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kiki8734
12.02.2020 •
Social Studies
Match them up
1. to avoid English taxes-New Jersey
2. refuge for English Catholics-Pennsylvania
3. provided a coastline for Pennsylvania -Georgia
4. William Penn-Delaware
5. a buffer against northern expansion of Spanish colonies-Carolinas
6. lands sales to get rich-New York
7. refuge for Quakers-Maryland
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Ответ:
△JKL ≅ △XYZ by HL congruency for right triangles
Step-by-step explanation:
If only given two sides and an uncontained angle, the triangles may not necessarily be congruent. However, since the given angle is a right angle, they are congruent.
When given that the hypotenuse and any "leg" of the right triangles are equal, the triangles are congruent.
Since one angle is 90°, the other two angles must be acute. This is unlike the ambiguous case when given an uncontained acute angle, where two possible triangles can be made by making another angle obtuse.
Imagine an isosceles triangle cut in half at the altitude, creating two right triangles (JKL and XYZ). They have the same angle measures. Each with a right angle, the angle that had an equal measure in the isosceles, and the unequal angle bisected. For the triangles' sides, the isosceles base was bisected by the altitude, and they have the same altitude.