Given: ADEF is a right triangle with an altitude FG to the base DE DG FG Prove: FG GE Statements Reasons 1. ADEF is a right triangle with an altitude FG to the 1. base DE 2. The altitude to the hypotenuse of a right triangle divides the triangle into two similar triangles. 12. DG 3 FG FG 3. GE

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Given: ADEF is a right triangle with an altitude FG to the base DE.
DG
FG
Prove:
FG
GE
Statements
Reasons
1. ADEF is a right triangle with an altitude FG to the
1.
base DE
2. The altitude to the hypotenuse of a right triangle divides the triangle into
two similar triangles.
2.
DG
3.
FG
FG
GE
Transcribed Image Text:Given: ADEF is a right triangle with an altitude FG to the base DE. DG FG Prove: FG GE Statements Reasons 1. ADEF is a right triangle with an altitude FG to the 1. base DE 2. The altitude to the hypotenuse of a right triangle divides the triangle into two similar triangles. 2. DG 3. FG FG GE
Part A: Select the correct statement that completes line 2.
O AGFD - AFEG
Ο ΔDFG -Δ FEG
Ο ΔDΕF - ΔEGF
Ο ΔDGF Δ FEG
Part B: Select the correct reason that justfies statement 3.
Angle Angle Similarity Postulate.
Corresponding sides of similar triangles are congruent.
Corresponding sides of similar triangles are proportional.
Corresponding sides of congruent triangles are congruent.
Transcribed Image Text:Part A: Select the correct statement that completes line 2. O AGFD - AFEG Ο ΔDFG -Δ FEG Ο ΔDΕF - ΔEGF Ο ΔDGF Δ FEG Part B: Select the correct reason that justfies statement 3. Angle Angle Similarity Postulate. Corresponding sides of similar triangles are congruent. Corresponding sides of similar triangles are proportional. Corresponding sides of congruent triangles are congruent.
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