Prove if possible that the following pairs of triangles are congruent. Write the complete proof in your paper homework and for online (only) complete the probing statement (if any) that is a part of your proof or related to it. If the triangles cannot be shown to be congruent, leave the box for the second triangle blank and choose for reason “Cannot be determined.” △ DAM ≅?△ by reason ? PLEASE HLEP OUT FILL IN QUESTION MARKS 55 POINTS

Answer:

ΔDAM ≅ ΔTUM according to Side Angle Side (SAS) rule of congruency

Step-by-step explanation:

The proof of congruency of the two triangles is as follows;

Statement [tex]{}[/tex]                                                                    Reason

Segment DM is congruent to Segment TM [tex]{}[/tex]              Given

Segment AM is congruent to Segment UM [tex]{}[/tex]              Given

∠DMA is congruent to ∠UMT [tex]{}[/tex]                                    Given

Therefore, ΔDAM is congruent to ΔTUM [tex]{}[/tex]                  SAS rule of congruency

Where;

SAS =  Side Angle Side  

Therefore;

ΔDAM ≅ ΔTUM according to Side Angle Side (SAS) rule of congruency.

Answer:

△ DAM ≅△TUM  by reason SAS

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​
​ ​Lisa smiled at her reflection, then made a funny face. She wore a cap, and her long hair blew in the wind. Her cheeks were pinkish from the cold and the wind, and her nose was moist. Lisa stepped away from nature’s mirror and was debating what after-school snack she would fix when she spied a lake of rainwater that extended from their squat trailer to the rusting tractors parked in the back.
​
“Oh, wow,” she remarked. The afternoon glare off the lake made her squint. How strange, she mused. It had rained just after lunch at school, but the downpour hadn’t seemed that heavy. Had a cloud stalled above their trailer and poured out its little heart?
​
She strolled around the new lake, occasionally gazing back at her footprints in the soggy earth. The chickens in the yard were soggy, too, their feathers parted and showing the yellow skin underneath. Still, they scratched and pecked at the ground and left their own shallow prints in the wet earth.
​
​​I’ll draw the lake, Lisa decided. She liked drawing birds, but had grown tired of sparrows, blue jays, and blackbirds wrapped in glossiness. These days she liked doing portraits, though she could draw objects, too. The previous week she had drawn the pile of tires behind the tractors; the drawing now adorned the front of the refrigerator.
​
​Lisa produced a pencil and her sketch pad from her backpack. She had to capture this lake before it disappeared into the earth, taking with it the fluffy clouds mirrored on its surface. Birds the color of asphalt flittered about the edges of the puddle, and she recognized them as common finches. She knelt on the wet ground, putting down on paper what her eye beheld, what her fingers were able to portray.
​
​ ​Her gift was a mystery, as neither of her parents could draw. Their talent was to bring their faces together, like lovebirds, and warble Mexican songs, although most of the time they were working. Her father was employed by a dairy and her mother, from windy March to scorching July, worked in the fields—she thinned beets and cotton and was sometimes on a women’s crew that harvested cantaloupes. There were also two seasons when she packed peaches.
​
​ ​Lisa’s dog, Pecas, roamed in the background. He paused, head raised and fur parting from the wind. Lisa had to smile. He seemed to be posing as the subject of her artwork. His breath hung in the air when he barked at movement in the grass—a rabbit, she wondered, or a quail in search of a mate? The gopher that had tunneled under their garden patch last summer and nibbled at everything her father had planted: cucumbers, tomatoes, chilies, and eggplant?
​
​I’ll surprise my parents with this new drawing, Lisa thought. “Cállate!” 1 she ordered Pecas, who turned, head lifted and tail wagging, and happily trotted toward her. But when two large white birds dropped from the sky, Pecas lurched in fear, kicking up water. “Oh my gosh,” Lisa uttered, dropping her pencil. She searched the sky for other birds. But the sky was vacant, except for blackbirds wheeling over the fields across the street.
​
​As she took a cautious step toward the birds, she remembered that the night before she had been looking in her Audubon book at a picture of a bird that she would like to draw: the egret. Now before her stood a pair of egrets, which, against the backdrop of the grayish lake, were white as snow.
​
​Lisa’s heart thumped with excitement and Pecas’s tail wagged briskly. Lisa again turned her attention skyward: Where had they come from? What wind had brought them here at this moment? She reached for the pencil on the ground and rolled it between her palms to spark the fires of creation. She had to draw these rare and silent birds, who, if she remembered right, seldom whistled or twittered with song.

​Lisa turned and gasped. Over the lake arched a rainbow that began somewhere behind the tractors. The centerpiece was the pair of egrets, still as statues. Even Pecas stopped his whining. Lisa wondered, Can he really see the rainbow? She had read that dogs were mostly color-blind, but that birds, even common ones like the sparrow and finch, could slice the color red into a dozen shades. Their world was richer in color than some of the greatest paintings.
​
​Lisa tried to sketch the scene quickly before it disappeared: First the egrets would fly away, then the rainbow fade, and finally the deposit of rain sink into the earth.
​
​“It’s so beautiful,” she remarked.
​
​A black-and-white calf ambled out from between the rusty tractors. Splattered with mud, it moved with a heavy sway toward the water. The calf stopped, then raised its heavy head to Lisa, as if saying, “Go ahead—draw me.” It lowered its gaze to turn and present a mournful profile, spittle hanging from its mouth.
​
​ ​“Oh,” Lisa let out, and added the cow to the scene. She made a face when she heard the telephone ring.
​

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Question 7 T7
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Distance (mi)
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CLEAR
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o
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