(a) Explanation Given: Figure is shown as. E F → ∥ R S → . Calculation: In Δ F X E and Δ S X R . ∠ X = ∠ X ∴ ( Common ) ∠ X F E = ∠ X S R ∴ ( Alternate angle, E F → ∥ R S → ) Therefore, by AA postulate Δ F X E ∼ Δ S X R . So, it has been proved that Δ F X E ∼ Δ S X R . (c) To determine To Prove: that F X S X = E F R S in the figure shown such that E F → ∥ R S → . Explanation Given: Figure is shown as. E F → ∥ R S → . Calculation: In Δ F X E and Δ S X R . ∠ X = ∠ X ∴ ( Common ) ∠ X F E = ∠ X S R ∴ ( Alternate angle, E F → ∥ R S → ) Therefore, by AA postulate Δ F X E ∼ Δ S X R . Ratio of corresponding sides in two similar triangles is equal. Since, Δ F X E ∼ Δ S X R therefore. F X S X = E F R S

McDougal Littell Jurgensen Geometry: Student Edition Geometry

5th Edition

ISBN: 9780395977279

Author: Ray C. Jurgensen, Richard G. Brown, John W. Jurgensen

Publisher: Houghton Mifflin Company College Division

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Polygon with three sides, three angles, and three vertices. Based on the properties of each side, the types of triangles are scalene (triangle with three three different lengths and three different angles), isosceles (angle with two equal sides and two equal angles), and equilateral (three equal sides and three angles of 60°). The types of angles are acute (less than 90°); obtuse (greater than 90°); and right (90°).

Chapter 7.4, Problem 21WE

(a)

To determine

To Prove: that triangles ΔFXE∼ΔSXR in the figure shown such that EF→∥RS→ .

(a)

Expert Solution

Explanation of Solution

Given:

Figure is shown as.

McDougal Littell Jurgensen Geometry: Student Edition Geometry, Chapter 7.4, Problem 21WE , additional homework tip 1

EF→∥RS→ .

Calculation:

In ΔFXE and ΔSXR .

∠X=∠X ∴(Common)∠XFE=∠XSR ∴(Alternate angle,EF→∥RS→)

Therefore, by AA postulate ΔFXE∼ΔSXR.

So, it has been proved that ΔFXE∼ΔSXR .

(c)

To determine

To Prove: that FXSX=EFRS in the figure shown such that EF→∥RS→ .

(c)

Expert Solution

Explanation of Solution

Given:

Figure is shown as.

McDougal Littell Jurgensen Geometry: Student Edition Geometry, Chapter 7.4, Problem 21WE , additional homework tip 2

EF→∥RS→ .

Calculation:

In ΔFXE and ΔSXR .

∠X=∠X ∴(Common)∠XFE=∠XSR ∴(Alternate angle,EF→∥RS→)

Therefore, by AA postulate ΔFXE∼ΔSXR.

Ratio of corresponding sides in two similar triangles is equal.

Since, ΔFXE∼ΔSXR therefore.

FXSX=EFRS

Chapter 7.4, Problem 20WE

Chapter 7.4, Problem 22WE

Chapter 7 Solutions

McDougal Littell Jurgensen Geometry: Student Edition Geometry

Ch. 7.1 - Prob. 1CE Ch. 7.1 - Prob. 2CE Ch. 7.1 - Prob. 3CE Ch. 7.1 - Prob. 4CE Ch. 7.1 - Prob. 5CE Ch. 7.1 - Prob. 6CE Ch. 7.1 - Prob. 7CE Ch. 7.1 - Prob. 8CE Ch. 7.1 - Prob. 9CE Ch. 7.1 - Prob. 10CE

Ch. 7.1 - Prob. 11CE Ch. 7.1 - Prob. 12CE Ch. 7.1 - Prob. 13CE Ch. 7.1 - Prob. 14CE Ch. 7.1 - Prob. 15CE Ch. 7.1 - Prob. 16CE Ch. 7.1 - Prob. 17CE Ch. 7.1 - Prob. 18CE Ch. 7.1 - Prob. 1WE Ch. 7.1 - Prob. 2WE Ch. 7.1 - Prob. 3WE Ch. 7.1 - Prob. 4WE Ch. 7.1 - Prob. 5WE Ch. 7.1 - Prob. 6WE Ch. 7.1 - Prob. 7WE Ch. 7.1 - Prob. 8WE Ch. 7.1 - Prob. 9WE Ch. 7.1 - Prob. 10WE Ch. 7.1 - Prob. 11WE Ch. 7.1 - Prob. 12WE Ch. 7.1 - Prob. 13WE Ch. 7.1 - Prob. 14WE Ch. 7.1 - Prob. 15WE Ch. 7.1 - Prob. 16WE Ch. 7.1 - Prob. 17WE Ch. 7.1 - Prob. 18WE Ch. 7.1 - Prob. 19WE Ch. 7.1 - Prob. 20WE Ch. 7.1 - Prob. 21WE Ch. 7.1 - Prob. 22WE Ch. 7.1 - Prob. 23WE Ch. 7.1 - Prob. 24WE Ch. 7.1 - Prob. 25WE Ch. 7.1 - Prob. 26WE Ch. 7.1 - Prob. 27WE Ch. 7.1 - Prob. 28WE Ch. 7.1 - Prob. 29WE Ch. 7.1 - Prob. 30WE Ch. 7.1 - Prob. 31WE Ch. 7.1 - Prob. 32WE Ch. 7.1 - Prob. 33WE Ch. 7.1 - Prob. 34WE Ch. 7.1 - Prob. 35WE Ch. 7.1 - Prob. 36WE Ch. 7.2 - Prob. 1CE Ch. 7.2 - Prob. 2CE Ch. 7.2 - Prob. 3CE Ch. 7.2 - Prob. 4CE Ch. 7.2 - Prob. 5CE Ch. 7.2 - Prob. 6CE Ch. 7.2 - Prob. 7CE Ch. 7.2 - Prob. 8CE Ch. 7.2 - Prob. 9CE Ch. 7.2 - Prob. 10CE Ch. 7.2 - Prob. 11CE Ch. 7.2 - Prob. 12CE Ch. 7.2 - Prob. 13CE Ch. 7.2 - Prob. 14CE Ch. 7.2 - Prob. 15CE Ch. 7.2 - Prob. 16CE Ch. 7.2 - Prob. 1WE Ch. 7.2 - Prob. 2WE Ch. 7.2 - Prob. 3WE Ch. 7.2 - Prob. 4WE Ch. 7.2 - Prob. 5WE Ch. 7.2 - Prob. 6WE Ch. 7.2 - Prob. 7WE Ch. 7.2 - Prob. 8WE Ch. 7.2 - Prob. 9WE Ch. 7.2 - Prob. 10WE Ch. 7.2 - Prob. 11WE Ch. 7.2 - Prob. 12WE Ch. 7.2 - Prob. 13WE Ch. 7.2 - Prob. 14WE Ch. 7.2 - Prob. 15WE Ch. 7.2 - Prob. 16WE Ch. 7.2 - Prob. 17WE Ch. 7.2 - Prob. 18WE Ch. 7.2 - Prob. 19WE Ch. 7.2 - Prob. 20WE Ch. 7.2 - Prob. 21WE Ch. 7.2 - Prob. 22WE Ch. 7.2 - Prob. 23WE Ch. 7.2 - Prob. 24WE Ch. 7.2 - Prob. 25WE Ch. 7.2 - Prob. 26WE Ch. 7.2 - Prob. 27WE Ch. 7.2 - Prob. 28WE Ch. 7.2 - Prob. 29WE Ch. 7.2 - Prob. 30WE Ch. 7.2 - Prob. 31WE Ch. 7.2 - Prob. 32WE Ch. 7.2 - Prob. 33WE Ch. 7.2 - Prob. 34WE Ch. 7.2 - Prob. 35WE Ch. 7.2 - Prob. 36WE Ch. 7.2 - Prob. 37WE Ch. 7.2 - Prob. 38WE Ch. 7.2 - Prob. 39WE Ch. 7.2 - Prob. 40WE Ch. 7.2 - Prob. 41WE Ch. 7.2 - Prob. 42WE Ch. 7.2 - Prob. 43WE Ch. 7.3 - Prob. 1CE Ch. 7.3 - Prob. 2CE Ch. 7.3 - Prob. 3CE Ch. 7.3 - Prob. 4CE Ch. 7.3 - Prob. 5CE Ch. 7.3 - Prob. 6CE Ch. 7.3 - Prob. 7CE Ch. 7.3 - Prob. 8CE Ch. 7.3 - Prob. 9CE Ch. 7.3 - Prob. 10CE Ch. 7.3 - Prob. 1WE Ch. 7.3 - Prob. 2WE Ch. 7.3 - Prob. 3WE Ch. 7.3 - Prob. 4WE Ch. 7.3 - Prob. 5WE Ch. 7.3 - Prob. 6WE Ch. 7.3 - Prob. 7WE Ch. 7.3 - Prob. 8WE Ch. 7.3 - Prob. 9WE Ch. 7.3 - Prob. 10WE Ch. 7.3 - Prob. 11WE Ch. 7.3 - Prob. 12WE Ch. 7.3 - Prob. 13WE Ch. 7.3 - Prob. 14WE Ch. 7.3 - Prob. 15WE Ch. 7.3 - Prob. 16WE Ch. 7.3 - Prob. 17WE Ch. 7.3 - Prob. 18WE Ch. 7.3 - Prob. 19WE Ch. 7.3 - Prob. 20WE Ch. 7.3 - Prob. 21WE Ch. 7.3 - Prob. 22WE Ch. 7.3 - Prob. 23WE Ch. 7.3 - Prob. 24WE Ch. 7.3 - Prob. 25WE Ch. 7.3 - Prob. 26WE Ch. 7.3 - Prob. 27WE Ch. 7.3 - Prob. 28WE Ch. 7.3 - Prob. 29WE Ch. 7.3 - Prob. 30WE Ch. 7.3 - Prob. 31WE Ch. 7.3 - Prob. 32WE Ch. 7.3 - Prob. 33WE Ch. 7.3 - Prob. 34WE Ch. 7.3 - Prob. 35WE Ch. 7.3 - Prob. 36WE Ch. 7.3 - Prob. 37WE Ch. 7.3 - Prob. 1ST1 Ch. 7.3 - Prob. 2ST1 Ch. 7.3 - Prob. 3ST1 Ch. 7.3 - Prob. 4ST1 Ch. 7.3 - Prob. 5ST1 Ch. 7.3 - Prob. 6ST1 Ch. 7.3 - Prob. 7ST1 Ch. 7.3 - Prob. 8ST1 Ch. 7.3 - Prob. 9ST1 Ch. 7.3 - Prob. 10ST1 Ch. 7.3 - Prob. 11ST1 Ch. 7.3 - Prob. 12ST1 Ch. 7.3 - Prob. 13ST1 Ch. 7.3 - Prob. 14ST1 Ch. 7.3 - Prob. 15ST1 Ch. 7.3 - Prob. 1E Ch. 7.3 - Prob. 2E Ch. 7.4 - Prob. 1CE Ch. 7.4 - Prob. 2CE Ch. 7.4 - Prob. 3CE Ch. 7.4 - Prob. 4CE Ch. 7.4 - Prob. 5CE Ch. 7.4 - Prob. 6CE Ch. 7.4 - Prob. 7CE Ch. 7.4 - Prob. 8CE Ch. 7.4 - Prob. 9CE Ch. 7.4 - Prob. 10CE Ch. 7.4 - Prob. 11CE Ch. 7.4 - Prob. 12CE Ch. 7.4 - Prob. 13CE Ch. 7.4 - Prob. 1WE Ch. 7.4 - Prob. 2WE Ch. 7.4 - Prob. 3WE Ch. 7.4 - Prob. 4WE Ch. 7.4 - Prob. 5WE Ch. 7.4 - Prob. 6WE Ch. 7.4 - Prob. 7WE Ch. 7.4 - Prob. 8WE Ch. 7.4 - Prob. 9WE Ch. 7.4 - Prob. 10WE Ch. 7.4 - Prob. 11WE Ch. 7.4 - Prob. 12WE Ch. 7.4 - Prob. 13WE Ch. 7.4 - Prob. 14WE Ch. 7.4 - Prob. 15WE Ch. 7.4 - Prob. 16WE Ch. 7.4 - Prob. 17WE Ch. 7.4 - Prob. 18WE Ch. 7.4 - Prob. 19WE Ch. 7.4 - Prob. 20WE Ch. 7.4 - Prob. 21WE Ch. 7.4 - Prob. 22WE Ch. 7.4 - Prob. 23WE Ch. 7.4 - Prob. 24WE Ch. 7.4 - Prob. 25WE Ch. 7.4 - Prob. 26WE Ch. 7.4 - Prob. 27WE Ch. 7.4 - Prob. 28WE Ch. 7.4 - Prob. 29WE Ch. 7.4 - Prob. 30WE Ch. 7.4 - Prob. 31WE Ch. 7.4 - Prob. 32WE Ch. 7.4 - Prob. 33WE Ch. 7.4 - Prob. 34WE Ch. 7.4 - Prob. 35WE Ch. 7.4 - Prob. 1C Ch. 7.4 - Prob. 2C Ch. 7.4 - Prob. 1AE Ch. 7.4 - Prob. 2AE Ch. 7.4 - Prob. 3AE Ch. 7.4 - Prob. 4AE Ch. 7.4 - Prob. 1BE Ch. 7.4 - Prob. 2BE Ch. 7.4 - Prob. 3BE Ch. 7.4 - Prob. 4BE Ch. 7.5 - Prob. 1CE Ch. 7.5 - Prob. 2CE Ch. 7.5 - Prob. 3CE Ch. 7.5 - Prob. 4CE Ch. 7.5 - Prob. 5CE Ch. 7.5 - Prob. 6CE Ch. 7.5 - Prob. 7CE Ch. 7.5 - Prob. 8CE Ch. 7.5 - Prob. 9CE Ch. 7.5 - Prob. 1WE Ch. 7.5 - Prob. 2WE Ch. 7.5 - Prob. 3WE Ch. 7.5 - Prob. 4WE Ch. 7.5 - Prob. 5WE Ch. 7.5 - Prob. 6WE Ch. 7.5 - Prob. 7WE Ch. 7.5 - Prob. 8WE Ch. 7.5 - Prob. 9WE Ch. 7.5 - Prob. 10WE Ch. 7.5 - Prob. 11WE Ch. 7.5 - Prob. 12WE Ch. 7.5 - Prob. 13WE Ch. 7.5 - Prob. 14WE Ch. 7.5 - Prob. 15WE Ch. 7.5 - Prob. 16WE Ch. 7.5 - Prob. 17WE Ch. 7.5 - Prob. 18WE Ch. 7.5 - Prob. 19WE Ch. 7.5 - Prob. 20WE Ch. 7.5 - Prob. 21WE Ch. 7.5 - Prob. 22WE Ch. 7.5 - Prob. 23WE Ch. 7.5 - Prob. 1MRE Ch. 7.5 - Prob. 2MRE Ch. 7.6 - Prob. 1CE Ch. 7.6 - Prob. 2CE Ch. 7.6 - Prob. 3CE Ch. 7.6 - Prob. 4CE Ch. 7.6 - Prob. 5CE Ch. 7.6 - Prob. 6CE Ch. 7.6 - Prob. 7CE Ch. 7.6 - Prob. 8CE Ch. 7.6 - Prob. 9CE Ch. 7.6 - Prob. 1WE Ch. 7.6 - Prob. 2WE Ch. 7.6 - Prob. 3WE Ch. 7.6 - Prob. 4WE Ch. 7.6 - Prob. 5WE Ch. 7.6 - Prob. 6WE Ch. 7.6 - Prob. 7WE Ch. 7.6 - Prob. 8WE Ch. 7.6 - Prob. 9WE Ch. 7.6 - Prob. 10WE Ch. 7.6 - Prob. 11WE Ch. 7.6 - Prob. 12WE Ch. 7.6 - Prob. 13WE Ch. 7.6 - Prob. 14WE Ch. 7.6 - Prob. 15WE Ch. 7.6 - Prob. 16WE Ch. 7.6 - Prob. 17WE Ch. 7.6 - Prob. 18WE Ch. 7.6 - Prob. 19WE Ch. 7.6 - Prob. 20WE Ch. 7.6 - Prob. 21WE Ch. 7.6 - Prob. 22WE Ch. 7.6 - Prob. 23WE Ch. 7.6 - Prob. 24WE Ch. 7.6 - Prob. 25WE Ch. 7.6 - Prob. 26WE Ch. 7.6 - Prob. 27WE Ch. 7.6 - Prob. 28WE Ch. 7.6 - Prob. 29WE Ch. 7.6 - Prob. 30WE Ch. 7.6 - Prob. 31WE Ch. 7.6 - Prob. 32WE Ch. 7.6 - Prob. 33WE Ch. 7.6 - Prob. 1ST2 Ch. 7.6 - Prob. 2ST2 Ch. 7.6 - Prob. 3ST2 Ch. 7.6 - Prob. 4ST2 Ch. 7.6 - Prob. 5ST2 Ch. 7.6 - Prob. 6ST2 Ch. 7.6 - Prob. 7ST2 Ch. 7.6 - Prob. 8ST2 Ch. 7.6 - Prob. 9ST2 Ch. 7.6 - Prob. 10ST2 Ch. 7.6 - Prob. 11ST2 Ch. 7.6 - Prob. 1E Ch. 7.6 - Prob. 2E Ch. 7.6 - Prob. 3E Ch. 7.6 - Prob. 4E Ch. 7.6 - Prob. 5E Ch. 7.6 - Prob. 6E Ch. 7.6 - Prob. 7E Ch. 7 - Prob. 1CR Ch. 7 - Prob. 2CR Ch. 7 - Prob. 3CR Ch. 7 - Prob. 4CR Ch. 7 - Prob. 5CR Ch. 7 - Prob. 6CR Ch. 7 - Prob. 7CR Ch. 7 - Prob. 8CR Ch. 7 - Prob. 9CR Ch. 7 - Prob. 10CR Ch. 7 - Prob. 11CR Ch. 7 - Prob. 12CR Ch. 7 - Prob. 13CR Ch. 7 - Prob. 14CR Ch. 7 - Prob. 15CR Ch. 7 - Prob. 16CR Ch. 7 - Prob. 17CR Ch. 7 - Prob. 18CR Ch. 7 - Prob. 19CR Ch. 7 - Prob. 20CR Ch. 7 - Prob. 21CR Ch. 7 - Prob. 22CR Ch. 7 - Prob. 23CR Ch. 7 - Prob. 24CR Ch. 7 - Prob. 1CT Ch. 7 - Prob. 2CT Ch. 7 - Prob. 3CT Ch. 7 - 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To Prove: that triangles Δ F X E ∼ Δ S X R in the figure shown such that E F → ∥ R S → .

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To Prove: that triangles ΔFXE∼ΔSXR in the figure shown such that EF→∥RS→ .

Explanation of Solution

To Prove: that FXSX=EFRS in the figure shown such that EF→∥RS→ .

Explanation of Solution

Chapter 7 Solutions

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