
GRADE 9 SUMMATIVE TEST
Quiz by Dawis NHS
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What condition would confirm that the given quadrilateral is a parallelogram?
A gardener is designing a rectangular flower bed and wants to add a fence around it. The fence must form a parallelogram. The gardener measured the two opposite sides to be equal. What additional property must the fence satisfy to ensure it forms a parallelogram?
The following statements are properties of a square EXCEPT
Using the figure below, which angle is congruent to ∠CFE?
If sides AB and DC of quadrilateral ABCD are parallel, which additional information would be sufficient to prove that ABCD is a parallelogram?
Theorem on Rhombus: The diagonals of the rhombus ABXY are perpendicular. What is the measure of ∠1?
If the vertices of a triangle are A, B, and C, and D and E are the midpoints of AB and AC, what is true about DE?
How can we calculate the length of the midline AE in ∆CRS?
Given Isosceles Trapezoid ABCD, with median EF. Which of the following reasons supports the statement that ∠DAB ≅ ∠CBA?
How long is the other base if the median is 10 and the other base is 12 cm?
A 48-meter fence surrounds a rectangular landscape. One side of the landscape is 2 meters longer than the other. What is the perimeter of the landscape?
A 48-meter fence surrounds a rectangular landscape. One side of the landscape is 2 meters longer than the other. How long is the longer side of the landscape?
A 48-meter fence surrounds a rectangular landscape. One side of the landscape is 2 meters longer than the other. How many square meters is the area of the rectangular landscape?
A 48-meter fence surrounds a rectangular landscape. One side of the landscape is 2 meters longer than the other. The architect decided to extend the landscape to double the area. Which of the following is a possible dimension of the landscape?
What is an equation stating that two ratios are equal?
What property of proportion states that the product of the means is equal to the product of the extremes?
The building is 150 feet high and casts a shadow of 45 feet. At the same time, a flagpole casts a shadow that is 6 feet long.
The building is 150 feet high and casts a shadow of 45 feet. At the same time, a flagpole casts a shadow that is 6 feet long. How tall is the flagpole?
Under what conditions can you determine that two polygons are similar?
Which triangle is NOT similar to the other three?
If ∆JKL~∆TUV, what is the corresponding side of side UV?
Which of the following describes the relationship between the corresponding sides of the two triangles if ∆CAT~∆DOG?
Which theorem justifies that ABC XZY?
What similarity can be used to prove that ∆KLM~∆QPM?
A builder is designing a rectangular garden. The length of the garden is 16 meters, and the diagonal of the garden is 20 meters. What is the width of the garden?
In rhombus ABCD, the length of side AB is x + 3, and the length of side BC is 2x. What is the length of side AD?
Maria is designing a picture frame. She starts with a rectangular frame that has a length of 7 cm and a width of 5 cm. She then decides to design a square frame with the same perimeter as the rectangular one. What must be the side length of the square frame?
The area of a kite is 25 square centimeters. The length of the longer diagonal is twice that of the shorter diagonal. What are the possible lengths of the diagonals of the kite?
The size of the screen of a television set is usually given in terms of its diagonal. Find the screen size if it is 30 inches wide and 40 inches long.
In a kite, the perpendicular bisector of at least one diagonal is the other diagonal. Given kite BEST, what is the measure of ∠2 if ∠1 measures 44 degreed?
Which of the following represents a proportion?
In the figure below, LM intersects NP at point Q. Which additional information would be enough to prove that ∆LNQ~∆MPQ?
What similarity theorem supports that ∆GHI~∆LKJ?
What similarity theorem can be applied to prove that ~
Find the value of x.
Which of the following triples represents the lengths of the sides of a right triangle?
The lengths of the sides of a triangle are 6, 8, and 10. What kind of a triangle is it?
A streetlight casts a shadow at a 60° angle to the ground. If the shadow is 8 m long, how tall is the pole?
A ladder is leaning against a wall. The ladder's base is 9 ft away from the wall, and the ladder reaches a height of 12 ft on the wall. What is the length of the ladder?
Approximately what is the length of the rope for the kite sail, in order to pull the ship at an angle of 450 and be at a vertical height of 150 m, as shown in the diagram opposite?