other piece of information do you need to prove the triangles are ≅ by HL Theorem?

• AC≅PR

• BC≅QR

• <A≅<P

• <C≅<R

Tags

CCSS.HSG.SRT.B.5

Choose all the statements that would prove the two triangles congruent

• U is the midpoint of segment XV

• U is the midpoint of segment YW

• Segment XY is congruent to segment WV

• Angle X is congruent to angle V

• Angle Y is congruent to angle W

Tags

Triangle Congruence

Choose all the correct statement for the given picture:

• If side MN is congruent to side RS then the two triangles are congruent by SAS.

• If side MN is congruent to side RS then the two triangles are congruent by HL.

• If side NP is congruent to side ST then the two triangles are congruent by SAS.

• If side NP is congruent to side ST then the two triangles are congruent by HL.

• If angle P is congruent to angle T then the triangles would be congruent by AAS

Tags

Triangle Congruence

Tags

Triangle Congruence