Podcast
Questions and Answers
What property justifies that AD = AE?
What property justifies that AD = AE?
- Reflexive Property
- Multiplication Property of Equality
- Definition of Isosceles Triangle
- Midpoint Theorem (correct)
Which statement about triangle ABE is true based on the proof provided?
Which statement about triangle ABE is true based on the proof provided?
- It is not necessary to know angles to prove congruence.
- The base angles are equal.
- The legs are congruent. (correct)
- The base is congruent to itself.
What conclusion can be drawn from the congruence of triangles ABE and ACD?
What conclusion can be drawn from the congruence of triangles ABE and ACD?
- They have equal perimeters.
- Their areas are equal.
- They are similar triangles.
- Their corresponding angles are congruent. (correct)
What is the significance of the Reflexive Property in this proof?
What is the significance of the Reflexive Property in this proof?
Which property is used to conclude that $ rac{1}{2} imes AB = rac{1}{2} imes AC$?
Which property is used to conclude that $ rac{1}{2} imes AB = rac{1}{2} imes AC$?
Flashcards
Isosceles Triangle
Isosceles Triangle
A triangle with at least two sides of equal length.
Midpoint
Midpoint
A point that divides a line segment into two equal parts.
Triangle Congruence
Triangle Congruence
Two triangles are congruent if their corresponding sides and angles are equal.
Side-Angle-Side (SAS) Postulate
Side-Angle-Side (SAS) Postulate
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Reflexive Property
Reflexive Property
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Study Notes
Isosceles Triangle Midsegment Proof
- Triangle ABC is isosceles with base BC.
- Points D and E are midpoints of sides AB and AC, respectively.
Given Information
- AB = AC
- AD = AE
- ∠A = ∠A (Reflexive Property)
Congruence Theorem
- Side-Side-Side (SSS)
- Angle-Side-Angle (ASA)
- Angle-Angle-Side (AAS)
- Side-Angle-Side (SAS)
Missing Reason
- The missing reason is needed to complete the proof of congruency of two triangles, which will prove further congruencies with the given information.
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