Outside the middle school program / Quantities: angles 5 exercises corrected

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1. Us-math E.9627 With American notations: the configuration opposite admits the construction program below : Place the points E and F such that EF = 4 cm Draw the half-line −−→ ED such that m ∠ FEx = 70 o Place the point D such that ED = 2.5 cm Draw the triangle EDF . Consider the configuration below : Give the construction program for this figure using American notation. E.9626 Consider the configuration be-low : Using measurements taken with the protractor, complete the blanks : a m ∠ CAB = : : : b m ∠ ACM = : : : c m ∠ CMB = : : : 2. Copying angles with a compass E.2480 In this exercise, two angles must be plotted on the segment [ MN ] using only the compass and the ungraduated ruler : 1 a Draw the half-line [ Mr ) so as to have the angles xAy and rMN of the same measure. b Draw the half-line [ Ns ) verifying the equality of the following measures : sNM = zBt 2 Use the protractor to check that the angles have been transferred correctly. E.5586 Consider the two angles ∠ ABC and ∠ DEF shown below : 1 Using the compass and the unlined ruler, construct the half-line [ Bx ) so that the angles ∠ DEF and ∠ xBC are of equal measure. 2 Compare the measures of the angles ∠ ABC and ∠ DEF . 3. Constructions with GeoGebra https://chingmath.fr chapExoCorrec/9627 sacados/9627 2;5cm4cmDEF70o 38o8cm6cmABC72o42oD chapExoCorrec/9626 sacados/9626 ABCM chapExoCorrec/2480 sacados/2480 AxyBztMN chapExoCorrec/5586 sacados/5586 ABCDEF
E.10475 Consider the parallelogram ABCD shown below : 1 Construct this parallelogram using Geogebra. 2 Give the rounded measure of the segment [ AC ] to the nearest hundredth : AC ≈ : : : https://chingmath.fr chapExoCorrec/10475 sacados/10475 ABCD55o5cm3cm