
Unit 8 - Day 7
Presentation
•
Mathematics
•
10th Grade
•
Practice Problem
•
Medium
+4
Standards-aligned
Aldwin Martinada
Used 2+ times
FREE Resource
17 Slides • 27 Questions
1
Unit 8 - Day 7
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Property 1
Exactly two pairs of consecutive congruent sides.
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Property 1
(shorter side)
(longer side)
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Property 2
One pair of opposite angles are congruent.
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Property 3
Diagonals are PERPENDICULAR.
It means that they intersect at exactly 90 degrees.
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lET'S WORK ON NUMBER 1 & 2
with the following idea in mind.
Remember that the sum of interior angles of a quadrilateral (any) is 3600. It means that the sum of the interior angles is 3600.
Applying property 2
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no. 1
<A = 850
<B = ?
<C = 430
<D = ?
by property 2,
We can say that <b and <D are congruent
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Fill in the Blanks
Step 1. Add the 2 given angles.
What is the sum of the 2 given angles?
Type answer...
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Fill in the Blanks
Step 2. Subtract the sum from 3600.
So what is 360 - 128?
Type answer...
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Fill in the Blanks
Property 2 states that a kite has one pair of congruent angles, which means <B and <D are equal.
Step 3. We divide the answer from STEP 2 by 2.
Type answer...
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Multiple Choice
Property 2 states that a kite has one pair of congruent angles, which means which 2 angles are equal?
<J & <K
<J & <L
<J & <M
<K & <L
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Fill in the Blanks
How to find <J?
Property 2 states that a kite has one pair of congruent angles, which means which 2 angles are equal. This means that if <L is 82, <J is equal to
Type answer...
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Drag and Drop
The sum of interior angles of a quadrilateral is
which is equal to
Then, once we have the sum, we must now
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Fill in the Blanks
How to find <PTQ?
Property 3 states that diagonals intersect perpendicularly.
<PTQ is an angle in the intersection of the diagonals, therefore <PTQ is equal to
Type answer...
19
Fill in the Blanks
How to find <PQT?
<PQT is the red angle in the figure and one of the interior angle of a triangle PQT.
Remember that the sum of the interior angle is 180, and we already have a 900 and 370, how many degrees is needed to get a total of a 1800?
Type answer...
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Fill in the Blanks
How to find <QRT?
Property 2 states that a kite has one pair of congruent angles, which means which 2 angles are equal. This means that if <QPS is 37, <QRT is equal to
Type answer...
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Fill in the Blanks
How to find <GDE?
<GDE is simply twice of the given <HDG, therefore <GDE is equal to
Type answer...
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Fill in the Blanks
How to find <DEH?
<DEH is the red angle in the figure and one of the interior angle of a triangle DHE.
Remember that the sum of the interior angle is 180, and we already have a 900 and 590, how many degrees is needed to get a total of a 1800?
Type answer...
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Fill in the Blanks
How to find <DGH?
Property 2 states that a kite has one pair of congruent angles, which means which 2 angles are equal. This means that if <DEH is 31, <DGH is equal to
Type answer...
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Multiple Choice
How to find RX?
Looking at the given, we can solve it through the Pythagorean theorem. Which is the best solution based on the given? Identify carefully what exactly is RX; is it a LEG or a HYPOTENUSE?
2142−82
2142+82
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Fill in the Blanks
So how long is RX?
Round off your answer up to tenths or with one decimal place only.
Type answer...
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Multiple Choice
How to find QS?
Again, we can solve it through the Pythagorean theorem. Which is the best solution based on the given? Identify carefully what exactly is QS; is it a LEG or a HYPOTENUSE?
2102−92
2102+92
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Fill in the Blanks
So how long is QS?
Round off your answer up to tenths or with one decimal place only.
Type answer...
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Multiple Choice
How to find CD?
Again, we can solve it through the Pythagorean theorem. Which is the best solution based on the given? Identify carefully what exactly is CF; is it a LEG or a HYPOTENUSE?
2232−152
2232+152
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Fill in the Blanks
Since, CD is equal with CF by Property 1,
how long is CD?
Round off your answer up to tenths or with one decimal place only.
Type answer...
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Multiple Choice
How to solve for x?
By Property 2 of a Kite that one pair of angle is congruent. Which angles are congruent?
<S and <T
<S and <U
<S and <V
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Fill in the Blanks
How to solve for x?
By Property 2 of a Kite that one pair of angle is congruent. Therefore, <S and <U are equal.
Solve for x. Use Desmos.
Type answer...
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Fill in the Blanks
How to solve for x?
The same as number 11,
by Property 2 of a Kite that one pair of angle is congruent. Therefore, < L and <N are equal.
Solve for x. Use Desmos.
Type answer...
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Fill in the Blanks
Using the value of x, what is now the measure of <L?
Type answer...
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Fill in the Blanks
What is the measure of the missing angle B?
Type answer...
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Fill in the Blanks
How to find x?
Simply add all the angles equal them to 3600.
Use Desmos. What is x?
Type answer...
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Fill in the Blanks
How to find <STV?
Let's solve for x first by adding the given angles equal them to 90. What is x?
Type answer...
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Multiple Choice
How to find <STV?
Where should you use the value of x you just computed?
9x + 1
23x - 7
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Fill in the Blanks
<STV is equal with <SRV by PROPERTY 2.
Therefore, what is the measure of <STV.
Type answer...
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Unit 8 - Day 7
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