Oscar G.

asked • 04/27/23

Answer question with correct steps and answers please


Use the figure shown to answer the question that follows.


arrangement of triangles


What is the order of rotation of this figure?

A. 2

B.4

C.6

D.8


Two triangles are shown on the coordinate plane.


triangle ABC with A at 1 comma 2, B at 1 comma 4, C at 3 comma 3, angle A measuring 63 degrees, and side AC measuring 2.2 units, triangle EDF with E at 3 comma 2, D at 5 comma 1, F at 5 comma 3, angle F measuring 63 degrees, and side EF measuring 2.2 units


Name the congruent triangles and justify the reason for congruence.

 ΔABC ≅ ΔFDE by SAS 

ΔABC ≅ ΔFDE by HL 

ΔABC ≅ ΔFED by SSS 

ΔABC ≅ to ΔFED by ASA

If triangle ABC is translated 4 units to the left and 2 units downward, are the pre-image and image congruent? Why, or why not?

 Yes, distance is preserved and angle measure is not

 No, angle measure is preserved but distance is not 

Yes, distance and angle measure are preserved 

No, neither distance nor angle measure are preserved


Lines m and n are cut by a transversal, as shown in the figure.


Line l is drawn from the upper left to lower right. Lines m and n are drawn from the upper right to the lower left. Line l intersects line m and lines n. Where line l intersects line m, the angles formed are listed from the top in clockwise order: angle 1, angle 2, angle 3, and angle 4. Where line l intersects line n, the angles formed are listed from the top in clockwise order: angle 5, angle 6, angle 7, and angle 8.


Given line m is not parallel to line n, prove ∠4 is not congruent to ∠6 by contradiction. (2 points for the assumption statement, 4 points for the remainder of the proof)




Given the following conditional statement:


If m∠F = 30° and m∠G = 80°, then ∠F and ∠G are not complementary.

Part A: How is proof by contradiction different from a traditional proof? What assumption statement will begin proof by contradiction for the given conditional statement? (3 points)


Part B: Prove the given conditional statement is true by contradiction. (3 points)


Philip P.

The point values assigned to the questions imply that these are test questions. It is unethical to answer test questions.
Report

04/28/23

1 Expert Answer

By:

Tiffany P. answered • 05/15/23

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4.8 (22)

Dedicated Math tutor, background in education and administration

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